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minuit2GausFit.C File Reference
Tutorials » Fit Tutorials

Detailed Description

View in nbviewer Open in SWAN Perform fits with different configurations using Minuit2

pict1_minuit2GausFit.C.png
pict2_minuit2GausFit.C.png
Processing /mnt/build/workspace/root-makedoc-v610/rootspi/rdoc/src/v6-10-00-patches/tutorials/fit/minuit2GausFit.C...
Do Fit 1
Do Fit 2
**********
** 10 **SET NOGRAD
**********
PARAMETER DEFINITIONS:
NO. NAME VALUE STEP SIZE LIMITS
1 Constant 4.57135e+01 1.52625e+00 no limits
2 Mean 2.76000e-02 3.47499e-02 no limits
3 Sigma 1.03818e+00 2.88039e-02 0.00000e+00 1.03818e+01
**********
** 11 **SET ERR 1
**********
**********
** 12 **SET PRINT 2
**********
**********
** 13 **SET STR 1
**********
NOW USING STRATEGY 1: TRY TO BALANCE SPEED AGAINST RELIABILITY
**********
** 14 **MIGRAD 1345 0.01
**********
FIRST CALL TO USER FUNCTION AT NEW START POINT, WITH IFLAG=4.
START MIGRAD MINIMIZATION. STRATEGY 1. CONVERGENCE WHEN EDM .LT. 1.00e-05
FCN=130.409 FROM MIGRAD STATUS=INITIATE 12 CALLS 13 TOTAL
EDM= unknown STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.57135e+01 1.52625e+00 1.52625e+00 1.36343e+01
2 Mean 2.76000e-02 3.47499e-02 3.47499e-02 3.90908e+01
3 Sigma 1.03818e+00 2.88039e-02 9.24902e-03 1.82000e+03
NO ERROR MATRIX
FCN=69.8437 FROM MIGRAD STATUS=PROGRESS 20 CALLS 21 TOTAL
EDM=5.25718 STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.90980e+01 1.52625e+00 -6.61556e+00 1.13824e+00
2 Mean 1.72630e-02 3.47499e-02 -1.03370e-02 7.78545e+00
3 Sigma 9.76020e-01 2.88039e-02 -2.02323e-02 -3.25473e+02
MIGRAD MINIMIZATION HAS CONVERGED.
MIGRAD WILL VERIFY CONVERGENCE AND ERROR MATRIX.
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
3.7191e-01 9.9996e-01 1.6281e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=65.1586 FROM MIGRAD STATUS=CONVERGED 68 CALLS 69 TOTAL
EDM=3.87548e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.63132e+01 1.52625e+00 4.71626e-03 4.73595e-05
2 Mean 1.30820e-02 3.47499e-02 1.38022e-04 4.12397e-04
3 Sigma 1.03413e+00 2.88039e-02 2.86332e-05 1.20620e-02
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=1
2.329e+00 2.427e-04 -2.761e-02
2.427e-04 1.208e-03 -9.332e-06
-2.761e-02 -9.332e-06 8.297e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62806 1.000 0.005 -0.628
2 0.00947 0.005 1.000 -0.009
3 0.62810 -0.628 -0.009 1.000
**********
** 15 **HESSE 1345
**********
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
3.7208e-01 9.9996e-01 1.6280e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=65.1586 FROM HESSE STATUS=OK 16 CALLS 85 TOTAL
EDM=3.87434e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER INTERNAL INTERNAL
NO. NAME VALUE ERROR STEP SIZE VALUE
1 Constant 3.63132e+01 1.52598e+00 9.43253e-04 3.63132e+01
2 Mean 1.30820e-02 3.47499e-02 2.76045e-05 1.30820e-02
3 Sigma 1.03413e+00 2.87987e-02 5.72664e-06 -9.28597e-01
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=1
2.329e+00 2.452e-04 -2.759e-02
2.452e-04 1.208e-03 -9.283e-06
-2.759e-02 -9.283e-06 8.294e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
EXTERNAL ERROR MATRIX. NDIM= 3 NPAR= 3 ERR DEF=1
2.329e+00 2.452e-04 -2.759e-02
2.452e-04 1.208e-03 -9.283e-06
-2.759e-02 -9.283e-06 8.294e-04
**********
** 16 **MINOS 1345 1
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.631e+01 + 1.526e+00 = 3.784e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1463 FROM MIGRAD STATUS=CONVERGED 13 CALLS 99 TOTAL
EDM=9.69537e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.3 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.78392e+01 fixed
2 Mean 1.31384e-02 3.46090e-02 -1.04273e-04 -1.08693e-02
3 Sigma 1.01634e+00 2.20266e-02 7.23215e-05 6.82528e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 109 TOTAL
EDM=2.03145e-09 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.78486e+01 fixed
2 Mean 1.31431e-02 3.46152e-02 4.70382e-06 -2.41307e-03
3 Sigma 1.01623e+00 2.19883e-02 -3.69493e-05 -4.50886e-03
THE POSITIVE MINOS ERROR OF PARAMETER 1 Constant, IS 1.5355e+00
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.631e+01 + -1.526e+00 = 3.479e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1712 FROM MIGRAD STATUS=CONVERGED 10 CALLS 120 TOTAL
EDM=2.09303e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.5 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.47872e+01 fixed
2 Mean 1.28264e-02 3.47815e-02 -9.49213e-05 8.06316e-03
3 Sigma 1.05253e+00 2.28779e-02 7.90172e-05 1.02334e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 130 TOTAL
EDM=2.79675e-09 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.3 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.47967e+01 fixed
2 Mean 1.28255e-02 3.47833e-02 -9.33234e-07 2.98450e-03
3 Sigma 1.05241e+00 2.28922e-02 -3.75248e-05 2.53450e-03
THE NEGATIVE MINOS ERROR OF PARAMETER 1 Constant, IS -1.5165e+00
**************************************************************************
PARAMETER 1 Constant RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 45 CALLS 130 TOTAL
EDM=3.87434e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02
3 Sigma 1.03413e+00 2.87987e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
**********
** 17 **MINOS 1345 2
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 1.308e-02 + 3.475e-02 = 4.783e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1579 FROM MIGRAD STATUS=CONVERGED 11 CALLS 142 TOTAL
EDM=1.93183e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.62903e+01 1.52836e+00 -2.99573e-02 -3.41808e-05
2 Mean 4.78318e-02 fixed
3 Sigma 1.03363e+00 2.87626e-02 -7.55896e-05 -3.32258e-02
THE POSITIVE MINOS ERROR OF PARAMETER 2 Mean, IS 3.4761e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 1.308e-02 + -3.475e-02 = -2.167e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1576 FROM MIGRAD STATUS=CONVERGED 9 CALLS 152 TOTAL
EDM=7.78679e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.62756e+01 1.52259e+00 -3.05211e-02 -2.88497e-05
2 Mean -2.16679e-02 fixed
3 Sigma 1.03418e+00 2.88252e-02 -7.04529e-05 5.71311e-02
THE NEGATIVE MINOS ERROR OF PARAMETER 2 Mean, IS -3.4767e-02
**************************************************************************
PARAMETER 2 Mean RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 22 CALLS 152 TOTAL
EDM=3.87434e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87987e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
**********
** 18 **MINOS 1345 3
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.034e+00 + 2.880e-02 = 1.063e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1442 FROM MIGRAD STATUS=CONVERGED 9 CALLS 162 TOTAL
EDM=1.47645e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.9 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.53470e+01 1.16696e+00 -8.00972e-03 -6.23576e-04
2 Mean 1.25094e-02 3.47911e-02 -2.50233e-04 -5.93704e-03
3 Sigma 1.06293e+00 fixed
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 172 TOTAL
EDM=2.15915e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.9 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.53402e+01 1.15647e+00 -6.78464e-03 -1.78872e-04
2 Mean 1.25104e-02 3.47831e-02 1.01851e-06 5.67346e-03
3 Sigma 1.06314e+00 fixed
THE POSITIVE MINOS ERROR OF PARAMETER 3 Sigma, IS 2.9010e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.034e+00 + -2.880e-02 = 1.005e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1707 FROM MIGRAD STATUS=CONVERGED 10 CALLS 183 TOTAL
EDM=2.23345e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.72625e+01 1.19843e+00 -8.82618e-03 5.85523e-04
2 Mean 1.31251e-02 3.45732e-02 -2.79205e-04 -1.83927e-02
3 Sigma 1.00533e+00 fixed
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 193 TOTAL
EDM=5.80949e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.72567e+01 1.21915e+00 -5.83468e-03 2.92242e-04
2 Mean 1.31320e-02 3.46189e-02 6.95630e-06 -9.25062e-03
3 Sigma 1.00550e+00 fixed
THE NEGATIVE MINOS ERROR OF PARAMETER 3 Sigma, IS -2.8627e-02
**************************************************************************
PARAMETER 3 Sigma RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 193 TOTAL
EDM=3.87434e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87987e-02 -2.86274e-02 2.90102e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 193 TOTAL
EDM=3.87434e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87987e-02 -2.86274e-02 2.90102e-02
Do Fit 3
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 192 TOTAL
EDM=1.12638e-08 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.63274e+01 1.52707e+00 -5.84794e-03 2.90182e-04
2 Mean 1.30805e-02 3.47498e-02 6.98660e-06 -9.24097e-03
3 Sigma 1.03373e+00 2.88100e-02 2.88100e-02 5.69845e-02
Do Fit 4
**********
** 32 **SET NOGRAD
**********
PARAMETER DEFINITIONS:
NO. NAME VALUE STEP SIZE LIMITS
1 Constant 4.57135e+01 1.52707e+00 no limits
2 Mean 2.76000e-02 3.47498e-02 no limits
3 Sigma 1.03818e+00 2.88100e-02 0.00000e+00 1.03818e+01
**********
** 33 **SET ERR 0.5
**********
**********
** 34 **SET PRINT 2
**********
**********
** 35 **SET STR 1
**********
NOW USING STRATEGY 1: TRY TO BALANCE SPEED AGAINST RELIABILITY
**********
** 36 **MIGRAD 1345 0.01
**********
FIRST CALL TO USER FUNCTION AT NEW START POINT, WITH IFLAG=4.
START MIGRAD MINIMIZATION. STRATEGY 1. CONVERGENCE WHEN EDM .LT. 1.00e-05
FCN=59.3789 FROM MIGRAD STATUS=INITIATE 12 CALLS 13 TOTAL
EDM= unknown STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.57135e+01 1.52707e+00 1.52707e+00 4.14792e+00
2 Mean 2.76000e-02 3.47498e-02 3.47498e-02 -1.06985e-03
3 Sigma 1.03818e+00 2.88100e-02 9.25099e-03 5.68723e+02
ERR DEF= 0.5
NO ERROR MATRIX
FCN=44.9407 FROM MIGRAD STATUS=PROGRESS 20 CALLS 21 TOTAL
EDM=3.09595 STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.06144e+01 1.52707e+00 -5.09910e+00 4.67864e-01
2 Mean 2.76007e-02 3.47498e-02 6.78358e-07 2.52993e-04
3 Sigma 1.00093e+00 2.88100e-02 -1.20564e-02 -1.73960e+02
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
MIGRAD WILL VERIFY CONVERGENCE AND ERROR MATRIX.
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
4.2257e-01 1.0000e+00 1.5774e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=43.3935 FROM MIGRAD STATUS=CONVERGED 59 CALLS 60 TOTAL
EDM=1.99612e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84270e+01 1.48837e+00 5.56282e-03 1.71484e-04
2 Mean 2.76010e-02 3.28310e-02 1.50144e-04 1.49071e-07
3 Sigma 1.03819e+00 2.32194e-02 2.78313e-05 -3.32425e-02
ERR DEF= 0.5
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=0.5
2.215e+00 -3.264e-06 -1.996e-02
-3.264e-06 1.078e-03 8.919e-08
-1.996e-02 8.919e-08 5.391e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57743 1.000 -0.000 -0.577
2 0.00012 -0.000 1.000 0.000
3 0.57743 -0.577 0.000 1.000
**********
** 37 **HESSE 1345
**********
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
4.2258e-01 1.0000e+00 1.5774e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=43.3935 FROM HESSE STATUS=OK 16 CALLS 76 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER INTERNAL INTERNAL
NO. NAME VALUE ERROR STEP SIZE VALUE
1 Constant 3.84270e+01 1.48836e+00 1.11256e-03 3.84270e+01
2 Mean 2.76010e-02 3.28310e-02 3.00288e-05 2.76010e-02
3 Sigma 1.03819e+00 2.32192e-02 5.56625e-06 -9.27292e-01
ERR DEF= 0.5
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=0.5
2.215e+00 -9.565e-07 -1.996e-02
-9.565e-07 1.078e-03 2.677e-08
-1.996e-02 2.677e-08 5.391e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
EXTERNAL ERROR MATRIX. NDIM= 3 NPAR= 3 ERR DEF=0.5
2.215e+00 -9.565e-07 -1.996e-02
-9.565e-07 1.078e-03 2.677e-08
-1.996e-02 2.677e-08 5.391e-04
**********
** 38 **MINOS 1345 1
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.843e+01 + 1.488e+00 = 3.992e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8792 FROM MIGRAD STATUS=CONVERGED 11 CALLS 88 TOTAL
EDM=2.29183e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.99154e+01 fixed
2 Mean 2.76008e-02 3.28310e-02 4.42293e-07 2.03861e-05
3 Sigma 1.02513e+00 1.84791e-02 1.01395e-04 1.11230e-01
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 98 TOTAL
EDM=3.15901e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.99370e+01 fixed
2 Mean 2.76008e-02 3.28310e-02 -1.77742e-08 6.34636e-06
3 Sigma 1.02494e+00 1.84782e-02 -6.36890e-05 1.28491e-04
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 1 Constant, IS 1.5103e+00
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.843e+01 + -1.488e+00 = 3.694e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.9086 FROM MIGRAD STATUS=CONVERGED 10 CALLS 109 TOTAL
EDM=4.37733e-12 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.69387e+01 fixed
2 Mean 2.76012e-02 3.28310e-02 -3.75907e-07 -2.16703e-05
3 Sigma 1.05196e+00 1.94603e-02 1.03115e-04 -4.81198e-04
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 119 TOTAL
EDM=1.97369e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.69607e+01 fixed
2 Mean 2.76013e-02 3.28310e-02 2.47794e-08 5.15543e-06
3 Sigma 1.05175e+00 1.94591e-02 -6.67389e-05 9.72864e-05
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 1 Constant, IS -1.4667e+00
**************************************************************************
PARAMETER 1 Constant RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 43 CALLS 119 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02
3 Sigma 1.03819e+00 2.32192e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
**********
** 39 **MINOS 1345 2
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 2.760e-02 + 3.283e-02 = 6.043e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 129 TOTAL
EDM=5.48419e-11 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84072e+01 1.48806e+00 -1.98032e-02 -5.65544e-06
2 Mean 6.04320e-02 fixed
3 Sigma 1.03872e+00 2.32205e-02 1.69597e-04 4.08108e-04
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 2 Mean, IS 3.2840e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 2.760e-02 + -3.283e-02 = -5.230e-03
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 139 TOTAL
EDM=4.81243e-14 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84072e+01 1.48807e+00 -1.98230e-02 2.01083e-07
2 Mean -5.23004e-03 fixed
3 Sigma 1.03872e+00 2.32204e-02 1.69842e-04 4.88060e-05
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 2 Mean, IS -3.2840e-02
**************************************************************************
PARAMETER 2 Mean RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 20 CALLS 139 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
**********
** 40 **MINOS 1345 3
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.038e+00 + 2.322e-02 = 1.061e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8749 FROM MIGRAD STATUS=CONVERGED 9 CALLS 149 TOTAL
EDM=2.67333e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 1.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.75871e+01 1.18830e+00 1.94276e-02 6.01734e-04
2 Mean 2.76016e-02 3.28310e-02 -5.31532e-07 2.10478e-05
3 Sigma 1.06141e+00 fixed
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8931 FROM MIGRAD STATUS=CONVERGED 9 CALLS 159 TOTAL
EDM=7.88426e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.6 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.75706e+01 1.18835e+00 -1.65072e-02 9.16397e-07
2 Mean 2.76016e-02 3.28310e-02 1.01526e-08 1.77298e-05
3 Sigma 1.06185e+00 fixed
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 3 Sigma, IS 2.3670e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.038e+00 + -2.322e-02 = 1.015e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.9131 FROM MIGRAD STATUS=CONVERGED 10 CALLS 170 TOTAL
EDM=1.18232e-11 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.4 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.93058e+01 1.24265e+00 1.93866e-02 -2.79597e-06
2 Mean 2.76007e-02 3.28310e-02 8.72244e-07 1.06419e-04
3 Sigma 1.01497e+00 fixed
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8931 FROM MIGRAD STATUS=CONVERGED 9 CALLS 180 TOTAL
EDM=8.40006e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 1.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.92887e+01 1.24269e+00 -1.71425e-02 6.19171e-07
2 Mean 2.76006e-02 3.28310e-02 -7.27142e-08 3.00651e-05
3 Sigma 1.01541e+00 fixed
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 3 Sigma, IS -2.2784e-02
**************************************************************************
PARAMETER 3 Sigma RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 180 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02 -2.27841e-02 2.36699e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 180 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02 -2.27841e-02 2.36699e-02
ERR DEF= 0.5
Do Fit 1
Do Fit 2
**********
** 50 **SET NOGRAD
**********
PARAMETER DEFINITIONS:
NO. NAME VALUE STEP SIZE LIMITS
1 Constant 4.57135e+01 1.52625e+00 no limits
2 Mean 2.76000e-02 3.47499e-02 no limits
3 Sigma 1.03818e+00 2.88039e-02 0.00000e+00 1.03818e+01
**********
** 51 **SET ERR 1
**********
**********
** 52 **SET PRINT 2
**********
**********
** 53 **SET STR 1
**********
NOW USING STRATEGY 1: TRY TO BALANCE SPEED AGAINST RELIABILITY
**********
** 54 **MIGRAD 1345 0.01
**********
FIRST CALL TO USER FUNCTION AT NEW START POINT, WITH IFLAG=4.
START MIGRAD MINIMIZATION. STRATEGY 1. CONVERGENCE WHEN EDM .LT. 1.00e-05
FCN=130.409 FROM MIGRAD STATUS=INITIATE 12 CALLS 13 TOTAL
EDM= unknown STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.57135e+01 1.52625e+00 1.52625e+00 1.36343e+01
2 Mean 2.76000e-02 3.47499e-02 3.47499e-02 3.90908e+01
3 Sigma 1.03818e+00 2.88039e-02 9.24902e-03 1.82000e+03
NO ERROR MATRIX
FCN=69.8437 FROM MIGRAD STATUS=PROGRESS 20 CALLS 21 TOTAL
EDM=5.25718 STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.90980e+01 1.52625e+00 -6.61556e+00 1.13824e+00
2 Mean 1.72630e-02 3.47499e-02 -1.03370e-02 7.78545e+00
3 Sigma 9.76020e-01 2.88039e-02 -2.02323e-02 -3.25473e+02
MIGRAD MINIMIZATION HAS CONVERGED.
MIGRAD WILL VERIFY CONVERGENCE AND ERROR MATRIX.
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
3.7191e-01 9.9996e-01 1.6281e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=65.1586 FROM MIGRAD STATUS=CONVERGED 68 CALLS 69 TOTAL
EDM=3.87548e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.63132e+01 1.52625e+00 4.71626e-03 4.73595e-05
2 Mean 1.30820e-02 3.47499e-02 1.38022e-04 4.12397e-04
3 Sigma 1.03413e+00 2.88039e-02 2.86332e-05 1.20620e-02
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=1
2.329e+00 2.427e-04 -2.761e-02
2.427e-04 1.208e-03 -9.332e-06
-2.761e-02 -9.332e-06 8.297e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62806 1.000 0.005 -0.628
2 0.00947 0.005 1.000 -0.009
3 0.62810 -0.628 -0.009 1.000
**********
** 55 **HESSE 1345
**********
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
3.7208e-01 9.9996e-01 1.6280e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=65.1586 FROM HESSE STATUS=OK 16 CALLS 85 TOTAL
EDM=3.87435e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER INTERNAL INTERNAL
NO. NAME VALUE ERROR STEP SIZE VALUE
1 Constant 3.63132e+01 1.52598e+00 9.43253e-04 3.63132e+01
2 Mean 1.30820e-02 3.47499e-02 2.76045e-05 1.30820e-02
3 Sigma 1.03413e+00 2.87988e-02 5.72664e-06 -9.28597e-01
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=1
2.329e+00 2.452e-04 -2.759e-02
2.452e-04 1.208e-03 -9.283e-06
-2.759e-02 -9.283e-06 8.294e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
EXTERNAL ERROR MATRIX. NDIM= 3 NPAR= 3 ERR DEF=1
2.329e+00 2.452e-04 -2.759e-02
2.452e-04 1.208e-03 -9.283e-06
-2.759e-02 -9.283e-06 8.294e-04
**********
** 56 **MINOS 1345 1
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.631e+01 + 1.526e+00 = 3.784e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1463 FROM MIGRAD STATUS=CONVERGED 13 CALLS 99 TOTAL
EDM=9.69555e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.3 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.78392e+01 fixed
2 Mean 1.31384e-02 3.46090e-02 -1.04273e-04 -1.08694e-02
3 Sigma 1.01634e+00 2.20266e-02 7.23220e-05 6.82534e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 109 TOTAL
EDM=2.03141e-09 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.78486e+01 fixed
2 Mean 1.31431e-02 3.46152e-02 4.70389e-06 -2.41305e-03
3 Sigma 1.01623e+00 2.19883e-02 -3.69490e-05 -4.50882e-03
THE POSITIVE MINOS ERROR OF PARAMETER 1 Constant, IS 1.5355e+00
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.631e+01 + -1.526e+00 = 3.479e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1712 FROM MIGRAD STATUS=CONVERGED 10 CALLS 120 TOTAL
EDM=2.09301e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.5 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.47872e+01 fixed
2 Mean 1.28264e-02 3.47815e-02 -9.49207e-05 8.06312e-03
3 Sigma 1.05253e+00 2.28779e-02 7.90168e-05 1.02333e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 130 TOTAL
EDM=2.79678e-09 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.3 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.47967e+01 fixed
2 Mean 1.28255e-02 3.47833e-02 -9.33176e-07 2.98452e-03
3 Sigma 1.05241e+00 2.28922e-02 -3.75251e-05 2.53451e-03
THE NEGATIVE MINOS ERROR OF PARAMETER 1 Constant, IS -1.5165e+00
**************************************************************************
PARAMETER 1 Constant RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 45 CALLS 130 TOTAL
EDM=3.87435e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02
3 Sigma 1.03413e+00 2.87988e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
**********
** 57 **MINOS 1345 2
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 1.308e-02 + 3.475e-02 = 4.783e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1579 FROM MIGRAD STATUS=CONVERGED 11 CALLS 142 TOTAL
EDM=1.93181e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.62903e+01 1.52836e+00 -2.99574e-02 -3.41814e-05
2 Mean 4.78318e-02 fixed
3 Sigma 1.03363e+00 2.87626e-02 -7.55894e-05 -3.32257e-02
THE POSITIVE MINOS ERROR OF PARAMETER 2 Mean, IS 3.4761e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 1.308e-02 + -3.475e-02 = -2.167e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1576 FROM MIGRAD STATUS=CONVERGED 9 CALLS 152 TOTAL
EDM=7.7868e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.62756e+01 1.52259e+00 -3.05211e-02 -2.88495e-05
2 Mean -2.16679e-02 fixed
3 Sigma 1.03418e+00 2.88252e-02 -7.04532e-05 5.71312e-02
THE NEGATIVE MINOS ERROR OF PARAMETER 2 Mean, IS -3.4767e-02
**************************************************************************
PARAMETER 2 Mean RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 22 CALLS 152 TOTAL
EDM=3.87435e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87988e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
**********
** 58 **MINOS 1345 3
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.034e+00 + 2.880e-02 = 1.063e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1442 FROM MIGRAD STATUS=CONVERGED 9 CALLS 162 TOTAL
EDM=1.47643e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.9 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.53470e+01 1.16696e+00 -8.00966e-03 -6.23572e-04
2 Mean 1.25094e-02 3.47911e-02 -2.50232e-04 -5.93704e-03
3 Sigma 1.06293e+00 fixed
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 172 TOTAL
EDM=2.15913e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.9 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.53402e+01 1.15647e+00 -6.78458e-03 -1.78871e-04
2 Mean 1.25104e-02 3.47831e-02 1.01854e-06 5.67343e-03
3 Sigma 1.06314e+00 fixed
THE POSITIVE MINOS ERROR OF PARAMETER 3 Sigma, IS 2.9010e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.034e+00 + -2.880e-02 = 1.005e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1707 FROM MIGRAD STATUS=CONVERGED 10 CALLS 183 TOTAL
EDM=2.23348e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.72625e+01 1.19843e+00 -8.82623e-03 5.85525e-04
2 Mean 1.31251e-02 3.45732e-02 -2.79206e-04 -1.83928e-02
3 Sigma 1.00533e+00 fixed
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=66.1585 FROM MIGRAD STATUS=CONVERGED 9 CALLS 193 TOTAL
EDM=5.80959e-08 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.72567e+01 1.21915e+00 -5.83475e-03 2.92244e-04
2 Mean 1.31320e-02 3.46189e-02 6.95633e-06 -9.25071e-03
3 Sigma 1.00550e+00 fixed
THE NEGATIVE MINOS ERROR OF PARAMETER 3 Sigma, IS -2.8627e-02
**************************************************************************
PARAMETER 3 Sigma RESTORED TO VARIABLE.
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 193 TOTAL
EDM=3.87435e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87988e-02 -2.86274e-02 2.90102e-02
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.62789 1.000 0.005 -0.628
2 0.00940 0.005 1.000 -0.009
3 0.62793 -0.628 -0.009 1.000
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 193 TOTAL
EDM=3.87435e-09 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.63132e+01 1.52598e+00 -1.51651e+00 1.53547e+00
2 Mean 1.30820e-02 3.47499e-02 -3.47674e-02 3.47613e-02
3 Sigma 1.03413e+00 2.87988e-02 -2.86274e-02 2.90102e-02
Do Fit 3
FCN=65.1586 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 192 TOTAL
EDM=1.12638e-08 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.63274e+01 1.52707e+00 -5.84796e-03 2.90187e-04
2 Mean 1.30805e-02 3.47498e-02 6.98658e-06 -9.24104e-03
3 Sigma 1.03373e+00 2.88100e-02 2.88100e-02 5.69847e-02
Do Fit 4
**********
** 72 **SET NOGRAD
**********
PARAMETER DEFINITIONS:
NO. NAME VALUE STEP SIZE LIMITS
1 Constant 4.57135e+01 1.52707e+00 no limits
2 Mean 2.76000e-02 3.47498e-02 no limits
3 Sigma 1.03818e+00 2.88100e-02 0.00000e+00 1.03818e+01
**********
** 73 **SET ERR 0.5
**********
**********
** 74 **SET PRINT 2
**********
**********
** 75 **SET STR 1
**********
NOW USING STRATEGY 1: TRY TO BALANCE SPEED AGAINST RELIABILITY
**********
** 76 **MIGRAD 1345 0.01
**********
FIRST CALL TO USER FUNCTION AT NEW START POINT, WITH IFLAG=4.
START MIGRAD MINIMIZATION. STRATEGY 1. CONVERGENCE WHEN EDM .LT. 1.00e-05
FCN=59.3789 FROM MIGRAD STATUS=INITIATE 12 CALLS 13 TOTAL
EDM= unknown STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.57135e+01 1.52707e+00 1.52707e+00 4.14792e+00
2 Mean 2.76000e-02 3.47498e-02 3.47498e-02 -1.06985e-03
3 Sigma 1.03818e+00 2.88100e-02 9.25099e-03 5.68723e+02
ERR DEF= 0.5
NO ERROR MATRIX
FCN=44.9407 FROM MIGRAD STATUS=PROGRESS 20 CALLS 21 TOTAL
EDM=3.09595 STRATEGY= 1 NO ERROR MATRIX
EXT PARAMETER CURRENT GUESS STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 4.06144e+01 1.52707e+00 -5.09910e+00 4.67864e-01
2 Mean 2.76007e-02 3.47498e-02 6.78358e-07 2.52993e-04
3 Sigma 1.00093e+00 2.88100e-02 -1.20564e-02 -1.73960e+02
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
MIGRAD WILL VERIFY CONVERGENCE AND ERROR MATRIX.
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
4.2257e-01 1.0000e+00 1.5774e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=43.3935 FROM MIGRAD STATUS=CONVERGED 59 CALLS 60 TOTAL
EDM=1.99612e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84270e+01 1.48837e+00 5.56282e-03 1.71484e-04
2 Mean 2.76010e-02 3.28310e-02 1.50144e-04 1.48716e-07
3 Sigma 1.03819e+00 2.32194e-02 2.78313e-05 -3.32425e-02
ERR DEF= 0.5
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=0.5
2.215e+00 -3.264e-06 -1.996e-02
-3.264e-06 1.078e-03 8.919e-08
-1.996e-02 8.919e-08 5.391e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57743 1.000 -0.000 -0.577
2 0.00012 -0.000 1.000 0.000
3 0.57743 -0.577 0.000 1.000
**********
** 77 **HESSE 1345
**********
START COVARIANCE MATRIX CALCULATION.
EIGENVALUES OF SECOND-DERIVATIVE MATRIX:
4.2258e-01 1.0000e+00 1.5774e+00
COVARIANCE MATRIX CALCULATED SUCCESSFULLY
FCN=43.3935 FROM HESSE STATUS=OK 16 CALLS 76 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER INTERNAL INTERNAL
NO. NAME VALUE ERROR STEP SIZE VALUE
1 Constant 3.84270e+01 1.48836e+00 1.11256e-03 3.84270e+01
2 Mean 2.76010e-02 3.28310e-02 3.00288e-05 2.76010e-02
3 Sigma 1.03819e+00 2.32192e-02 5.56625e-06 -9.27292e-01
ERR DEF= 0.5
EXTERNAL ERROR MATRIX. NDIM= 25 NPAR= 3 ERR DEF=0.5
2.215e+00 -9.527e-07 -1.996e-02
-9.527e-07 1.078e-03 2.679e-08
-1.996e-02 2.679e-08 5.391e-04
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
EXTERNAL ERROR MATRIX. NDIM= 3 NPAR= 3 ERR DEF=0.5
2.215e+00 -9.527e-07 -1.996e-02
-9.527e-07 1.078e-03 2.679e-08
-1.996e-02 2.679e-08 5.391e-04
**********
** 78 **MINOS 1345 1
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.843e+01 + 1.488e+00 = 3.992e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8792 FROM MIGRAD STATUS=CONVERGED 11 CALLS 88 TOTAL
EDM=2.29174e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.99154e+01 fixed
2 Mean 2.76008e-02 3.28310e-02 4.39668e-07 2.03689e-05
3 Sigma 1.02513e+00 1.84791e-02 1.01393e-04 1.11228e-01
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 98 TOTAL
EDM=3.15533e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.99370e+01 fixed
2 Mean 2.76008e-02 3.28310e-02 -1.77998e-08 6.30489e-06
3 Sigma 1.02494e+00 1.84782e-02 -6.36900e-05 1.28472e-04
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 1 Constant, IS 1.5103e+00
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 1 Constant
PARAMETER 1 SET TO 3.843e+01 + -1.488e+00 = 3.694e+01
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.9086 FROM MIGRAD STATUS=CONVERGED 10 CALLS 109 TOTAL
EDM=4.3745e-12 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.69387e+01 fixed
2 Mean 2.76012e-02 3.28310e-02 -3.73156e-07 -2.15404e-05
3 Sigma 1.05196e+00 1.94603e-02 1.03116e-04 -4.81209e-04
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 119 TOTAL
EDM=1.97221e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.69607e+01 fixed
2 Mean 2.76013e-02 3.28310e-02 2.45936e-08 5.11755e-06
3 Sigma 1.05175e+00 1.94591e-02 -6.67378e-05 9.73030e-05
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 1 Constant, IS -1.4667e+00
**************************************************************************
PARAMETER 1 Constant RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 43 CALLS 119 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02
3 Sigma 1.03819e+00 2.32192e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
**********
** 79 **MINOS 1345 2
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 2.760e-02 + 3.283e-02 = 6.043e-02
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 129 TOTAL
EDM=5.4717e-11 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84072e+01 1.48806e+00 -1.98033e-02 -5.65084e-06
2 Mean 6.04320e-02 fixed
3 Sigma 1.03872e+00 2.32205e-02 1.69597e-04 4.07171e-04
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 2 Mean, IS 3.2840e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 2 Mean
PARAMETER 2 SET TO 2.760e-02 + -3.283e-02 = -5.230e-03
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8932 FROM MIGRAD STATUS=CONVERGED 9 CALLS 139 TOTAL
EDM=4.81485e-14 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.0 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.84072e+01 1.48807e+00 -1.98229e-02 2.01086e-07
2 Mean -5.23004e-03 fixed
3 Sigma 1.03872e+00 2.32204e-02 1.69842e-04 4.88227e-05
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 2 Mean, IS -3.2840e-02
**************************************************************************
PARAMETER 2 Mean RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 20 CALLS 139 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
**********
** 80 **MINOS 1345 3
**********
DETERMINATION OF POSITIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.038e+00 + 2.322e-02 = 1.061e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8749 FROM MIGRAD STATUS=CONVERGED 9 CALLS 149 TOTAL
EDM=2.67322e-07 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 1.1 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.75871e+01 1.18830e+00 1.94273e-02 6.01721e-04
2 Mean 2.76016e-02 3.28310e-02 -5.32425e-07 2.11415e-05
3 Sigma 1.06141e+00 fixed
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8931 FROM MIGRAD STATUS=CONVERGED 9 CALLS 159 TOTAL
EDM=7.88895e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 0.6 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.75706e+01 1.18835e+00 -1.65074e-02 9.16244e-07
2 Mean 2.76016e-02 3.28310e-02 1.00852e-08 1.77639e-05
3 Sigma 1.06185e+00 fixed
ERR DEF= 0.5
THE POSITIVE MINOS ERROR OF PARAMETER 3 Sigma, IS 2.3670e-02
**************************************************************************
DETERMINATION OF NEGATIVE MINOS ERROR FOR PARAMETER 3 Sigma
PARAMETER 3 SET TO 1.038e+00 + -2.322e-02 = 1.015e+00
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.9131 FROM MIGRAD STATUS=CONVERGED 10 CALLS 170 TOTAL
EDM=1.18402e-11 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 2.4 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.93058e+01 1.24265e+00 1.93869e-02 -2.79605e-06
2 Mean 2.76007e-02 3.28310e-02 8.73391e-07 1.06563e-04
3 Sigma 1.01497e+00 fixed
ERR DEF= 0.5
MIGRAD MINIMIZATION HAS CONVERGED.
FCN=43.8931 FROM MIGRAD STATUS=CONVERGED 9 CALLS 180 TOTAL
EDM=8.41448e-13 STRATEGY= 0 ERROR MATRIX UNCERTAINTY 1.2 per cent
EXT PARAMETER STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 Constant 3.92887e+01 1.24269e+00 -1.71422e-02 6.19289e-07
2 Mean 2.76006e-02 3.28310e-02 -7.28225e-08 3.01031e-05
3 Sigma 1.01541e+00 fixed
ERR DEF= 0.5
THE NEGATIVE MINOS ERROR OF PARAMETER 3 Sigma, IS -2.2784e-02
**************************************************************************
PARAMETER 3 Sigma RESTORED TO VARIABLE.
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 180 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02 -2.27841e-02 2.36699e-02
ERR DEF= 0.5
PARAMETER CORRELATION COEFFICIENTS
NO. GLOBAL 1 2 3
1 0.57742 1.000 -0.000 -0.577
2 0.00004 -0.000 1.000 0.000
3 0.57742 -0.577 0.000 1.000
FCN=43.3935 FROM MINOS STATUS=SUCCESSFUL 41 CALLS 180 TOTAL
EDM=1.9961e-07 STRATEGY= 1 ERROR MATRIX ACCURATE
EXT PARAMETER PARABOLIC MINOS ERRORS
NO. NAME VALUE ERROR NEGATIVE POSITIVE
1 Constant 3.84270e+01 1.48836e+00 -1.46667e+00 1.51031e+00
2 Mean 2.76010e-02 3.28310e-02 -3.28395e-02 3.28395e-02
3 Sigma 1.03819e+00 2.32192e-02 -2.27841e-02 2.36699e-02
ERR DEF= 0.5
#include "TH1.h"
#include "TF1.h"
#include "TCanvas.h"
#include "TRandom3.h"
#include "TVirtualFitter.h"
#include "TPaveLabel.h"
#include "TStyle.h"
#include <iostream>
#include <string>
void testGausFit( std::string type = "Minuit2", int n = 1000) {
gRandom = new TRandom3();
TVirtualFitter::SetDefaultFitter(type.c_str() );
std::string name;
name = "h1_" + type;
TH1D * h1 = new TH1D(name.c_str(),"Chi2 Fit",100, -5, 5. );
name = "h2_" + type;
TH1D * h2 = new TH1D(name.c_str(),"Chi2 Fit with Minos Error",100, -5, 5. );
name = "h3_" + type;
TH1D * h3 = new TH1D(name.c_str(),"Chi2 Fit with Integral and Minos",100, -5, 5. );
name = "h4_" + type;
TH1D * h4 = new TH1D(name.c_str(),"Likelihood Fit with Minos Error",100, -5, 5. );
gStyle->SetOptStat(1111111);
gStyle->SetOptFit(1111111);
for (int i = 0; i < n; ++i) {
double x = gRandom->Gaus(0,1);
h1->Fill( x );
h2->Fill( x );
h3->Fill( x );
h4->Fill( x );
}
std::string cname = type + "Canvas" ;
std::string ctitle = type + " Gaussian Fit" ;
TCanvas *c1 = new TCanvas(cname.c_str(),cname.c_str(),10,10,900,900);
c1->Divide(2,2);
c1->cd(1);
cout << "\nDo Fit 1\n";
h1->Fit("gaus","Q");
h1->Draw();
c1->cd(2);
cout << "\nDo Fit 2\n";
h2->Fit("gaus","VE");
h2->Draw();
c1->cd(3);
cout << "\nDo Fit 3\n";
h3->Fit("gaus","IE");
h3->Draw();
c1->cd(4);
cout << "\nDo Fit 4\n";
h4->Fit("gaus","VLE");
h4->Draw();
}
void minuit2GausFit() {
int n = 1000;
testGausFit("Minuit2",n);
testGausFit("Fumili2",n);
}
Author
Lorenzo Moneta

Definition in file minuit2GausFit.C.