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Reference Guide
rf110_normintegration.py File Reference

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 rf110_normintegration
 

Detailed Description

View in nbviewer Open in SWAN Basic functionality: examples on normalization and integration of pdfs, construction of cumulative distribution functions from monodimensional pdfs

from __future__ import print_function
import ROOT
# Set up model
# ---------------------
# Create observables x,y
x = ROOT.RooRealVar("x", "x", -10, 10)
# Create pdf gaussx(x,-2,3)
gx = ROOT.RooGaussian(
"gx", "gx", x, ROOT.RooFit.RooConst(-2), ROOT.RooFit.RooConst(3))
# Retrieve raw & normalized values of RooFit pdfs
# --------------------------------------------------------------------------------------------------
# Return 'raw' unnormalized value of gx
print("gx = ", gx.getVal())
# Return value of gx normalized over x in range [-10,10]
nset = ROOT.RooArgSet(x)
print("gx_Norm[x] = ", gx.getVal(nset))
# Create object representing integral over gx
# which is used to calculate gx_Norm[x] == gx / gx_Int[x]
igx = gx.createIntegral(ROOT.RooArgSet(x))
print("gx_Int[x] = ", igx.getVal())
# Integrate normalized pdf over subrange
# ----------------------------------------------------------------------------
# Define a range named "signal" in x from -5,5
x.setRange("signal", -5, 5)
# Create an integral of gx_Norm[x] over x in range "signal"
# ROOT.This is the fraction of of pdf gx_Norm[x] which is in the
# range named "signal"
xset = ROOT.RooArgSet(x)
igx_sig = gx.createIntegral(xset, ROOT.RooFit.NormSet(xset), ROOT.RooFit.Range("signal"))
print("gx_Int[x|signal]_Norm[x] = ", igx_sig.getVal())
# Construct cumulative distribution function from pdf
# -----------------------------------------------------------------------------------------------------
# Create the cumulative distribution function of gx
# i.e. calculate Int[-10,x] gx(x') dx'
gx_cdf = gx.createCdf(ROOT.RooArgSet(x))
# Plot cdf of gx versus x
frame = x.frame(ROOT.RooFit.Title("cdf of Gaussian pdf"))
gx_cdf.plotOn(frame)
# Draw plot on canvas
c = ROOT.TCanvas("rf110_normintegration",
"rf110_normintegration", 600, 600)
ROOT.gPad.SetLeftMargin(0.15)
frame.GetYaxis().SetTitleOffset(1.6)
frame.Draw()
c.SaveAs("rf110_normintegration.png")
Date
February 2018
Authors
Clemens Lange, Wouter Verkerke (C++ version)

Definition in file rf110_normintegration.py.