ROOT Statistics Classes

TFeldmanCousins

Calculate the CL upper limit using the Feldman-Cousins method as described in PRD V57 #7, p3873-3889

TFractionFitter

Fits MC fractions to data histogram (a la HMCMLL, R. Barlow and C. Beeston, Comp. Phys. Comm. 77 (1993) 219-228). Takes into account both data and Monte Carlo statistical uncertainties through a likelihood fit using Poisson statistics; however, the template (MC) predictions are also varied within statistics, leading to additional contributions to the overall likelihood. This leads to many more fit parameters (one per bin per template), but the minimisation with respect to these additional parameters is done analytically rather than introducing them as formal fit parameters. Some special care needs to be taken in the case of bins with zero content.

TLimit

Algorithm to compute 95% C.L. limits using the Likelihood ratio semi-Bayesian method (CLs method; see e.g. T. Junk, NIM A434, p. 435-443, 1999). It takes signal, background and data histograms wrapped in a TLimitDataSource as input and runs a set of Monte Carlo experiments in order to compute the limits. If needed, inputs are fluctuated according to systematics.

TMinuit

General minimisation

TMultiDimFit

Multi-dim parametrisation and fitting

TMultiLayerPerceptron

A Neural Network class

TPrincipal

Principal Component Analysis

TRolke

Computes confidence intervals for the rate of a Poisson in the presence of background and efficiency with a fully frequentist treatment of the uncertainties in the efficiency and background estimate using the profile likelihood method. The signal is always assumed to be Poisson; background may be Poission, Gaussian, or user-supplied; efficiency may be Binomial, Gaussian, or user-supplied. See publication at Nucl.Instrum.Meth.A551:493-503,2005.

TSpectrum

1- and 2-dim background estimation, smoothing, deconvolution, peak search and fitting, and orthogonal transformations

 

You can also look at:

TH1 base class for the histograming package

TTree general ntuple manipulation and analysis system

TMatrixDBase Linear algebra package

TMath small utility algorithms.