rf204_extrangefit.C

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/// \file
/// \ingroup tutorial_roofit
/// \notebook -nodraw
///  'ADDITION AND CONVOLUTION' RooFit tutorial macro #204
///
///  Extended maximum likelihood fit with alternate range definition
///  for observed number of events.
///
/// \macro_output
/// \macro_code
/// \author 07/2008 - Wouter Verkerke 
 
 
#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooChebychev.h"
#include "RooAddPdf.h"
#include "RooExtendPdf.h"
#include "RooFitResult.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "RooPlot.h"
using namespace RooFit ;
 
 
void rf204_extrangefit()
{
 
 
   // S e t u p   c o m p o n e n t   p d f s 
   // ---------------------------------------
 
   // Declare observable x
   RooRealVar x("x","x",0,10) ;
 
   // Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and their parameters
   RooRealVar mean("mean","mean of gaussians",5) ;
   RooRealVar sigma1("sigma1","width of gaussians",0.5) ;
   RooRealVar sigma2("sigma2","width of gaussians",1) ;
 
   RooGaussian sig1("sig1","Signal component 1",x,mean,sigma1) ;  
   RooGaussian sig2("sig2","Signal component 2",x,mean,sigma2) ;  
 
   // Build Chebychev polynomial p.d.f.  
   RooRealVar a0("a0","a0",0.5,0.,1.) ;
   RooRealVar a1("a1","a1",0.2,0.,1.) ;
   RooChebychev bkg("bkg","Background",x,RooArgSet(a0,a1)) ;
 
   // Sum the signal components into a composite signal p.d.f.
   RooRealVar sig1frac("sig1frac","fraction of component 1 in signal",0.8,0.,1.) ;
   RooAddPdf sig("sig","Signal",RooArgList(sig1,sig2),sig1frac) ;
 
 
   // C o n s t r u c t   e x t e n d e d   c o m p s   wi t h   r a n g e   s p e c
   // ------------------------------------------------------------------------------
 
   // Define signal range in which events counts are to be defined
   x.setRange("signalRange",4,6) ;
 
   // Associated nsig/nbkg as expected number of events with sig/bkg _in_the_range_ "signalRange"
   RooRealVar nsig("nsig","number of signal events in signalRange",500,0.,10000) ;
   RooRealVar nbkg("nbkg","number of background events in signalRange",500,0,10000) ;
   RooExtendPdf esig("esig","extended signal p.d.f",sig,nsig,"signalRange") ;
   RooExtendPdf ebkg("ebkg","extended background p.d.f",bkg,nbkg,"signalRange") ;
 
 
   // S u m   e x t e n d e d   c o m p o n e n t s
   // ---------------------------------------------
 
   // Construct sum of two extended p.d.f. (no coefficients required)
   RooAddPdf  model("model","(g1+g2)+a",RooArgList(ebkg,esig)) ;
 
 
   // S a m p l e   d a t a ,   f i t   m o d e l
   // -------------------------------------------
 
   // Generate 1000 events from model so that nsig,nbkg come out to numbers <<500 in fit
   RooDataSet *data = model.generate(x,1000) ;
 
 
   // Perform unbinned extended ML fit to data
   RooFitResult* r = model.fitTo(*data,Extended(kTRUE),Save()) ;
   r->Print() ;
 
}