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Reference Guide
rf703_effpdfprod.C File Reference

Detailed Description

View in nbviewer Open in SWAN 'SPECIAL PDFS' RooFit tutorial macro #703

Using a product of an (acceptance) efficiency and a p.d.f as p.d.f.



Processing /mnt/build/workspace/root-makedoc-v608/rootspi/rdoc/src/v6-08-00-patches/tutorials/roofit/rf703_effpdfprod.C...
#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooConstVar.h"
#include "RooExponential.h"
#include "RooEffProd.h"
#include "RooFormulaVar.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "RooPlot.h"
using namespace RooFit ;
void rf703_effpdfprod()
{
// D e f i n e o b s e r v a b l e s a n d d e c a y p d f
// ---------------------------------------------------------------
// Declare observables
RooRealVar t("t","t",0,5) ;
// Make pdf
RooRealVar tau("tau","tau",-1.54,-4,-0.1) ;
RooExponential model("model","model",t,tau) ;
// D e f i n e e f f i c i e n c y f u n c t i o n
// ---------------------------------------------------
// Use error function to simulate turn-on slope
RooFormulaVar eff("eff","0.5*(TMath::Erf((t-1)/0.5)+1)",t) ;
// D e f i n e d e c a y p d f w i t h e f f i c i e n c y
// ---------------------------------------------------------------
// Multiply pdf(t) with efficiency in t
RooEffProd modelEff("modelEff","model with efficiency",model,eff) ;
// P l o t e f f i c i e n c y , p d f
// ----------------------------------------
RooPlot* frame1 = t.frame(Title("Efficiency")) ;
eff.plotOn(frame1,LineColor(kRed)) ;
RooPlot* frame2 = t.frame(Title("Pdf with and without efficiency")) ;
model.plotOn(frame2,LineStyle(kDashed)) ;
modelEff.plotOn(frame2) ;
// G e n e r a t e t o y d a t a , f i t m o d e l E f f t o d a t a
// ------------------------------------------------------------------------------
// Generate events. If the input pdf has an internal generator, the internal generator
// is used and an accept/reject sampling on the efficiency is applied.
RooDataSet* data = modelEff.generate(t,10000) ;
// Fit pdf. The normalization integral is calculated numerically.
modelEff.fitTo(*data) ;
// Plot generated data and overlay fitted pdf
RooPlot* frame3 = t.frame(Title("Fitted pdf with efficiency")) ;
data->plotOn(frame3) ;
modelEff.plotOn(frame3) ;
TCanvas* c = new TCanvas("rf703_effpdfprod","rf703_effpdfprod",1200,400) ;
c->Divide(3) ;
c->cd(1) ; gPad->SetLeftMargin(0.15) ; frame1->GetYaxis()->SetTitleOffset(1.4) ; frame1->Draw() ;
c->cd(2) ; gPad->SetLeftMargin(0.15) ; frame2->GetYaxis()->SetTitleOffset(1.6) ; frame2->Draw() ;
c->cd(3) ; gPad->SetLeftMargin(0.15) ; frame3->GetYaxis()->SetTitleOffset(1.6) ; frame3->Draw() ;
}
Author
07/2008 - Wouter Verkerke

Definition in file rf703_effpdfprod.C.