rf314_paramfitrange.py File Reference

Namespaces
namespace	rf314_paramfitrange

Detailed Description

Multidimensional models: working with parameterized ranges in a fit.

This an example of a fit with an acceptance that changes per-event

pdf = exp(-t/tau) with t[tmin,5]

where t and tmin are both observables in the dataset

 
import ROOT
 
 
# Define observables and decay pdf
# ---------------------------------------------------------------
 
# Declare observables
t = ROOT.RooRealVar("t", "t", 0, 5)
tmin = ROOT.RooRealVar("tmin", "tmin", 0, 0, 5)
 
# Make parameterized range in t : [tmin,5]
t.setRange(tmin, ROOT.RooFit.RooConst(t.getMax()))
 
# Make pdf
tau = ROOT.RooRealVar("tau", "tau", -1.54, -10, -0.1)
model = ROOT.RooExponential("model", "model", t, tau)
 
# Create input data
# ------------------------------------
 
# Generate complete dataset without acceptance cuts (for reference)
dall = model.generate({t}, 10000)
 
# Generate a (fake) prototype dataset for acceptance limit values
tmp = ROOT.RooGaussian("gmin", "gmin", tmin, ROOT.RooFit.RooConst(0), ROOT.RooFit.RooConst(0.5)).generate({tmin}, 5000)
 
# Generate dataset with t values that observe (t>tmin)
dacc = model.generate({t}, ProtoData=tmp)
 
# Fit pdf to data in acceptance region
# -----------------------------------------------------------------------
 
r = model.fitTo(dacc, Save=True)
 
# Plot fitted pdf on full and accepted data
# ---------------------------------------------------------------------------------
 
# Make plot frame, datasets and overlay model
frame = t.frame(Title="Fit to data with per-event acceptance")
dall.plotOn(frame, MarkerColor="r", LineColor="r")
model.plotOn(frame)
dacc.plotOn(frame)
 
# Print fit results to demonstrate absence of bias
r.Print("v")
 
c = ROOT.TCanvas("rf314_paramranges", "rf314_paramranges", 600, 600)
ROOT.gPad.SetLeftMargin(0.15)
frame.GetYaxis().SetTitleOffset(1.6)
frame.Draw()
 
c.SaveAs("rf314_paramranges.png")

Date

February 2018

Authors

Clemens Lange, Wouter Verkerke (C++ version)

Definition in file rf314_paramfitrange.py.