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rf304_uncorrprod.py File Reference

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 rf304_uncorrprod
 

Detailed Description

View in nbviewer Open in SWAN Multidimensional models: simple uncorrelated multi-dimensional pdfs

pdf = gauss(x,mx,sx) * gauss(y,my,sy)

import ROOT
# Create component pdfs in x and y
# ----------------------------------------------------------------
# Create two pdfs gaussx(x,meanx,sigmax) gaussy(y,meany,sigmay) and its
# variables
x = ROOT.RooRealVar("x", "x", -5, 5)
y = ROOT.RooRealVar("y", "y", -5, 5)
meanx = ROOT.RooRealVar("mean1", "mean of gaussian x", 2)
meany = ROOT.RooRealVar("mean2", "mean of gaussian y", -2)
sigmax = ROOT.RooRealVar("sigmax", "width of gaussian x", 1)
sigmay = ROOT.RooRealVar("sigmay", "width of gaussian y", 5)
gaussx = ROOT.RooGaussian("gaussx", "gaussian PDF", x, meanx, sigmax)
gaussy = ROOT.RooGaussian("gaussy", "gaussian PDF", y, meany, sigmay)
# Construct uncorrelated product pdf
# -------------------------------------------------------------------
# Multiply gaussx and gaussy into a two-dimensional pdf gaussxy
gaussxy = ROOT.RooProdPdf(
"gaussxy", "gaussx*gaussy", ROOT.RooArgList(gaussx, gaussy))
# Sample pdf, plot projection on x and y
# ---------------------------------------------------------------------------
# Generate 10000 events in x and y from gaussxy
data = gaussxy.generate(ROOT.RooArgSet(x, y), 10000)
# Plot x distribution of data and projection of gaussxy x = Int(dy)
# gaussxy(x,y)
xframe = x.frame(ROOT.RooFit.Title("X projection of gauss(x)*gauss(y)"))
data.plotOn(xframe)
gaussxy.plotOn(xframe)
# Plot x distribution of data and projection of gaussxy y = Int(dx)
# gaussxy(x,y)
yframe = y.frame(ROOT.RooFit.Title("Y projection of gauss(x)*gauss(y)"))
data.plotOn(yframe)
gaussxy.plotOn(yframe)
# Make canvas and draw ROOT.RooPlots
c = ROOT.TCanvas("rf304_uncorrprod", "rf304_uncorrprod", 800, 400)
c.Divide(2)
c.cd(1)
ROOT.gPad.SetLeftMargin(0.15)
xframe.GetYaxis().SetTitleOffset(1.4)
xframe.Draw()
c.cd(2)
ROOT.gPad.SetLeftMargin(0.15)
yframe.GetYaxis().SetTitleOffset(1.4)
yframe.Draw()
c.SaveAs("rf304_uncorrprod.png")
Date
February 2018
Authors
Clemens Lange, Wouter Verkerke (C++ version)

Definition in file rf304_uncorrprod.py.