normalDist

Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)

Author: Anna Kreshuk
This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Wednesday, August 17, 2022 at 09:34 AM.

In [1]:
TF1 *pdfunc  = new TF1("pdf","ROOT::Math::normal_pdf(x, [0],[1])",-5,5);
TF1 *cdfunc  = new TF1("cdf","ROOT::Math::normal_cdf(x, [0],[1])",-5,5);
TF1 *ccdfunc = new TF1("cdf_c","ROOT::Math::normal_cdf_c(x, [0])",-5,5);
TF1 *qfunc   = new TF1("quantile","ROOT::Math::normal_quantile(x, [0])",0,1);
TF1 *cqfunc  = new TF1("quantile_c","ROOT::Math::normal_quantile_c(x, [0])",0,1);

pdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero
pdfunc->SetTitle("");
pdfunc->SetLineColor(kBlue);

pdfunc->GetXaxis()->SetLabelSize(0.06);
pdfunc->GetXaxis()->SetTitle("x");
pdfunc->GetXaxis()->SetTitleSize(0.07);
pdfunc->GetXaxis()->SetTitleOffset(0.55);
pdfunc->GetYaxis()->SetLabelSize(0.06);

cdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero
cdfunc->SetTitle("");
cdfunc->SetLineColor(kRed);

cdfunc->GetXaxis()->SetLabelSize(0.06);
cdfunc->GetXaxis()->SetTitle("x");
cdfunc->GetXaxis()->SetTitleSize(0.07);
cdfunc->GetXaxis()->SetTitleOffset(0.55);

cdfunc->GetYaxis()->SetLabelSize(0.06);
cdfunc->GetYaxis()->SetTitle("p");
cdfunc->GetYaxis()->SetTitleSize(0.07);
cdfunc->GetYaxis()->SetTitleOffset(0.55);

ccdfunc->SetParameters(1.0,0.0);  // set sigma to 1 and mean to zero
ccdfunc->SetTitle("");
ccdfunc->SetLineColor(kGreen);

qfunc->SetParameter(0, 1.0);  // set sigma to 1
qfunc->SetTitle("");
qfunc->SetLineColor(kRed);
qfunc->SetNpx(1000); // to get more precision for p close to 0 or 1

qfunc->GetXaxis()->SetLabelSize(0.06);
qfunc->GetXaxis()->SetTitle("p");
qfunc->GetYaxis()->SetLabelSize(0.06);
qfunc->GetXaxis()->SetTitleSize(0.07);
qfunc->GetXaxis()->SetTitleOffset(0.55);
qfunc->GetYaxis()->SetTitle("x");
qfunc->GetYaxis()->SetTitleSize(0.07);
qfunc->GetYaxis()->SetTitleOffset(0.55);

cqfunc->SetParameter(0, 1.0);  // set sigma to 1
cqfunc->SetTitle("");
cqfunc->SetLineColor(kGreen);
cqfunc->SetNpx(1000);

TCanvas * c1 = new TCanvas("c1","Normal Distributions",100,10,600,800);

c1->Divide(1,3);
c1->cd(1);

pdfunc->Draw();
TLegend *legend1 = new TLegend(0.583893,0.601973,0.885221,0.854151);
legend1->AddEntry(pdfunc,"normal_pdf","l");
legend1->Draw();

c1->cd(2);
cdfunc->Draw();
ccdfunc->Draw("same");
TLegend *legend2 = new TLegend(0.585605,0.462794,0.886933,0.710837);
legend2->AddEntry(cdfunc,"normal_cdf","l");
legend2->AddEntry(ccdfunc,"normal_cdf_c","l");
legend2->Draw();

c1->cd(3);
qfunc->Draw();
cqfunc->Draw("same");
TLegend *legend3 = new TLegend(0.315094,0.633668,0.695179,0.881711);
legend3->AddEntry(qfunc,"normal_quantile","l");
legend3->AddEntry(cqfunc,"normal_quantile_c","l");
legend3->Draw();

Draw all canvases

In [2]:
gROOT->GetListOfCanvases()->Draw()