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Reference Guide
PdfFuncMathCore.h File Reference
#include "Math/Math.h"
#include "Math/SpecFuncMathCore.h"
#include <limits>
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Namespaces

 ROOT
 VSD Structures.
 
 ROOT::Math
 

Probability Density Functions from MathCore

Additional PDF's are provided in the MathMore library (see PDF functions from MathMore)

double ROOT::Math::beta_pdf (double x, double a, double b)
 Probability density function of the beta distribution. More...
 
double ROOT::Math::bigaussian_pdf (double x, double y, double sigmax=1, double sigmay=1, double rho=0, double x0=0, double y0=0)
 Probability density function of the bi-dimensional (Gaussian) distribution. More...
 
double ROOT::Math::binomial_pdf (unsigned int k, double p, unsigned int n)
 Probability density function of the binomial distribution. More...
 
double ROOT::Math::breitwigner_pdf (double x, double gamma, double x0=0)
 Probability density function of Breit-Wigner distribution, which is similar, just a different definition of the parameters, to the Cauchy distribution (see cauchy_pdf ) More...
 
double ROOT::Math::cauchy_pdf (double x, double b=1, double x0=0)
 Probability density function of the Cauchy distribution which is also called Lorentzian distribution. More...
 
double ROOT::Math::chisquared_pdf (double x, double r, double x0=0)
 Probability density function of the \(\chi^2\) distribution with \(r\) degrees of freedom. More...
 
double ROOT::Math::crystalball_function (double x, double alpha, double n, double sigma, double mean=0)
 Crystal ball function. More...
 
double ROOT::Math::crystalball_pdf (double x, double alpha, double n, double sigma, double mean=0)
 pdf definition of the crystal_ball which is defined only for n > 1 otherwise integral is diverging More...
 
double ROOT::Math::exponential_pdf (double x, double lambda, double x0=0)
 Probability density function of the exponential distribution. More...
 
double ROOT::Math::fdistribution_pdf (double x, double n, double m, double x0=0)
 Probability density function of the F-distribution. More...
 
double ROOT::Math::gamma_pdf (double x, double alpha, double theta, double x0=0)
 Probability density function of the gamma distribution. More...
 
double ROOT::Math::gaussian_pdf (double x, double sigma=1, double x0=0)
 Probability density function of the normal (Gaussian) distribution. More...
 
double ROOT::Math::landau_pdf (double x, double xi=1, double x0=0)
 Probability density function of the Landau distribution: More...
 
double ROOT::Math::lognormal_pdf (double x, double m, double s, double x0=0)
 Probability density function of the lognormal distribution. More...
 
double ROOT::Math::negative_binomial_pdf (unsigned int k, double p, double n)
 Probability density function of the negative binomial distribution. More...
 
double ROOT::Math::normal_pdf (double x, double sigma=1, double x0=0)
 Probability density function of the normal (Gaussian) distribution. More...
 
double ROOT::Math::poisson_pdf (unsigned int n, double mu)
 Probability density function of the Poisson distribution. More...
 
double ROOT::Math::tdistribution_pdf (double x, double r, double x0=0)
 Probability density function of Student's t-distribution. More...
 
double ROOT::Math::uniform_pdf (double x, double a, double b, double x0=0)
 Probability density function of the uniform (flat) distribution. More...