ROOT   6.08/07 Reference Guide
PdfFuncMathCore.h File Reference
This graph shows which files directly or indirectly include this file:

## Namespaces

ROOT
This namespace contains pre-defined functions to be used in conjuction with TExecutor::Map and TExecutor::MapReduce.

ROOT::Math

## Functions

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::binomial_pdf (unsigned int k, double p, unsigned int n)
Probability density function of the binomial 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::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 x0=0)
Crystal ball function. More...

double ROOT::Math::crystalball_pdf (double x, double alpha, double n, double sigma, double x0=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::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::landau_pdf (double x, double xi=1, double x0=0)
Probability density function of the Landau distribution:

$p(x) = \frac{1}{\xi} \phi (\lambda)$

with

$\phi(\lambda) = \frac{1}{2 \pi i}\int_{c-i\infty}^{c+i\infty} e^{\lambda s + s \log{s}} ds$

where $$\lambda = (x-x_0)/\xi$$. 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::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...