ROOT   Reference Guide
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ProbFuncMathCore.h File Reference
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## Namespaces

namespace  ROOT
tbb::task_arena is an alias of tbb::interface7::task_arena, which doesn't allow to forward declare tbb::task_arena without forward declaring tbb::interface7

namespace  ROOT::Math

## Functions

double ROOT::Math::beta_cdf (double x, double a, double b)
Cumulative distribution function of the beta distribution Upper tail of the integral of the beta_pdf.

double ROOT::Math::beta_cdf_c (double x, double a, double b)
Complement of the cumulative distribution function of the beta distribution.

double ROOT::Math::binomial_cdf (unsigned int k, double p, unsigned int n)
Cumulative distribution function of the Binomial distribution Lower tail of the integral of the binomial_pdf.

double ROOT::Math::binomial_cdf_c (unsigned int k, double p, unsigned int n)
Complement of the cumulative distribution function of the Binomial distribution.

double ROOT::Math::breitwigner_cdf (double x, double gamma, double x0=0)
Cumulative distribution function (lower tail) of the Breit_Wigner distribution and it is similar (just a different parameter definition) to the Cauchy distribution (see cauchy_cdf )

double ROOT::Math::breitwigner_cdf_c (double x, double gamma, double x0=0)
Complement of the cumulative distribution function (upper tail) of the Breit_Wigner distribution and it is similar (just a different parameter definition) to the Cauchy distribution (see cauchy_cdf_c )

double ROOT::Math::cauchy_cdf (double x, double b, double x0=0)
Cumulative distribution function (lower tail) of the Cauchy distribution which is also Lorentzian distribution.

double ROOT::Math::cauchy_cdf_c (double x, double b, double x0=0)
Complement of the cumulative distribution function (upper tail) of the Cauchy distribution which is also Lorentzian distribution.

double ROOT::Math::chisquared_cdf (double x, double r, double x0=0)
Cumulative distribution function of the $$\chi^2$$ distribution with $$r$$ degrees of freedom (lower tail).

double ROOT::Math::chisquared_cdf_c (double x, double r, double x0=0)
Complement of the cumulative distribution function of the $$\chi^2$$ distribution with $$r$$ degrees of freedom (upper tail).

double ROOT::Math::crystalball_cdf (double x, double alpha, double n, double sigma, double x0=0)
Cumulative distribution for the Crystal Ball distribution function.

double ROOT::Math::crystalball_cdf_c (double x, double alpha, double n, double sigma, double x0=0)
Complement of the Cumulative distribution for the Crystal Ball distribution.

double ROOT::Math::crystalball_integral (double x, double alpha, double n, double sigma, double x0=0)
Integral of the not-normalized Crystal Ball function.

double ROOT::Math::exponential_cdf (double x, double lambda, double x0=0)
Cumulative distribution function of the exponential distribution (lower tail).

double ROOT::Math::exponential_cdf_c (double x, double lambda, double x0=0)
Complement of the cumulative distribution function of the exponential distribution (upper tail).

double ROOT::Math::fdistribution_cdf (double x, double n, double m, double x0=0)
Cumulative distribution function of the F-distribution (lower tail).

double ROOT::Math::fdistribution_cdf_c (double x, double n, double m, double x0=0)
Complement of the cumulative distribution function of the F-distribution (upper tail).

double ROOT::Math::gamma_cdf (double x, double alpha, double theta, double x0=0)
Cumulative distribution function of the gamma distribution (lower tail).

double ROOT::Math::gamma_cdf_c (double x, double alpha, double theta, double x0=0)
Complement of the cumulative distribution function of the gamma distribution (upper tail).

double ROOT::Math::gaussian_cdf (double x, double sigma=1, double x0=0)
Alternative name for same function.

double ROOT::Math::gaussian_cdf_c (double x, double sigma=1, double x0=0)
Alternative name for same function.

double ROOT::Math::landau_cdf (double x, double xi=1, double x0=0)
Cumulative distribution function of the Landau distribution (lower tail).

double ROOT::Math::landau_cdf_c (double x, double xi=1, double x0=0)
Complement of the distribution function of the Landau distribution (upper tail).

double ROOT::Math::landau_xm1 (double x, double xi=1, double x0=0)
First moment (mean) of the truncated Landau distribution.

double ROOT::Math::landau_xm2 (double x, double xi=1, double x0=0)
Second moment of the truncated Landau distribution.

double ROOT::Math::lognormal_cdf (double x, double m, double s, double x0=0)
Cumulative distribution function of the lognormal distribution (lower tail).

double ROOT::Math::lognormal_cdf_c (double x, double m, double s, double x0=0)
Complement of the cumulative distribution function of the lognormal distribution (upper tail).

double ROOT::Math::negative_binomial_cdf (unsigned int k, double p, double n)
Cumulative distribution function of the Negative Binomial distribution Lower tail of the integral of the negative_binomial_pdf.

double ROOT::Math::negative_binomial_cdf_c (unsigned int k, double p, double n)
Complement of the cumulative distribution function of the Negative Binomial distribution.

double ROOT::Math::normal_cdf (double x, double sigma=1, double x0=0)
Cumulative distribution function of the normal (Gaussian) distribution (lower tail).

double ROOT::Math::normal_cdf_c (double x, double sigma=1, double x0=0)
Complement of the cumulative distribution function of the normal (Gaussian) distribution (upper tail).

double ROOT::Math::poisson_cdf (unsigned int n, double mu)
Cumulative distribution function of the Poisson distribution Lower tail of the integral of the poisson_pdf.

double ROOT::Math::poisson_cdf_c (unsigned int n, double mu)
Complement of the cumulative distribution function of the Poisson distribution.

double ROOT::Math::tdistribution_cdf (double x, double r, double x0=0)
Cumulative distribution function of Student's t-distribution (lower tail).

double ROOT::Math::tdistribution_cdf_c (double x, double r, double x0=0)
Complement of the cumulative distribution function of Student's t-distribution (upper tail).

double ROOT::Math::uniform_cdf (double x, double a, double b, double x0=0)
Cumulative distribution function of the uniform (flat) distribution (lower tail).

double ROOT::Math::uniform_cdf_c (double x, double a, double b, double x0=0)
Complement of the cumulative distribution function of the uniform (flat) distribution (upper tail).