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Statistical functions

Probability density functions, cumulative distribution functions and their inverses (quantiles) for various statistical distributions (continuous and discrete).

Whenever possible the conventions followed are those of the CRC Concise Encyclopedia of Mathematics, Second Edition (or Mathworld). By convention the distributions are centered around 0, so for example in the case of a Gaussian there is no parameter mu. The user must calculate the shift themselves if they wish.

MathCore provides the majority of the probability density functions, of the cumulative distributions and of the quantiles (inverses of the cumulatives). Additional distributions are also provided by the MathMore library.

Collaboration diagram for Statistical functions:

Modules

 Probability Density Functions (PDF)
 Probability density functions of various statistical distributions (continuous and discrete).
 
 Cumulative Distribution Functions (CDF)
 Cumulative distribution functions of various distributions.
 
 Statistical functions from truncated distributions
 Statistical functions for the truncated distributions.
 
 Quantile Functions
 Inverse functions of the cumulative distribution functions and the inverse of the complement of the cumulative distribution functions for various distributions.
 

Namespaces

 ROOT
 Namespace for new ROOT classes and functions.
 

Classes

class  ROOT::Math::Vavilov
 Base class describing a Vavilov distribution. More...
 
class  ROOT::Math::VavilovAccurate
 Class describing a Vavilov distribution. More...
 
class  ROOT::Math::VavilovAccurateCdf
 Class describing the Vavilov cdf. More...
 
class  ROOT::Math::VavilovAccurateQuantile
 Class describing the Vavilov quantile function. More...
 
class  ROOT::Math::VavilovFast
 Class describing a Vavilov distribution. More...