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Difference between revisions of "cpp/numeric/random/gamma distribution"

From cppreference.com
< cpp‎ | numeric‎ | random
(integer values to floating-point values)
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For floating-point {{math|α}}, the value obtained is the sum of {{math|α}} independent exponentially distributed random variables, each of which has a mean of {{math|β}}
 
For floating-point {{math|α}}, the value obtained is the sum of {{math|α}} independent exponentially distributed random variables, each of which has a mean of {{math|β}}
 +
 +
===Template parameters===
 +
{{par begin}}
 +
{{cpp/numeric/random/param_list|RealType}}
 +
{{par end}}
  
 
===Member types===
 
===Member types===

Revision as of 02:13, 18 October 2014

 
 
 
 
 
Defined in header <random>
template< class RealType = double >
class gamma_distribution;
(since C++11)

Produces random positive floating-point values x, distributed according to probability density function:

P(x|α,β) =
e-x/β
βα · Γ(α)
· xα-1

where α is known as the shape parameter and β is known as the scale parameter.

For floating-point α, the value obtained is the sum of α independent exponentially distributed random variables, each of which has a mean of β

Contents

Template parameters

RealType - The result type generated by the generator. The effect is undefined if this is not one of float, double, or long double.

Member types

Member type Definition
result_type RealType
param_type the type of the parameter set, unspecified

Member functions

constructs new distribution
(public member function) [edit]
(C++11)
resets the internal state of the distribution
(public member function) [edit]
Generation
generates the next random number in the distribution
(public member function) [edit]
Characteristics
(C++11)
returns the distribution parameters
(public member function) [edit]
(C++11)
gets or sets the distribution parameter object
(public member function) [edit]
(C++11)
returns the minimum potentially generated value
(public member function) [edit]
(C++11)
returns the maximum potentially generated value
(public member function) [edit]

Non-member functions

(C++11)(C++11)(removed in C++20)
compares two distribution objects
(function) [edit]
performs stream input and output on pseudo-random number distribution
(function template) [edit]

Example

External links

Weisstein, Eric W. "Gamma Distribution." From MathWorld--A Wolfram Web Resource.