Difference between revisions of "cpp/numeric/random/gamma distribution"
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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}} | ||
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+ | ===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>
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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) =
· xα-1e-x/β βα · Γ(α)
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
(C++11) |
constructs new distribution (public member function) |
(C++11) |
resets the internal state of the distribution (public member function) |
Generation | |
(C++11) |
generates the next random number in the distribution (public member function) |
Characteristics | |
(C++11) |
returns the distribution parameters (public member function) |
(C++11) |
gets or sets the distribution parameter object (public member function) |
(C++11) |
returns the minimum potentially generated value (public member function) |
(C++11) |
returns the maximum potentially generated value (public member function) |
Non-member functions
(C++11)(C++11)(removed in C++20) |
compares two distribution objects (function) |
(C++11) |
performs stream input and output on pseudo-random number distribution (function template) |
Example
This section is incomplete Reason: no example |
External links
Weisstein, Eric W. "Gamma Distribution." From MathWorld--A Wolfram Web Resource.