std::student_t_distribution
From cppreference.com
| Defined in header
<random>
|
||
| template< class RealType = double >
class student_t_distribution; |
(since C++11) | |
Produces random floating-point values x, distributed according to probability density function:
-
P(x|n) =
·1 √nπ
· ⎛Γ(
)n+1 2 Γ(
)n 2
⎜
⎝1+
⎞x2
n
⎟
⎠ -n+1 2
where n is known as the number of degrees of freedom. This distribution is used when estimating the mean of an unknown normally distributed value given n+1 independent measurements, each with additive errors of unknown standard deviation, as in physical measurements. Or, alternatively, when estimating the unknown mean of a normal distribution with unknown standard deviation, given n+1 samples.
Contents |
[edit] 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.
|
[edit] Member types
| Member type | Definition |
result_type
|
RealType |
param_type
|
the type of the parameter set, unspecified |
[edit] Member functions
| constructs new distribution (public member function) |
|
| resets the internal state of the distribution (public member function) |
|
Generation |
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| generates the next random number in the distribution (public member function) |
|
Characteristics |
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| returns the n distribution parameter (degrees of freedom) (public member function) |
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| gets or sets the distribution parameter object (public member function) |
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| returns the minimum potentially generated value (public member function) |
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| returns the maximum potentially generated value (public member function) |
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[edit] Non-member functions
| compares two distribution objects (function) |
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| performs stream input and output on pseudo-random number distribution (function template) |
[edit] Example
| This section is incomplete Reason: no example |
[edit] External links
Weisstein, Eric W. "Student's t-Distribution." From MathWorld--A Wolfram Web Resource.