| 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(
| ||
Γ(
|
· ⎛
⎜
⎝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.
std::student_t_distribution satisfies all requirements of RandomNumberDistribution.
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, see RandomNumberDistribution. |
Member functions
| constructs new distribution (public member function) | |
| resets the internal state of the distribution (public member function) | |
Generation | |
| operator()
| generates the next random number in the distribution (public member function) |
Characteristics | |
| returns the n distribution parameter (degrees of freedom) (public member function) | |
| gets or sets the distribution parameter object (public member function) | |
| returns the minimum potentially generated value (public member function) | |
| returns the maximum potentially generated value (public member function) | |
Non-member functions
| compares two distribution objects (function) | |
| performs stream input and output on pseudo-random number distribution (function template) |
Example
External links
Weisstein, Eric W. "Student's t-Distribution." From MathWorld--A Wolfram Web Resource.
Please login to continue.