std::student_t_distribution

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std::student_t_distribution
Member functions student_t_distribution::student_t_distribution student_t_distribution::reset Generation student_t_distribution::operator() Characteristics student_t_distribution::n student_t_distribution::param student_t_distribution::min student_t_distribution::max Non-member functions operator== operator!= operator<< operator>>

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 1 Member types 2 Member functions 2.1 Generation 2.2 Characteristics 3 Non-member functions 4 Example 5 External links

[edit] Member types

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

[edit] Member functions

(constructor)	constructs new distribution (public member function)
reset	resets the internal state of the distribution (public member function)
Generation
operator()	generates the next random number in the distribution (public member function)
Characteristics
n	returns the n distribution parameter (degrees of freedom) (public member function)
param	gets or sets the distribution parameter object (public member function)
min	returns the minimum potentially generated value (public member function)
max	returns the maximum potentially generated value (public member function)

[edit] Non-member functions

operator== operator!=	compares two distribution objects (function)
operator<< operator>>	performs stream input and output on pseudo-random number distribution (function)

[edit] Example

This section is incomplete

[edit] External links

Weisstein, Eric W. "Student's t-Distribution." From MathWorld--A Wolfram Web Resource.