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std::student_t_distribution

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Pseudo-random number generation
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student_t_distribution
(C++11)
Sampling distributions
Seed Sequences
(C++11)
C library
 
 
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
·
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

Member types

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

Member functions

Template:cpp/numeric/random/distribution/dcl list constructorTemplate:cpp/numeric/random/distribution/dcl list resetTemplate:cpp/numeric/random/distribution/dcl list operator()Template:cpp/numeric/random/student t distribution/dcl list nTemplate:cpp/numeric/random/distribution/dcl list paramTemplate:cpp/numeric/random/distribution/dcl list minTemplate:cpp/numeric/random/distribution/dcl list max
Generation
Characteristics

Non-member functions

Template:cpp/numeric/random/distribution/dcl list operator cmpTemplate:cpp/numeric/random/distribution/dcl list operator ltltgtgt

Example

External links

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