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Difference between revisions of "cpp/numeric/random/student t distribution"

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Revision as of 09:40, 10 February 2012

Template:cpp/numeric/random/student t distribution/sidebar

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 sample measurements, each with additive errors of unknown standard deviation, as in physical measurements.

Contents

Member types

Template:tdcl list begin Template:tdcl list hitem Template:tdcl list item Template:tdcl list item Template:tdcl list end

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

Template:example cpp

External links

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