Difference between revisions of "cpp/numeric/random/student t distribution"
m (deg of freedoms = samples - 1) |
m (Text replace - "{{example cpp" to "{{example") |
||
| Line 41: | Line 41: | ||
===Example=== | ===Example=== | ||
| − | {{example | + | {{example |
| code= | | code= | ||
| output= | | output= | ||
Revision as of 18:11, 19 April 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 √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 |
Member types
Template:tdcl list begin Template:tdcl list hitem Template:tdcl list item Template:tdcl list item Template:tdcl list end
Member functions
Non-member functions
Example
| This section is incomplete Reason: no example |
External links
Weisstein, Eric W. "Student's t-Distribution." From MathWorld--A Wolfram Web Resource.
