rStudent¶

rStudent(*args)¶

Realization of a scalar Student distribution.

Parameters:

nufloat, $\nu > 0$

The $\nu$ parameter.

sizeint

The number of realizations (optional).

Default value is 1.

Returns:

realizationfloat or a sequence of float: The realizations of the distribution.

Notes

The probability density function is defined as:

$p(x) = \dfrac{1}{\sqrt{\nu}B(1/2, \nu/2)} \left(1+ \dfrac{x^2}{\nu}\right)^{-\dfrac{\nu+1}{2}} \quad x \in \Rset$

with $\nu > 0$ .

Examples

>>> import openturns as ot
>>> ot.RandomGenerator.SetSeed(0)
>>> r = ot.DistFunc.rStudent(2.5)
>>> r = ot.DistFunc.rStudent(2.5, 10)

OpenTURNS