qStudent¶

qStudent(*args)¶

Quantile of a scalar Student distribution.

Parameters:

nufloat, $\nu > 0$

The $\nu$ parameter.

pfloat, in $[0,1]$

The probability.

tailbool

Tail flag.

Default value is False.

If True, the quantile associated to $(1-p)$ is computed.

Returns:

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
>>> q = ot.DistFunc.qStudent(2.0, 0.95)

OpenTURNS