pStudent¶

pStudent(*args)¶

Cumulative distribution function of a scalar Student distribution.

Parameters:

nufloat, $\nu > 0$

The $\nu$ parameter.

xfloat or sequence of float

Location.

tailbool

Tail flag.

Default value is False.

If True, the complementary CDF is computed.

Returns:

p: float or sequence of float: The CDF or the complementary CDF at x or at each $x[i]$ .

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
>>> cdf = ot.DistFunc.pStudent(2.5, 0.9)
>>> cdf = ot.DistFunc.pStudent(2.5, 0.9, True)

OpenTURNS