naginterfaces.library.stat.prob_​landau

naginterfaces.library.stat.prob_landau(x)[source]

prob_landau returns the value of the Landau distribution function .

For full information please refer to the NAG Library document for g01et

https://www.nag.com/numeric/nl/nagdoc_28.4/flhtml/g01/g01etf.html

Parameters
xfloat

The argument of the function.

Returns
pfloat

The value of the Landau distribution function .

Notes

prob_landau evaluates an approximation to the Landau distribution function given by

where is described in pdf_landau(), using piecewise approximation by rational functions. Further details can be found in Kölbig and Schorr (1984).

References

Kölbig, K S and Schorr, B, 1984, A program package for the Landau distribution, Comp. Phys. Comm. (31), 97–111