naginterfaces.library.stat.pdf_​landau

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

pdf_landau returns the value of the Landau density function .

For full information please refer to the NAG Library document for g01mt

https://www.nag.com/numeric/nl/nagdoc_28.4/flhtml/g01/g01mtf.html

Parameters
xfloat

The argument of the function.

Returns
pdffloat

The value of the Landau density function .

Notes

pdf_landau evaluates an approximation to the Landau density function given by

where is an arbitrary real constant, using piecewise approximation by rational functions. Further details can be found in Kölbig and Schorr (1984).

To obtain the value of , pdf_landau_deriv() can be used.

References

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