naginterfaces.library.stat.pdf_​landau_​moment2

naginterfaces.library.stat.pdf_landau_moment2(x)[source]

pdf_landau_moment2 returns the value of the second moment of the Landau density function.

For full information please refer to the NAG Library document for g01qt

https://www.nag.com/numeric/nl/nagdoc_28.4/flhtml/g01/g01qtf.html

Parameters
xfloat

The argument of the function.

Returns
mom2float

The value of the second moment of the Landau density function.

Notes

pdf_landau_moment2 evaluates an approximation to the second moment of the Landau density 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).

To obtain the value of , pdf_landau_moment1() can be used.

References

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