naginterfaces.library.stat.pdf_​landau_​moment1

naginterfaces.library.stat.pdf_landau_moment1(x)[source]

pdf_landau_moment1 returns the value of the first moment of the Landau density function.

For full information please refer to the NAG Library document for g01pt

https://www.nag.com/numeric/nl/nagdoc_28.4/flhtml/g01/g01ptf.html

Parameters
xfloat

The argument of the function.

Returns
mom1float

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

Notes

pdf_landau_moment1 evaluates an approximation to the first 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_moment2() can be used.

References

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