jburkardt

ASA053\ Wishart Variate Generator {#asa053-wishart-variate-generator align=”center”} =========================


ASA053 is a C++ library which returns samples from the Wishart distribution.

As far as I can tell, there are two mistakes in the printed text of the algorithm; one involves incorrectly determining the number of degrees of freedom for the ChiSquared distribution; the other omits an absolute value sign when inverting the Wilson-Hilferty formula, so that square roots of negative values are occasionally requested. These mistakes have been corrected here.

Source code for many Applied Statistics Algorithms is available through STATLIB.

Licensing: {#licensing align=”center”}

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

ASA053 is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

WISHART, a C++ library which produces sample matrices from the Wishart or Bartlett distributions, useful for sampling random covariance matrices.

Reference: {#reference align=”center”}

  1. Stanley Sawyer,\ Wishart Distributions and Inverse-Wishart Sampling,\ Washington University,\ 30 April 2007, 12 pages.
  2. William Smith, Ronald Hocking,\ Algorithm AS 53, Wishart Variate Generator,\ Applied Statistics,\ Volume 21, Number 3, pages 341-345, 1972.

Original Source Code: {#original-source-code align=”center”}

Source Code: {#source-code align=”center”}

Examples and Tests: {#examples-and-tests align=”center”}

List of Routines: {#list-of-routines align=”center”}

You can go up one level to the C++ source codes.


Last revised on 16 April 2014.