The information geometry of the 2-manifold of gamma probability density functions provides a framework in which pseudorandom number generators may be evaluated using a neighbourhood of the curve of exponential density functions. The process is illustrated using the pseudorandom number generator in Mathematica. This methodology may be useful to add to the current family of test procedures in real applications to finite sampling data.
@article{arxiv.0907.1835,
title = {Information geometry for testing pseudorandom number generators},
author = {C. T. J. Dodson},
journal= {arXiv preprint arXiv:0907.1835},
year = {2009}
}