Intensive statistical complexity measure of pseudorandom number generators

H. A. LARRONDO; C. M. GONZALEZ; M. T. MARTIN; A. PLASTINO; O. A. ROSSO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier Science

Año: 2005 vol. 356 p. 133 - 138

0378-4371

A Statistical Complexity measure has been recently proposedto quantify the performance of chaotic Pseudorandom number generators (PRNG) (Physica A 354 (2005) 281). Here we revisit this quantifier and introduce two important improvements: (i) consideration of an intensive statistical complexity (Physica A 334 (2004) 119), and(ii) following the prescription of Band andPompe (Phys. Rev. Lett. 88 (2002) 174102-1) in evaluating the probability distribution associated with the PRNG. The ensuing new measure is applied to a very welltested PRNG advancedby Marsaglia.