Statistical Complexity of Chaotic Pseudorandom Number Generators

H. A. LARRONDO; L. DE MICCO; C. M. GONZÁLEZ; A. PLASTINO; O. A. ROSSO

Concepts and Recent Advances in Generalized Information Measures and Statistics

Betham Science Publishers

Año: 2013; p. 277 - 302

This chapter deals with the use of the Statistical Complexity Measure, as defined by López Ruiz, Mancini and Calbet [Phys. Lett. A 209 (1995) 321-326] and modified by Rosso and coworkers [P. W. Lamberti, M. T. Martín, A. Plastino, O. A. Rosso; Physica A 334 (2004) 119-131] to characterize pseudo random number generators (PRNG´s)obtained from chaotic dynamical systems. It is shown that two probability distribution functions are required for a proper characterization: the first one is based on the histogram and is used to characterize the uniformity of the values in the time series; the second one is based on the permutation procedure proposed by Bandt and Pompe [Phys. Rev. Lett. 88 (2002) 174102] and characterize the uniformity of patterns of several consecutive values of the time series.