Evaluating the sampling distance to achieve independently and identically distributed data from generalized Hénon map

The paper analyzes, by original statistical, methods the minimum sampling distance that enables to extract statistically independent data sets from the generalized Hénon Map. For the statistical independence analysis, it is necessary to evaluate the entry moment of the chaotic system in the stationarity region. The statistical investigation relies on: the Smirnov test, a method of testing the statistical independence between two continuous random variables of unknown probability laws, a Chi-square test for a bivariate probability law and a Monte-Carlo analysis.