Title :
Evaluating the sampling distance to achieve independently and identically distributed data from generalized Hénon map
Author :
Hodea, Octavian ; Vlad, Adriana ; Datcu, Octaviana
Author_Institution :
Fac. of Electron., Politeh. Univ. of Bucharest, Bucharest, Romania
fDate :
June 30 2011-July 1 2011
Abstract :
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.
Keywords :
Monte Carlo methods; chaos; discrete time systems; sampling methods; Chi-square test; Monte-Carlo analysis; Smirnov test; bivariate probability law; chaotic system; distributed data; entry moment; generalized Henon map; probability laws; sampling distance; statistical independence analysis; statistical independence testing; statistically independent data set extraction; Distributed databases; Monte Carlo methods; Random processes; Random variables; Trajectory; Transient analysis;
Conference_Titel :
Signals, Circuits and Systems (ISSCS), 2011 10th International Symposium on
Conference_Location :
lasi
Print_ISBN :
978-1-61284-944-7
DOI :
10.1109/ISSCS.2011.5978665
