Lawrance, A. J.; Balakrishna, N. Statistical aspects of chaotic maps with negative dependence in a communications setting. (English) Zbl 0988.62072 J. R. Stat. Soc., Ser. B, Stat. Methodol. 63, No. 4, 843-853 (2001). Summary: It is shown that a class of tailed shift chaotic maps can be designed with substantial negative dependence, both linear and nonlinear, and that extended Perron-Frobenius theory gives their dependence structure. Using a simplified chaos-based communication system, it is shown that chaotic spreading sequences with low kurtosis and negative nonlinear mean-centred quadratic autocorrelations can improve bit-received accuracy. This quadratic form of nonlinear dependence is investigated and shown to be statistically sensible. Cited in 8 Documents MSC: 62P30 Applications of statistics in engineering and industry; control charts 62M99 Inference from stochastic processes 37H99 Random dynamical systems Keywords:chaos; communications; electronics; negative dependence; Perron-Frobenius theory; quadratic autocorrelations; shift maps PDFBibTeX XMLCite \textit{A. J. Lawrance} and \textit{N. Balakrishna}, J. R. Stat. Soc., Ser. B, Stat. Methodol. 63, No. 4, 843--853 (2001; Zbl 0988.62072) Full Text: DOI