{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:45:54Z","timestamp":1791531954862,"version":"4.3.4"},"reference-count":0,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2001,11,1]],"date-time":"2001-11-01T00:00:00Z","timestamp":1004572800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001,11,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>It is shown that a class of tailed shift chaotic maps can be designed with substantial negative dependence, both linear and non-linear, and that extended Perron\u2013Frobenius theory gives their dependence structure. Using a simplified chaos-based communication system, it is shown that chaotic spreading sequences with low kurtosis and negative non-linear mean-centred quadratic autocorrelations can improve bit-received accuracy. This quadratic form of non-linear dependence is investigated and shown to be statistically sensible.<\/jats:p>","DOI":"10.1111\/1467-9868.00316","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:37:12Z","timestamp":1047497832000},"page":"843-853","source":"Crossref","is-referenced-by-count":15,"title":["Statistical Aspects of Chaotic Maps With Negative Dependence in a Communications Setting"],"prefix":"10.1093","volume":"63","author":[{"given":"A. J.","family":"Lawrance","sequence":"first","affiliation":[{"name":"University of Birmingham , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"N.","family":"Balakrishna","sequence":"additional","affiliation":[{"name":"Cochin University of Science and Technology , India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,4,21]]},"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00316","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/63\/4\/843\/49590783\/jrsssb_63_4_843.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/63\/4\/843\/49590783\/jrsssb_63_4_843.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T11:33:16Z","timestamp":1679484796000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/63\/4\/843\/7083397"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,11,1]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2002,4,21]]},"published-print":{"date-parts":[[2001,11,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00316","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2001,11]]},"published":{"date-parts":[[2001,11,1]]}}}