{"id":784,"date":"2018-03-08T09:17:25","date_gmt":"2018-03-08T08:17:25","guid":{"rendered":"http:\/\/babel.isa.uma.es\/kipr\/?p=784"},"modified":"2018-07-13T09:19:12","modified_gmt":"2018-07-13T08:19:12","slug":"improving-the-estimation-of-the-offset-parameter-of-heavy-tailed-distributions-through-the-injection-of-noise","status":"publish","type":"post","link":"https:\/\/babel.isa.uma.es\/kipr\/?p=784","title":{"rendered":"Improving the estimation of the offset parameter of heavy-tailed distributions through the injection of noise"},"content":{"rendered":"<h4>Y. Pan, F. Duan, F. Chapeau-Blondeau and D. Abbott, <strong>Noise Enhancement in Robust Estimation of Location<\/strong>, IEEE Transactions on Signal Processing, vol. 66, no. 8, pp. 1953-1966, <a href=\"http:\/\/doi.org\/10.1109\/TSP.2018.2802463\" target=\"_blank\">DOI: 10.1109\/TSP.2018.2802463<\/a>.<\/h4>\n<blockquote><p>In this paper, we investigate the noise benefits to maximum likelihood type estimators (M-estimator) for the robust estimation of a location parameter. Two distinct noise benefits are shown to be accessible under these conditions. With symmetric heavy-tailed noise distributions, the asymptotic efficiency of the estimation can be enhanced by injecting extra noise into the M-estimators. With an asymmetric contaminated noise model having a convex cumulative distribution function, we demonstrate that addition of noise can reduce the maximum bias of the median estimator. These findings extend the analysis of stochastic resonance effects for noise-enhanced signal and information processing.<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Y. Pan, F. Duan, F. Chapeau-Blondeau and D. Abbott, Noise Enhancement in Robust Estimation of Location, IEEE Transactions on Signal <span class=\"ellipsis\">&hellip;<\/span> <span class=\"more-link-wrap\"><a href=\"https:\/\/babel.isa.uma.es\/kipr\/?p=784\" class=\"more-link\"><span>Read More &rarr;<\/span><\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[322,42],"class_list":["post-784","post","type-post","status-publish","format-standard","hentry","category-probability-and-statistics","tag-heavy-tailed-distributions","tag-probability-distribution-estimation"],"_links":{"self":[{"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/posts\/784"}],"collection":[{"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=784"}],"version-history":[{"count":1,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/posts\/784\/revisions"}],"predecessor-version":[{"id":785,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=\/wp\/v2\/posts\/784\/revisions\/785"}],"wp:attachment":[{"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/babel.isa.uma.es\/kipr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}