{"id":2580,"date":"2024-11-17T19:00:02","date_gmt":"2024-11-17T11:00:02","guid":{"rendered":"https:\/\/changjinyuan.com\/?p=2580"},"modified":"2024-12-28T23:10:53","modified_gmt":"2024-12-28T15:10:53","slug":"%e5%91%a8%e7%8e%ae-peng-z-2017-asymptotic-behavior-of-bivariate-gaussian-powered-extremes-journal-of-mathematical-analysis-and-applications-vol-455-pp-923-938","status":"publish","type":"post","link":"https:\/\/changjinyuan.com\/index.php\/publications\/publications-all\/2580\/","title":{"rendered":"\u5468\u73ae &#038; Peng, Z. (2017). Asymptotic behavior of bivariate Gaussian powered extremes. Journal of Mathematical Analysis and Applications, 455, 923-938."},"content":{"rendered":"<p>In this paper, joint asymptotics of powered maxima for a triangular array of bivariate Gaussian random vectors are considered. Under the H\u00fcsler\u2013Reiss condition, limiting distributions of powered maxima are derived. Furthermore, the second-order expansions of the joint distributions of powered maxima are established under the refined H\u00fcsler\u2013Reiss condition.<\/p>\r\n\r\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" style=\"width: 100%; height: 600px;\" data=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/\u5468\u73ae-Peng-Z.-2017.-Asymptotic-behavior-of-bivariate-Gaussian-powered-extremes-Journal-of-Mathematical-Analysis-and-Applications-Vol.-455-pp.pdf\" type=\"application\/pdf\" width=\"300\" height=\"150\" aria-label=\"\u5d4c\u5165 &lt;strong&gt;&lt;mark style=&quot;background-color:rgba(0, 0, 0, 0)&quot; class=&quot;has-inline-color has-vivid-cyan-blue-color&quot;&gt;Asymptotic behavior of bivariate Gaussian powered extremes, Journal of Mathematical Analysis and Applications, Vol. 455, pp.pdf&lt;\/mark&gt;&lt;\/strong&gt;\"><\/object><a id=\"wp-block-file--media-6a294fab-af67-4035-9a98-2fc82681d6a0\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/\u5468\u73ae-Peng-Z.-2017.-Asymptotic-behavior-of-bivariate-Gaussian-powered-extremes-Journal-of-Mathematical-Analysis-and-Applications-Vol.-455-pp.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark class=\"has-inline-color has-vivid-cyan-blue-color\" style=\"background-color: rgba(0, 0, 0, 0);\">Asymptotic behavior of bivariate Gaussian powered extremes, Journal of Mathematical Analysis and Applications, Vol. 455, pp.pdf<\/mark><\/strong><\/a><a class=\"wp-block-file__button wp-element-button\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/\u5468\u73ae-Peng-Z.-2017.-Asymptotic-behavior-of-bivariate-Gaussian-powered-extremes-Journal-of-Mathematical-Analysis-and-Applications-Vol.-455-pp.pdf\" download=\"\" aria-describedby=\"wp-block-file--media-6a294fab-af67-4035-9a98-2fc82681d6a0\">\u4e0b\u8f7d<\/a><\/div>\r\n","protected":false},"excerpt":{"rendered":"<p>In this paper, joint asymptotics of powered maxima for a triangular array of bivariate Gaussian random vectors are considered. Under the H\u00fcsler\u2013Reiss condition, limiting distributions of powered maxima are derived. Furthermore, the second-order expansions of the joint distributions of powered maxima are established under the refined H\u00fcsler\u2013Reiss condition.<\/p>\n","protected":false},"author":1,"featured_media":2754,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[15],"tags":[],"class_list":["post-2580","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications-all"],"acf":[],"lang":"cn","translations":{"cn":2580,"en":2757},"pll_sync_post":[],"_links":{"self":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/comments?post=2580"}],"version-history":[{"count":8,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2580\/revisions"}],"predecessor-version":[{"id":3934,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2580\/revisions\/3934"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/media\/2754"}],"wp:attachment":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/media?parent=2580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/categories?post=2580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/tags?post=2580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}