{"id":397,"date":"2017-05-12T11:45:26","date_gmt":"2017-05-12T11:45:26","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=397"},"modified":"2017-05-12T11:46:37","modified_gmt":"2017-05-12T11:46:37","slug":"find-norming-constants-maxima-folded-normally-distributed-variable","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/","title":{"rendered":"On how to find the norming constants for the maxima of a folded normally distributed variable"},"content":{"rendered":"

A general procedure when one is looking for a limiting distribution of \"X_n = is to first center \"X_n\" by subtracting \"c_n\" and then scale by \"d_n\" (Mood et al.,1974). This article is focused on finding the norming constants \"c_n\" and \"d_n\" for the maxima of
\nthe folded normal random variable \"X_n\", where \"X = |Z|\" , \"Z\sim N(0, 1)\" . We also show that
\nafter appropriate normalisation, \"X_n\" has a limiting distribution \"H(x) =\ exp(\exp(x))\",
\nwhich is the Gumbel distribution.<\/p>\n

46n1_3<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

A general procedure when one is looking for a limiting distribution of is to first center by subtracting and then scale by (Mood et al.,1974). This article is focused on finding the norming constants and for the maxima of the folded normal random variable , where , . We also show that after appropriate normalisation, […]<\/p>\n","protected":false},"author":2,"featured_media":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"issuem_issue":[7],"issuem_issue_categories":[],"issuem_issue_tags":[],"class_list":["post-397","article","type-article","status-publish","format-standard","hentry","issuem_issue-v46n1"],"yoast_head":"\nOn how to find the norming constants for the maxima of a folded normally distributed variable - JSR<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On how to find the norming constants for the maxima of a folded normally distributed variable - JSR\" \/>\n<meta property=\"og:description\" content=\"A general procedure when one is looking for a limiting distribution of is to first center by subtracting and then scale by (Mood et al.,1974). This article is focused on finding the norming constants and for the maxima of the folded normal random variable , where , . We also show that after appropriate normalisation, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-05-12T11:46:37+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/\",\"name\":\"On how to find the norming constants for the maxima of a folded normally distributed variable - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-05-12T11:45:26+00:00\",\"dateModified\":\"2017-05-12T11:46:37+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Articles\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/article\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"On how to find the norming constants for the maxima of a folded normally distributed variable\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/\",\"name\":\"JSR\",\"description\":\"Journal of Statistical Research\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/jsr.isrt.ac.bd\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"On how to find the norming constants for the maxima of a folded normally distributed variable - JSR","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/jsr.isrt.ac.bd\/article\/find-norming-constants-maxima-folded-normally-distributed-variable\/","og_locale":"en_US","og_type":"article","og_title":"On how to find the norming constants for the maxima of a folded normally distributed variable - JSR","og_description":"A general procedure when one is looking for a limiting distribution of is to first center by subtracting and then scale by (Mood et al.,1974). This article is focused on finding the norming constants and for the maxima of the folded normal random variable , where , . 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