{"id":479,"date":"2017-09-24T05:06:36","date_gmt":"2017-09-24T05:06:36","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=479"},"modified":"2017-09-24T05:06:51","modified_gmt":"2017-09-24T05:06:51","slug":"linearity-truncated-bivariate-normal-distribution","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/","title":{"rendered":"On the linearity truncated bivariate normal distribution"},"content":{"rendered":"

Motivated by a problem in archaeological data analysis, we examine through
\nsimulation the effect of linear truncation on density estimation in the bivariate
\nnormal distribution. It is shown that the estimation procedure performs poorly
\nwhen the truncation line is parallel to the minor axis of the elliptical contours
\nof the distribution. The estimation also worsens with increasing correlation and
\nincreasing disparity in the values of the variances in the distribution. Reconstruction
\nof the bivariate normal distribution is best achieved when truncation is
\nparallel to the major axis and there is only about 10% of the data that is missing.<\/p>\n

 <\/p>\n

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

Motivated by a problem in archaeological data analysis, we examine through simulation the effect of linear truncation on density estimation in the bivariate normal distribution. It is shown that the estimation procedure performs poorly when the truncation line is parallel to the minor axis of the elliptical contours of the distribution. The estimation also worsens […]<\/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":[15],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nOn the linearity truncated bivariate normal distribution - 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\/linearity-truncated-bivariate-normal-distribution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On the linearity truncated bivariate normal distribution - JSR\" \/>\n<meta property=\"og:description\" content=\"Motivated by a problem in archaeological data analysis, we examine through simulation the effect of linear truncation on density estimation in the bivariate normal distribution. It is shown that the estimation procedure performs poorly when the truncation line is parallel to the minor axis of the elliptical contours of the distribution. The estimation also worsens […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-24T05:06:51+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/\",\"name\":\"On the linearity truncated bivariate normal distribution - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-24T05:06:36+00:00\",\"dateModified\":\"2017-09-24T05:06:51+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/#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 the linearity truncated bivariate normal distribution\"}]},{\"@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 the linearity truncated bivariate normal distribution - 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\/linearity-truncated-bivariate-normal-distribution\/","og_locale":"en_US","og_type":"article","og_title":"On the linearity truncated bivariate normal distribution - JSR","og_description":"Motivated by a problem in archaeological data analysis, we examine through simulation the effect of linear truncation on density estimation in the bivariate normal distribution. It is shown that the estimation procedure performs poorly when the truncation line is parallel to the minor axis of the elliptical contours of the distribution. The estimation also worsens […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/","og_site_name":"JSR","article_modified_time":"2017-09-24T05:06:51+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/","name":"On the linearity truncated bivariate normal distribution - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-24T05:06:36+00:00","dateModified":"2017-09-24T05:06:51+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/linearity-truncated-bivariate-normal-distribution\/#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 the linearity truncated bivariate normal distribution"}]},{"@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"}]}},"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/479"}],"collection":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article"}],"about":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/types\/article"}],"author":[{"embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/comments?post=479"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/479\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=479"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=479"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=479"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}