{"id":521,"date":"2017-09-24T06:37:52","date_gmt":"2017-09-24T06:37:52","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=521"},"modified":"2017-09-24T06:38:25","modified_gmt":"2017-09-24T06:38:25","slug":"gravitational-approach-density-estimation","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/","title":{"rendered":"A gravitational  approach to density estimation"},"content":{"rendered":"<p>It is shown that one can obtain a certain kernel density estimate at a given<br \/>\npoint <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-1b9fbfb207b6d17d74b33c6d8342a1a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> by assuming that the sample points and <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-1b9fbfb207b6d17d74b33c6d8342a1a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> are subject to the law of<br \/>\nuniversal gravitation or some variant thereof. Some distributional properties of<br \/>\nthe resulting kernel are discussed, including the asymptotic normality of a certain<br \/>\nrescaled kernel. A two-stage algorithm for the selection of an optimal bandwidth<br \/>\nis described. The proposed density estimation technique is applied to three widely<br \/>\nused data sets.<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/42n2_16.pdf\">Fulltext<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>It is shown that one can obtain a certain kernel density estimate at a given point by assuming that the sample points and are subject to the law of universal gravitation or some variant thereof. Some distributional properties of the resulting kernel are discussed, including the asymptotic normality of a certain rescaled kernel. A two-stage [&hellip;]<\/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":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A gravitational approach to density estimation - 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\/gravitational-approach-density-estimation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A gravitational approach to density estimation - JSR\" \/>\n<meta property=\"og:description\" content=\"It is shown that one can obtain a certain kernel density estimate at a given point by assuming that the sample points and are subject to the law of universal gravitation or some variant thereof. Some distributional properties of the resulting kernel are discussed, including the asymptotic normality of a certain rescaled kernel. A two-stage [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-24T06:38:25+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\/gravitational-approach-density-estimation\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/\",\"name\":\"A gravitational approach to density estimation - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-24T06:37:52+00:00\",\"dateModified\":\"2017-09-24T06:38:25+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/#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\":\"A gravitational approach to density estimation\"}]},{\"@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":"A gravitational approach to density estimation - 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\/gravitational-approach-density-estimation\/","og_locale":"en_US","og_type":"article","og_title":"A gravitational approach to density estimation - JSR","og_description":"It is shown that one can obtain a certain kernel density estimate at a given point by assuming that the sample points and are subject to the law of universal gravitation or some variant thereof. Some distributional properties of the resulting kernel are discussed, including the asymptotic normality of a certain rescaled kernel. A two-stage [&hellip;]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/","og_site_name":"JSR","article_modified_time":"2017-09-24T06:38:25+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/","name":"A gravitational approach to density estimation - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-24T06:37:52+00:00","dateModified":"2017-09-24T06:38:25+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/gravitational-approach-density-estimation\/#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":"A gravitational approach to density estimation"}]},{"@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\/521"}],"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=521"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/521\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=521"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=521"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=521"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=521"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}