{"id":340,"date":"2017-05-09T11:08:52","date_gmt":"2017-05-09T11:08:52","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=340"},"modified":"2017-05-09T11:08:59","modified_gmt":"2017-05-09T11:08:59","slug":"normal-convergence-criteria-sums-row-wise-independent-random-variables","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/","title":{"rendered":"On normal convergence criteria for sums of row-wise independent random variables"},"content":{"rendered":"<p>In this article we present new criteria for the asymptotic normality of sums of row-<br \/>\nwise independent random variables. Besides providing an alternate approach for<br \/>\ndemonstrating a sum of independent random variables is asymptotically normal,<br \/>\nour criteria provide new insight into the nature of asymptotic normality and the<br \/>\nLindeberg condition.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/44n2_6.pdf\">44n2_6<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this article we present new criteria for the asymptotic normality of sums of row- wise independent random variables. Besides providing an alternate approach for demonstrating a sum of independent random variables is asymptotically normal, our criteria provide new insight into the nature of asymptotic normality and the Lindeberg condition. &nbsp; 44n2_6<\/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":[10],"issuem_issue_categories":[],"issuem_issue_tags":[],"class_list":["post-340","article","type-article","status-publish","format-standard","hentry","issuem_issue-v44n2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>On normal convergence criteria for sums of row-wise independent random variables - 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\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On normal convergence criteria for sums of row-wise independent random variables - JSR\" \/>\n<meta property=\"og:description\" content=\"In this article we present new criteria for the asymptotic normality of sums of row- wise independent random variables. Besides providing an alternate approach for demonstrating a sum of independent random variables is asymptotically normal, our criteria provide new insight into the nature of asymptotic normality and the Lindeberg condition. &nbsp; 44n2_6\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-05-09T11:08:59+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\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/\",\"name\":\"On normal convergence criteria for sums of row-wise independent random variables - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-05-09T11:08:52+00:00\",\"dateModified\":\"2017-05-09T11:08:59+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/#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 normal convergence criteria for sums of row-wise independent random variables\"}]},{\"@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 normal convergence criteria for sums of row-wise independent random variables - 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\/normal-convergence-criteria-sums-row-wise-independent-random-variables\/","og_locale":"en_US","og_type":"article","og_title":"On normal convergence criteria for sums of row-wise independent random variables - JSR","og_description":"In this article we present new criteria for the asymptotic normality of sums of row- wise independent random variables. 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