{"id":486,"date":"2017-09-24T05:23:38","date_gmt":"2017-09-24T05:23:38","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=486"},"modified":"2017-09-24T05:26:55","modified_gmt":"2017-09-24T05:26:55","slug":"statistical-theory-parameters-students-t-distribution","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/statistical-theory-parameters-students-t-distribution\/","title":{"rendered":"Statistical theory for the parameters with student’s t-distribution"},"content":{"rendered":"

Consider the location model \"\bm{Y} = \theta \bm{1}_n + \bm{\epsilon}\" where \"\epsilon\" is distributed \"n\"-dimensional Student’s t-distribution. We study the properties of the estimators of \"\theta\" and variance \"\sigma^2_\bm{\epsilon}\"\u00a0and compare them with normal theory estimators. In addition, we present some results which help to obtain risks of preliminary test related estimators.<\/p>\n

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Consider the location model where is distributed -dimensional Student’s t-distribution. We study the properties of the estimators of and variance \u00a0and compare them with normal theory estimators. In addition, we present some results which help to obtain risks of preliminary test related estimators. Fulltext<\/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":"\nStatistical theory for the parameters with student's t-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\/statistical-theory-parameters-students-t-distribution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistical theory for the parameters with student's t-distribution - JSR\" \/>\n<meta property=\"og:description\" content=\"Consider the location model where is distributed -dimensional Student’s t-distribution. We study the properties of the estimators of and variance \u00a0and compare them with normal theory estimators. In addition, we present some results which help to obtain risks of preliminary test related estimators. 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