{"id":218,"date":"2023-08-04T01:16:05","date_gmt":"2023-08-04T01:16:05","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bb%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%ac%e1%80%b8%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba\/"},"modified":"2023-08-04T01:16:05","modified_gmt":"2023-08-04T01:16:05","slug":"%e1%80%80%e1%80%bb%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%ac%e1%80%b8%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bb%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%ac%e1%80%b8%e1%80%99%e1%80%bb%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ad%e1%80%af%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba\/","title":{"rendered":"\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Student t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Student&#8217;s t distribution \u104f \u1002\u101b\u1015\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-t-de-student\"><\/span> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Student&#8217;s t distribution<\/strong> \u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1011\u1030\u1038\u101e\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a William Sealy Gosset \u1019\u103e \u1041\u1049\u1040\u1048 \u1001\u102f\u1014\u103e\u1005\u103a\u1010\u103d\u1004\u103a \u1000\u101c\u1031\u102c\u1004\u103a\u1021\u1019\u100a\u103a &#8220; \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038&#8221;  \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u102e\u1011\u103d\u1004\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/p>\n<p> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u1031\u1037\u101c\u102c\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1019\u103e \u1010\u1005\u103a\u101a\u1030\u1014\u1005\u103a\u1000\u102d\u102f \u1014\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u101b\u101b\u103e\u102d\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c <em>\u03bd=n-1<\/em> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1c805dc2d6ca050feb70dad99de53402_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\nu=n-1\\\\[2ex]X\\sim t_\\nu\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-t-de-student\"><\/span> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1002\u101b\u1015\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Student&#8217;s t distribution \u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f \u101a\u1001\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u102d\u1015\u103c\u102e\u104a \u104e\u1004\u103a\u1038\u104f\u1002\u101b\u1015\u103a\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u1016\u103c\u1004\u1037\u103a Student&#8217;s t distributions \u104f \u1014\u1019\u1030\u1014\u102c\u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u1000\u102d\u102f \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1000\u103d\u1004\u103a\u1038\u1000\u103d\u1004\u103a\u1038\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-t-des-etudiants.png\" alt=\"\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1002\u101b\u1015\u103a\" class=\"wp-image-4266\" width=\"700\" height=\"420\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Student&#8217;s t distribution \u104f \u1002\u101b\u1015\u103a\u1019\u103e\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u102f\u1010\u103a\u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">Student t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a 0 \u1010\u103d\u1004\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1000\u103b\u1017\u101f\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1011\u1000\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u101e\u100a\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u101e\u100a\u103a \u1015\u102d\u102f\u1000\u103b\u101a\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e \u1019\u103b\u102c\u1038\u101c\u1031\u101c\u1031\u104a \u104e\u1004\u103a\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1002\u101b\u1015\u103a\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u101e\u102d\u1015\u103a\u101e\u100a\u103a\u1038\u1006\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1010\u102d\u102f\u1038\u1015\u103d\u102c\u1038\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-t-etudiante-cumulative.png\" alt=\"Student's cumulative t \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1000\u103d\u1000\u103a\" class=\"wp-image-4267\" width=\"700\" height=\"420\" srcset=\"\" sizes=\"\"><\/figure>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4-<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038-t-\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\/\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1000\u102d\u102f<\/a> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-t-de-student\"><\/span> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Student&#8217;s t distribution \u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1006\u102f\u1036\u1038\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> Student t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1012\u102d\u102f\u1019\u102d\u1014\u103a\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1005\u1005\u103a\u1021\u1019\u103e\u1014\u103a\u1019\u103b\u102c\u1038 \u1015\u102b\u101d\u1004\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd8ca9914bdf447012a1a16f7950ce95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in (-\\infty, +\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u104a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a 0 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d4fed5eadcaa1162752aeedb7f8a0906_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim t_\\nu\\\\[2ex] E[X]=0 \\qquad \\text{para }\\nu>1\\end{array} &#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 55&#8243; width=&#8221; 190&#8243; style=&#8221; vertical-align: 0px;&#8221; ><\/p>\n<\/p>\n<ul>\n<li> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bfdcbc8a5f071a61e091b0ef6f686a16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim t_\\nu\\\\[2ex] Var(X)=\\cfrac{\\nu}{\\nu-2} \\qquad \\text{para }\\nu>2\\end{array} &#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 75&#8243; width=&#8221; 245&#8243; style=&#8221; vertical-align: 0px;&#8221; ><\/p>\n<\/p>\n<ul>\n<li> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1019\u1001\u103d\u1032\u1001\u103c\u102c\u1038\u1018\u1032 \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u103e\u1004\u1037\u103a \u1019\u102f\u1012\u103a\u101e\u100a\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038 0 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8d90790fce0c987648c0b30216c82214_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}Me=0\\\\[2ex]Mo=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Student t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u101e\u102d\u1015\u103a\u101e\u100a\u103a\u1038\u1006\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8c0f1e97a8e407e8b9e2b00ba93aee0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{\\Gamma((\\nu+1)\/2)} {\\sqrt{\\nu\\pi}\\,\\Gamma(\\nu\/2)} (1+x^2\/\\nu)^{-(\\nu+1)\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"339\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1010\u102d\u102f\u1038\u1015\u103d\u102c\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a-<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-da1e3bdf2d87c3a7dcc89c236958dcec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\frac{1}{2} + x \\Gamma \\left( \\frac{\\nu+1}{2} \\right) \\cdot\\frac{\\,_2F_1 \\left ( \\frac{1}{2},\\frac{\\nu+1}{2};\\frac{3}{2};-\\frac{x^2}{\\nu} \\right)}{\\sqrt{\\pi\\nu}\\,\\Gamma \\left(\\frac{\\nu}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"402\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<ul>\n<li> 3 \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1016\u103c\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u104a \u1021\u1001\u103b\u102d\u102f\u1038\u1019\u100a\u102e\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u100a\u102e\u101e\u1031\u102c\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6fea0ec5e37ef4db61fb44d6f5eba6fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=0\\qquad \\text{para }\\nu>3&#8243; title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 17&#8243; width=&#8221; 164&#8243; style=&#8221; vertical-align: -4px;&#8221; ><\/p>\n<\/p>\n<ul>\n<li> \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u101e\u100a\u103a \u101c\u1031\u1038\u1001\u102f\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000\u104a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e \u1021\u1014\u103e\u102f\u1010\u103a \u101c\u1031\u1038\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1001\u103c\u1031\u102c\u1000\u103a\u1001\u102f\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a kurtosis \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0335e705ad289732dd1be59dc8388dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\cfrac{6}{\\nu-4}\\qquad \\text{para }\\nu>4&#8243; title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 38&#8243; width=&#8221; 198&#8243; style=&#8221; vertical-align: -12px;&#8221; ><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-de-la-distribucion-t-de-student\"><\/span> Student&#8217;s t distribution \u104f \u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Student&#8217;s t distribution \u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1019\u103e\u1014\u103a\u1019\u103e\u102c\u104a \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a Student&#8217;s t-test \u1015\u1004\u103a \u101b\u103e\u102d\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1015\u103c\u102e\u1038\u104a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1021\u101c\u102c\u1038\u1010\u1030\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t test \u1000\u102d\u102f linear regression analysis \u1019\u103e\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u101e\u100a\u103a slope \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1015\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a Student&#8217;s t distribution \u104f applications \u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1021\u101b \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u101e\u1031\u102c data set \u1019\u103b\u102c\u1038\u104f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u102c\u1038\u1000\u102d\u102f\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 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\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Student&#8217;s t distribution \u104f \u1002\u101b\u1015\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b Student&#8217;s t distribution \u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a 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\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a William Sealy Gosset \u1019\u103e \u1041\u1049\u1040\u1048 \u1001\u102f\u1014\u103e\u1005\u103a\u1010\u103d\u1004\u103a \u1000\u101c\u1031\u102c\u1004\u103a\u1021\u1019\u100a\u103a &#8220; \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038&#8221; \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u102e\u1011\u103d\u1004\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1001\u103c\u1004\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u104f t \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f 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