{"id":223,"date":"2023-08-03T23:58:33","date_gmt":"2023-08-03T23:58:33","guid":{"rendered":"https:\/\/statorials.org\/my\/gamma-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/"},"modified":"2023-08-03T23:58:33","modified_gmt":"2023-08-03T23:58:33","slug":"gamma-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/gamma-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc%e1%80%b0%e1%80%b8%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/","title":{"rendered":"Gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1019\u103e\u102c \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\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u104a \u104e\u1004\u103a\u1038\u104f\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1002\u101b\u1015\u103a\u1016\u1005\u103a\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-gamma\"><\/span> \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> \u03b1 \u1014\u103e\u1004\u1037\u103a \u03bb \u1010\u102d\u102f\u1037\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u101b\u1015\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u1000\u103a\u1010\u102d\u102f\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u1030\u1010\u100a\u103a\u101e\u100a\u103a- \u03b1 \u101e\u100a\u103a \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a \u1018\u1031\u102c\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u03bb \u101e\u100a\u103a \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u103a\u1039\u1000\u1031\u1010\u101e\u100a\u103a \u1002\u101b\u102d\u1005\u102c\u101c\u102f\u1036\u1038 \u0393 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u1015\u1014\u103a\u1038 variable \u101e\u100a\u103a gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101b\u1031\u1038\u101e\u102c\u1038\u1011\u102c\u1038\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-1b0ab2e724ffd74455d0907b39f4a598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\Gamma(\\alpha,\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1018\u1031\u102c\u1004\u103a k = \u03b1 \u1014\u103e\u1004\u1037\u103a \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1005\u1000\u1031\u1038 \u1018\u1031\u102c\u1004\u103a \u03b8 = 1\/\u03bb \u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1000\u102d\u1005\u1039\u1005\u101b\u1015\u103a\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a\u104a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u1037\u103a \u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1002\u101b\u1015\u103a\u1016\u1005\u103a\u104f \u1018\u101a\u103a\u1018\u1000\u103a\u1001\u103c\u1019\u103a\u1038\u101b\u103e\u102d \u1012\u1031\u1010\u102c\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1019\u102d\u102f\u1005\u1030\u1038\u1005\u102d\u102f\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1005\u1031\u101b\u1014\u103a \u100a\u102c\u1018\u1000\u103a\u1019\u103e\u1005\u1031\u102c\u1004\u103a\u1038\u1014\u1031\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1005\u1036\u1011\u102f\u1010\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u103b\u103e\u1015\u103a\u1005\u1005\u103a\u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u101a\u1030\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-gamma\"><\/span> Gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f \u1015\u102f\u1036\u1000\u103c\u1019\u103a\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1002\u101b\u1015\u103a\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f\u101d\u102d\u101e\u1031\u101e\u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a\u1019\u1030\u1010\u100a\u103a\u101e\u100a\u103a\u104b \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u1000\u1031\u1038\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u101e\u102d\u1015\u103a\u101e\u100a\u103a\u1038\u1006\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\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\/trace-de-distribution-gamma.png\" alt=\"gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038\" class=\"wp-image-4536\" width=\"648\" height=\"388\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1005\u102f\u1005\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1002\u101b\u1015\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\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-gamma-probabilite-cumulative.png\" alt=\"Gamm \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1005\u102f\u1005\u100a\u103a\u1038\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\u104f \u1002\u101b\u1015\u103a\" class=\"wp-image-4537\" width=\"648\" height=\"388\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-gamma\"><\/span> \u1002\u1019\u103a\u1019\u102c\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> \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul>\n<li> gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1002\u101b\u1015\u103a\u1000\u102d\u102f \u104e\u1004\u103a\u1038\u104f \u101c\u1000\u1039\u1001\u100f\u102c \u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1036\u1038\u101c\u102f\u1036\u1038\u101c\u103b\u102c\u1038\u101c\u103b\u102c\u1038 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a- \u03b1 \u101e\u100a\u103a \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a \u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u03bb \u101e\u100a\u103a \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\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-9640d41832cbcef7d0a7791c55ace57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha , \\lambda >0&#8243; title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 16&#8243; width=&#8221; 62&#8243; style=&#8221; vertical-align: -4px;&#8221; ><\/p>\n<\/p>\n<ul>\n<li> \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1012\u102d\u102f\u1019\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u101e\u102c \u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1011\u102c\u1038\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-f543506f97e1f9c5a56ccc4566a3febf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in (0,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u1000\u1031\u1038\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1018\u1031\u102c\u1004\u103a\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a \u03b1\/\u03bb \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-326373413d0fe34ef96959dabe9c5cbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{\\alpha}{\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"78\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a \u1005\u1000\u1031\u1038\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1018\u1031\u102c\u1004\u103a\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-693a549de92268ac21add32944199974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\alpha}{\\lambda^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> 1 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u03b1 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a\u104a \u1019\u102f\u1012\u103a\u101e\u100a\u103a 0 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u03b1 \u101e\u100a\u103a 1 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000\u104a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1019\u102f\u1012\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 \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-c9e2762af62f9c38870902ec0284ee07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}Mo=0 \\qquad \\text{para } \\alpha<1\\\\[2ex]Mo=\\cfrac{\\alpha-1}{\\lambda} \\qquad \\text{para } \\alpha\\geq1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u101e\u102d\u1015\u103a\u101e\u100a\u103a\u1038\u1006\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c-<\/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-41689ffee11808eab10064a7f3a77693_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{\\lambda(\\lambda x)^{\\alpha-1}e^{-\\lambda x}}{\\Gamma(\\alpha)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"168\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0393 \u101e\u100a\u103a gamma function \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a<\/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-6e244faebd1174cb6a56e4254bdaaec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Gamma(\\alpha)=\\int_0^\\infty t^{\\alpha-1}e^{-t}dt\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"169\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1005\u102f\u1005\u100a\u103a\u1038\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\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-6bc3247a247daec5048c409319dc3943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle F(x)=\\int_0^x\\frac{\\lambda(\\lambda y)^{\\alpha-1}e^{-\\lambda y}}{\\Gamma(\\alpha)}\\;dy\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"224\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1018\u1031\u102c\u1004\u103a \u03b1 \u101e\u100a\u103a 1 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1015\u102b\u1000\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1005\u1000\u1031\u1038\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c \u03bb \u101b\u103e\u102d\u101e\u1031\u102c \u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1001\u103d\u1032\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\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-60ed376f92f0db2c22e19f85bb76f828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\Gamma(1,\\lambda) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"321\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1005\u1000\u1031\u1038\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c \u03bb \u101e\u100a\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u104a gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b\/\">chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f<\/a> \u104f \u1021\u1011\u1030\u1038\u1000\u102d\u1005\u1039\u1005\u101b\u1015\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-efb733464c432d7d1b22ed7e5c534979_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X\\sim \\Gamma\\left(\\frac{n}{2},\\frac{1}{2}\\right) \\text{con } n\\in \\mathbb{N}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ X\\sim \\chi_n^2\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"389\" style=\"vertical-align: -17px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1019\u103e\u102c \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\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u104a \u104e\u1004\u103a\u1038\u104f\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1002\u101b\u1015\u103a\u1016\u1005\u103a\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b \u1002\u1019\u103a\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u03b1 \u1014\u103e\u1004\u1037\u103a \u03bb \u1010\u102d\u102f\u1037\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u101b\u1015\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u1000\u103a\u1010\u102d\u102f\u1000\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u1030\u1010\u100a\u103a\u101e\u100a\u103a- \u03b1 \u101e\u100a\u103a \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a \u1018\u1031\u102c\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u03bb \u101e\u100a\u103a \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b gamma \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u103a\u1039\u1000\u1031\u1010\u101e\u100a\u103a \u1002\u101b\u102d\u1005\u102c\u101c\u102f\u1036\u1038 \u0393 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u1015\u1014\u103a\u1038 variable \u101e\u100a\u103a gamma \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f 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