{"id":227,"date":"2023-08-03T22:21:12","date_gmt":"2023-08-03T22:21:12","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%90%e1%80%99%e1%80%ba%e1%80%b8%e1%80%95%e1%80%af%e1%80%b6%e1%80%99%e1%80%be%e1%80%94%e1%80%ba%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc\/"},"modified":"2023-08-03T22:21:12","modified_gmt":"2023-08-03T22:21:12","slug":"%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%90%e1%80%99%e1%80%ba%e1%80%b8%e1%80%95%e1%80%af%e1%80%b6%e1%80%99%e1%80%be%e1%80%94%e1%80%ba%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%90%e1%80%99%e1%80%ba%e1%80%b8%e1%80%95%e1%80%af%e1%80%b6%e1%80%99%e1%80%be%e1%80%94%e1%80%ba%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7%e1%80%ba%e1%80%96%e1%80%bc\/","title":{"rendered":"\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u1021\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 \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \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 \u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-lognormal\"><\/span> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\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>\u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c<\/strong> <strong>\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/strong> \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u1031\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\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<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a variable X \u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a exponential function e <sup>x<\/sup> \u1010\u103d\u1004\u103a lognormal distribution \u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\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-216d8f120f09a37cd8f797bb3b115a40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Lognormal}(\\mu,\\sigma^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a \u1021\u1004\u103c\u1004\u103a\u1038\u1021\u1001\u102f\u1036\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101a\u1030\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u103b\u102d\u1014\u103a\u1010\u103d\u1004\u103a\u101e\u102c \u101c\u1031\u102c\u1037\u1002\u103a\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1004\u103d\u1031\u1000\u103c\u1031\u1038\u101b\u1004\u103a\u1038\u1014\u103e\u102e\u1038\u1019\u103c\u103e\u102f\u1015\u103a\u1014\u103e\u1036\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1024\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> lognormal \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f <strong>Tinaut \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u101f\u102f\u101c\u100a\u103a\u1038<\/strong> \u1001\u1031\u102b\u103a\u1000\u103c\u1015\u103c\u102e\u1038\u104a \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a <strong>lognormal distribution<\/strong> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <strong>log-normal distribution<\/strong> \u1021\u1016\u103c\u1005\u103a\u101c\u100a\u103a\u1038 \u101b\u1031\u1038\u101e\u102c\u1038\u1000\u103c\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-lognormal\"><\/span> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f \u1007\u102c\u1010\u103a\u1000\u103d\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a lognormal \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f \u101e\u102d\u1015\u103c\u102e\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u101c\u1031\u102c\u1037\u1002\u103a\u1014\u1019\u102c\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1002\u101b\u1015\u103a\u1016\u1005\u103a\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1015\u102f\u1036\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f\u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u104d \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1024\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\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\u1019\u103e\u102f\u104f\u1002\u101b\u1015\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\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\/trace-de-distribution-lognormale.png\" alt=\"\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1000\u103d\u1000\u103a\" class=\"wp-image-4563\" width=\"675\" height=\"406\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1005\u102f\u1005\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1002\u101b\u1015\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\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-de-probabilite-lognormale-cumulative.png\" alt=\"\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \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\u1000\u103d\u1000\u103a\" class=\"wp-image-4564\" width=\"675\" height=\"404\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-lognormal\"><\/span> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\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> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u1000\u1039\u1001\u100f\u102c\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1018\u1031\u102c\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u104a \u104e\u1004\u103a\u1038\u104f\u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u00b5 \u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u03c3 <sup>2 \u1010\u102d\u102f\u1037<\/sup> \u1016\u103c\u1004\u1037\u103a \u101e\u1010\u103a\u1019\u103e\u1010\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-216d8f120f09a37cd8f797bb3b115a40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Lognormal}(\\mu,\\sigma^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u101e\u100a\u103a \u1021\u1014\u102f\u1010\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101e\u102f\u100a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u1000\u103a\u1019\u1001\u1036\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u101e\u100a\u103a \u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101e\u102f\u100a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u1000\u103a\u1019\u1001\u1036\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1012\u102d\u102f\u1019\u102d\u1014\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u101b\u103e\u102d\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\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> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a\u1001\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u102c\u1038 e \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-109a1024d530b2993db41f1d7a5a24c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E[X]=e^{\\mu+\\frac{\\sigma^2}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\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-5afc17462bb71082888ab755626b853a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\left(e^{\\sigma^2}-1\\right)\\cdot e^{2\\mu+\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"223\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f\u1019\u102f\u1012\u103a\u101e\u100a\u103a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u102d\u102f\u1037 \u1019\u103c\u103e\u1004\u1037\u103a\u1010\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u1036\u1015\u102b\u1010\u103a e \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-21b2bd4c45dca8e305c9ee480d961f4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=e^\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1015\u102f\u1036\u101e\u1031\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u101c\u103d\u1032\u1001\u103b\u1031\u102c\u103a\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\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-2686fd41c4e28d5c396bf494229a63a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\left(e^{\\sigma^2}+2\\right)\\cdot\\sqrt{e^{\\sigma^2}-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"198\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\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\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-25698732745689402d16ea353a072cc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{1}{\\sigma \\cdot x\\cdot \\sqrt{2 \\pi}}\\cdot \\exp\\left(-\\frac{(\\ln x-\\mu)^2}{2\\sigma^2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"347\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\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\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-59c2474703bad4805a6a44bd05cf92bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\Phi\\left(\\frac{\\ln x-\\mu}{\\sigma}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"200\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u101b\u103d\u103e\u1031<\/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-21f36758b04341c7980aa18b13ced720_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Phi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u1015\u102f\u1036\u1019\u103e\u1014\u103a-\u1005\u1036\u1001\u103d\u1032\u101d\u1031\u1019\u103e\u102f\/\">\u1005\u1036\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/a> \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\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1002\u100f\u1014\u103a\u1038\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\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-96e66e8c60e4ce5e235c30258e4ecead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu > Me&#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 16&#8243; width=&#8221; 61&#8243; style=&#8221; vertical-align: -4px;&#8221; ><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u1021\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 \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \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 \u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c \u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u1031\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\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 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a variable X \u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a exponential function e x \u1010\u103d\u1004\u103a lognormal distribution 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