{"id":226,"date":"2023-08-03T21:54:17","date_gmt":"2023-08-03T21:54:17","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%b7%d0%b0%d0%ba%d0%be%d0%bd-%d0%bf%d0%b0%d1%80%d0%b5%d1%82%d0%be\/"},"modified":"2023-08-03T21:54:17","modified_gmt":"2023-08-03T21:54:17","slug":"%d0%b7%d0%b0%d0%ba%d0%be%d0%bd-%d0%bf%d0%b0%d1%80%d0%b5%d1%82%d0%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%b7%d0%b0%d0%ba%d0%be%d0%bd-%d0%bf%d0%b0%d1%80%d0%b5%d1%82%d0%be\/","title":{"rendered":"\u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u043f\u0430\u0440\u0435\u0442\u043e"},"content":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u0412\u0438 \u0442\u0430\u043a\u043e\u0436 \u0437\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0431\u0430\u0447\u0438\u0442\u0438 \u0433\u0440\u0430\u0444\u0456\u043a \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0442\u0430 \u0432\u043b\u0430\u0441\u0442\u0438\u0432\u043e\u0441\u0442\u0456 \u0446\u044c\u043e\u0433\u043e \u0442\u0438\u043f\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-de-pareto\"><\/span> \u0429\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e<\/strong> \u2014 \u0431\u0435\u0437\u043f\u0435\u0440\u0435\u0440\u0432\u043d\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0434\u043b\u044f \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0443 \u041f\u0430\u0440\u0435\u0442\u043e. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u0454 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439, \u044f\u043a\u0438\u0439 \u043c\u0430\u0454 \u043a\u0456\u043b\u044c\u043a\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u044c, \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u043f\u043e\u044f\u0432\u0438 \u044f\u043a\u0438\u0445 \u043d\u0430\u0431\u0430\u0433\u0430\u0442\u043e \u0432\u0438\u0449\u0435, \u043d\u0456\u0436 \u0456\u043d\u0448\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f.<\/p>\n<p> \u041f\u0430\u043c\u2019\u044f\u0442\u0430\u0439\u0442\u0435, \u0449\u043e \u0437\u0430\u043a\u043e\u043d \u041f\u0430\u0440\u0435\u0442\u043e, \u0442\u0430\u043a\u043e\u0436 \u0437\u0432\u0430\u043d\u0438\u0439 \u043f\u0440\u0430\u0432\u0438\u043b\u043e\u043c 80-20, \u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0438\u043c \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u043e\u043c, \u044f\u043a\u0438\u0439 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c, \u0449\u043e \u0431\u0456\u043b\u044c\u0448\u0456\u0441\u0442\u044c \u043f\u0440\u0438\u0447\u0438\u043d \u044f\u0432\u0438\u0449\u0430 \u0454 \u043f\u0440\u0438\u0447\u0438\u043d\u043e\u044e \u043d\u0435\u0432\u0435\u043b\u0438\u043a\u043e\u0457 \u0447\u0430\u0441\u0442\u0438\u043d\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f.<\/p>\n<p> \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u0430\u0454 \u0434\u0432\u0430 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438: \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0443 x <sub>m<\/sub> \u0456 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u0444\u043e\u0440\u043c\u0438 \u03b1.<\/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-c13a66a388e0a7e26781a0e8d9645f40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Pareto}(\\alpha,x_m)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0432\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0431\u0430\u0433\u0430\u0442\u0441\u0442\u0432\u0430 \u0432\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0456 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0431\u0456\u043b\u044c\u0448\u0430 \u0447\u0430\u0441\u0442\u0438\u043d\u0430 \u0439\u043e\u0433\u043e \u0431\u0443\u043b\u0430 \u0437\u0443\u043c\u043e\u0432\u043b\u0435\u043d\u0430 \u043d\u0435\u0432\u0435\u043b\u0438\u043a\u043e\u044e \u0447\u0430\u0441\u0442\u043a\u043e\u044e \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f. \u0410\u043b\u0435 \u0432 \u0434\u0430\u043d\u0438\u0439 \u0447\u0430\u0441 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u044c, \u043d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u0432 \u043a\u043e\u043d\u0442\u0440\u043e\u043b\u0456 \u044f\u043a\u043e\u0441\u0442\u0456, \u0432 \u0435\u043a\u043e\u043d\u043e\u043c\u0456\u0446\u0456, \u0432 \u043d\u0430\u0443\u0446\u0456, \u0432 \u0441\u043e\u0446\u0456\u0430\u043b\u044c\u043d\u0456\u0439 \u0441\u0444\u0435\u0440\u0456 \u0456 \u0442.\u0434.<\/p>\n<p> \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u043d\u0430\u0437\u0432\u0430\u043d\u043e \u043d\u0430 \u0447\u0435\u0441\u0442\u044c \u0435\u043a\u043e\u043d\u043e\u043c\u0456\u0441\u0442\u0430 \u0412\u0456\u043b\u044c\u0444\u0440\u0435\u0434\u043e \u041f\u0430\u0440\u0435\u0442\u043e, \u044f\u043a\u0438\u0439 \u0441\u0444\u043e\u0440\u043c\u0443\u043b\u044e\u0432\u0430\u0432 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b. \u041e\u0434\u043d\u0430\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u0435 \u0432\u0456\u043d \u0432\u0456\u0434\u043e\u043c\u0438\u0439 \u0437\u0430\u0432\u0434\u044f\u043a\u0438 \u0434\u0456\u0430\u0433\u0440\u0430\u043c\u0456 \u041f\u0430\u0440\u0435\u0442\u043e. <\/p>\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> <strong>\u0414\u0438\u0432\u0456\u0442\u044c\u0441\u044f:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0434\u0456\u0430\u0433\u0440\u0430\u043c\u0430-\u043f\u0430\u0440\u0435\u0442\u043e\/\">\u0429\u043e \u0442\u0430\u043a\u0435 \u0434\u0456\u0430\u0433\u0440\u0430\u043c\u0430 \u041f\u0430\u0440\u0435\u0442\u043e?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-de-pareto\"><\/span> \u0422\u0430\u0431\u043b\u0438\u0446\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440, \u043a\u043e\u043b\u0438 \u043c\u0438 \u0437\u043d\u0430\u0454\u043c\u043e \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u043e\u0437\u0433\u043b\u044f\u043d\u0435\u043c\u043e \u043a\u0456\u043b\u044c\u043a\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456\u0432 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0445 \u0433\u0440\u0430\u0444\u0456\u0447\u043d\u043e.<\/p>\n<p> \u041e\u0442\u0436\u0435, \u043d\u0438\u0436\u0447\u0435 \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0431\u0430\u0447\u0438\u0442\u0438, \u044f\u043a \u0432\u0438\u0433\u043b\u044f\u0434\u0430\u0454 \u0433\u0440\u0430\u0444\u0456\u043a \u0444\u0443\u043d\u043a\u0446\u0456\u0457 \u0449\u0456\u043b\u044c\u043d\u043e\u0441\u0442\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0432 \u0437\u0430\u043b\u0435\u0436\u043d\u043e\u0441\u0442\u0456 \u0432\u0456\u0434 \u0439\u043e\u0433\u043e \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-de-pareto.png\" alt=\"\u0414\u0456\u0430\u0433\u0440\u0430\u043c\u0430 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e\" class=\"wp-image-4774\" width=\"587\" height=\"413\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u0417\u0432\u0435\u0440\u043d\u0456\u0442\u044c \u0443\u0432\u0430\u0433\u0443, \u0449\u043e \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442\u044c \u0432\u0456\u0434 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f x <sub>m<\/sub> \u0434\u043e +\u221e, \u0442\u043e\u043c\u0443 \u0444\u0443\u043d\u043a\u0446\u0456\u044f \u0449\u0456\u043b\u044c\u043d\u043e\u0441\u0442\u0456 \u043d\u0435 \u0456\u0441\u043d\u0443\u0454 \u0434\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f x <sub>m<\/sub> .<\/p>\n<p> \u0417 \u0456\u043d\u0448\u043e\u0433\u043e \u0431\u043e\u043a\u0443, \u0433\u0440\u0430\u0444\u0456\u043a \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u043e\u0457 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u0430\u0454 \u0442\u0430\u043a\u0438\u0439 \u0432\u0438\u0433\u043b\u044f\u0434: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-de-probabilite-pareto-cumulative.png\" alt=\"\u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u0430 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e\" class=\"wp-image-4775\" width=\"589\" height=\"414\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-de-pareto\"><\/span> \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0447\u0435 \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u043d\u0430\u0439\u0432\u0430\u0436\u043b\u0438\u0432\u0456\u0448\u0456 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e, \u043f\u043e\u0432\u2019\u044f\u0437\u0430\u043d\u0456 \u0437 \u0442\u0435\u043e\u0440\u0456\u0454\u044e \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439 \u0456 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e.<\/p>\n<ul>\n<li> \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u0430\u0454 \u0434\u0432\u0430 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438, \u044f\u043a\u0456 \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u044e\u0442\u044c \u0439\u043e\u0433\u043e \u043a\u0440\u0438\u0432\u0443: \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0443 x <sub>m<\/sub> \u0456 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u0444\u043e\u0440\u043c\u0438 \u03b1.<\/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-c13a66a388e0a7e26781a0e8d9645f40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Pareto}(\\alpha,x_m)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041e\u0431\u043b\u0430\u0441\u0442\u044c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0441\u043a\u043b\u0430\u0434\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u0443\u0441\u0456\u0445 \u0434\u0456\u0439\u0441\u043d\u0438\u0445 \u0447\u0438\u0441\u0435\u043b \u0432\u0456\u0434 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0443 \u0434\u043e \u043f\u043b\u044e\u0441 \u043d\u0435\u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u043e\u0441\u0442\u0456.<\/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-c720ee182b49a794ed2862dd83a10ca9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [x_m,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042f\u043a\u0449\u043e \u03b1 \u0431\u0456\u043b\u044c\u0448\u0435 \u0437\u0430 1, \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0434\u043e\u0440\u0456\u0432\u043d\u044e\u0454 \u0434\u043e\u0431\u0443\u0442\u043a\u0443 \u03b1, \u043f\u043e\u043c\u043d\u043e\u0436\u0435\u043d\u043e\u0433\u043e \u043d\u0430 x <sub>m<\/sub> , \u0456 \u03b1 \u043c\u0456\u043d\u0443\u0441 1.<\/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-6d26513868f9ed6fa45ab0fde0030884_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{\\alpha\\cdot x_m}{\\alpha-1}\\quad\\text{para } \\alpha>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;34&#8243; width=&#8221;214&#8243; style=&#8221;vertical-align: -12px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> \u0414\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0437\u0430\u043b\u0435\u0436\u0438\u0442\u044c \u0432\u0456\u0434 \u0434\u0432\u043e\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0442\u0430 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u044c\u0441\u044f \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/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-6120976b3586b76661d13bb9fdd5375d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Var(X)=\\frac{x_\\mathrm{m}^2\\cdot \\alpha}{(\\alpha-1)^2\\cdot(\\alpha-2)}\\quad \\text{para }\\alpha>2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;44&#8243; width=&#8221;323&#8243; style=&#8221;vertical-align: -17px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> \u041c\u0435\u0434\u0456\u0430\u043d\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u043e\u0436\u043d\u0430 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438 \u0437\u0430 \u0442\u0430\u043a\u0438\u043c \u0432\u0438\u0440\u0430\u0437\u043e\u043c:<\/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-0dc2c772a0a0662ad05f8b22c3cf1ba1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Me=x_\\mathrm{m}\\cdot \\sqrt[\\alpha]{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"113\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0420\u0435\u0436\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0435\u043a\u0432\u0456\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0438\u0439 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u043e\u043c\u0443 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0443 x <sub>m<\/sub> \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443.<\/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-494f2f6e64851f90c504c989d93e22dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=x_m\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0444\u0443\u043d\u043a\u0446\u0456\u0457 \u0433\u0443\u0441\u0442\u0438\u043d\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0454:<\/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-1e182771cfe3bf9a145a2ee59b9c7eeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{\\alpha\\cdot x_m^\\alpha}{x^{\\alpha+1}}\\quad\\text{para }x\\geq x_m\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"262\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041f\u043e\u0434\u0456\u0431\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043a\u0443\u043c\u0443\u043b\u044f\u0442\u0438\u0432\u043d\u043e\u0457 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u043c\u0430\u0454 \u0432\u0438\u0433\u043b\u044f\u0434:<\/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-480adc7841b7c72cb4bfecb446ed3fab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=1-\\left(\\frac{x_\\mathrm{m}}{x}\\right)^\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442 \u0430\u0441\u0438\u043c\u0435\u0442\u0440\u0456\u0457 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0437\u0430\u043b\u0435\u0436\u0438\u0442\u044c \u043b\u0438\u0448\u0435 \u0432\u0456\u0434 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u0444\u043e\u0440\u043c\u0438 \u03b1 \u0456 \u043c\u0430\u0454 \u0442\u0430\u043a\u0438\u0439 \u0432\u0438\u0440\u0430\u0437:<\/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-98e7ba5f5d32988033c0f33d6af1bef8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{2(1+\\alpha)}{\\alpha-3}\\,\\sqrt{\\frac{\\alpha-2}{\\alpha}}\\quad\\text{para }\\alpha>3&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;43&#8243; width=&#8221;274&#8243; style=&#8221;vertical-align: -14px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> \u041a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442 \u0435\u043a\u0441\u0446\u0435\u0441\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0442\u0430\u043a\u043e\u0436 \u0437\u043c\u0456\u043d\u044e\u0454\u0442\u044c\u0441\u044f \u0432 \u0437\u0430\u043b\u0435\u0436\u043d\u043e\u0441\u0442\u0456 \u0432\u0456\u0434 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u03b1 \u0456 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/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-989019815fbeb266226cff9aa6b4a52b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\frac{6(\\alpha^3+\\alpha^2-6\\alpha-2)}{\\alpha(\\alpha-3)(\\alpha-4)}\\quad\\text{para }\\alpha>4&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;44&#8243; width=&#8221;299&#8243; style=&#8221;vertical-align: -17px;&#8221;><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u0412\u0438 \u0442\u0430\u043a\u043e\u0436 \u0437\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0431\u0430\u0447\u0438\u0442\u0438 \u0433\u0440\u0430\u0444\u0456\u043a \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u041f\u0430\u0440\u0435\u0442\u043e \u0442\u0430 \u0432\u043b\u0430\u0441\u0442\u0438\u0432\u043e\u0441\u0442\u0456 \u0446\u044c\u043e\u0433\u043e \u0442\u0438\u043f\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439. \u0429\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e? \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u2014 \u0431\u0435\u0437\u043f\u0435\u0440\u0435\u0440\u0432\u043d\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0434\u043b\u044f \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0443 \u041f\u0430\u0440\u0435\u0442\u043e. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e \u0454 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439, \u044f\u043a\u0438\u0439 \u043c\u0430\u0454 [&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 \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e<\/title>\n<meta name=\"description\" content=\"\u0422\u0443\u0442 \u0432\u0438 \u0434\u0456\u0437\u043d\u0430\u0454\u0442\u0435\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u041f\u0430\u0440\u0435\u0442\u043e, \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f, 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