{"id":984,"date":"2017-12-16T16:30:04","date_gmt":"2017-12-16T21:30:04","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=984"},"modified":"2025-12-13T03:04:15","modified_gmt":"2025-12-13T08:04:15","slug":"2eva2016tii_t1_mn-coeficiente-gini","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2016tii_t1_mn-coeficiente-gini\/","title":{"rendered":"2Eva2016TII_T1_MN Coeficiente Gini"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2016-2017. 14\/Febrero\/2017. ICM02188 M\u00e9todos Num\u00e9ricos<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>.&nbsp; El coeficiente de Gini es una medida para medir la desigualdad.<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> G=\\frac{a}{a+b} <\/span>\n\n\n\n<p><\/p>\n\n\n\n<p>Donde <strong>b<\/strong> es el \u00e1rea bajo la curva de Lorentz (Porcentaje de ingresos de las personas que menos ganan f(x) versus porcentaje de la poblaci\u00f3n x, a + <strong>b<\/strong> = 0.5<\/p>\n\n\n\n<p>Suponga que una poblaci\u00f3n tiene los siguientes ingresos:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>segmento&nbsp; (%)<\/td><td>20<\/td><td>20<\/td><td>20<\/td><td>20<\/td><td>20<\/td><\/tr><tr><td>Ingresos ($)<\/td><td>10000<\/td><td>20000<\/td><td>25000<\/td><td>30000<\/td><td>85000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"489\" height=\"410\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/coeficienteGini02.png\" alt=\"coeficiente Gini  gr\u00e1fico\" class=\"wp-image-17395\" \/><\/figure>\n\n\n\n<p>a) Calcule los porcentajes acumulados y construya la funci\u00f3n f(x) en funci\u00f3n de x<br>(Curva de Lorentz)<\/p>\n\n\n\n<p>b) Aproxime <span class=\"wp-katex-eq\" data-display=\"false\"> b = \\int_0^1 f(x) dx <\/span> mediante el m\u00e9todo del trapecio,<\/p>\n\n\n\n<p>c) Estime el error<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>segmento = &#091;  20, 20,  20, 20, 20]\ningresos = &#091; 10000, 20000, 25000, 30000, 85000]<\/code><\/pre>\n\n\n\n<p><strong>Referencia<\/strong>:Pa\u00eds de desigualdad (1\/3) | DW Documental<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Alemania - Pa\u00eds de desigualdad (1\/3) | DW Documental\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/7-xTlRsI4NA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2016-2017. 14\/Febrero\/2017. ICM02188 M\u00e9todos Num\u00e9ricos Tema 1.&nbsp; El coeficiente de Gini es una medida para medir la desigualdad. Donde b es el \u00e1rea bajo la curva de Lorentz (Porcentaje de ingresos de las personas que menos ganan f(x) versus porcentaje de la poblaci\u00f3n x, a + b = 0.5 Suponga que [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[59],"class_list":["post-984","post","type-post","status-publish","format-standard","hentry","category-mn-2eva20","tag-integracion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/984","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=984"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/984\/revisions"}],"predecessor-version":[{"id":17398,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/984\/revisions\/17398"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=984"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=984"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=984"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}