{"id":1019,"date":"2016-09-26T06:32:32","date_gmt":"2016-09-26T11:32:32","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=1019"},"modified":"2026-04-05T16:26:15","modified_gmt":"2026-04-05T21:26:15","slug":"2eva2012tiii_t2-fiec-densidad-espectral-de-potencia","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-2eva\/2eva2012tiii_t2-fiec-densidad-espectral-de-potencia\/","title":{"rendered":"2Eva2012TIII_T2 FIEC densidad espectral de potencia"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong> (50 puntos). Sea <strong>X<\/strong>(\u03c4) un proceso estoc\u00e1stico normal y estacionario de media 1 y autocorrelaci\u00f3n:<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R_X (\\tau)=\\frac{18}{9 + \\tau^2} + 1 <\/span>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\tau \\in \\Re <\/span>\n\n\n\n<p>a) Calcular la P(|X(3)|&gt;1)<\/p>\n\n\n\n<p>b)Determinar la matriz de covarianzas de la variable aleatoria tridimensional [X(0),X(1),X(3)]<\/p>\n\n\n\n<p>c) La autocorrelaci\u00f3n del proceso estoc\u00e1stico<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">Y(t)=2X(t+2)+t <\/span>\n\n\n\n<p>d) La funci\u00f3n de densidad de la variable aleatoria<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> Z=X^2 (3) <\/span>\n\n\n\n<p>d) S<sub>X<\/sub>(f) y Graficarla<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: cada literal (10 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n III T\u00e9rmino 2012-2013. Marzo 20, 2013. FIEC03236 Tema 2 (50 puntos). Sea X(\u03c4) un proceso estoc\u00e1stico normal y estacionario de media 1 y autocorrelaci\u00f3n: a) Calcular la P(|X(3)|&gt;1) b)Determinar la matriz de covarianzas de la variable aleatoria tridimensional [X(0),X(1),X(3)] c) La autocorrelaci\u00f3n del proceso estoc\u00e1stico d) La funci\u00f3n de densidad de la variable [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-stp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[210],"tags":[],"class_list":["post-1019","post","type-post","status-publish","format-standard","hentry","category-stp-2eva"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1019","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=1019"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1019\/revisions"}],"predecessor-version":[{"id":23503,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1019\/revisions\/23503"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1019"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1019"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}