{"id":127,"date":"2016-06-11T07:29:47","date_gmt":"2016-06-11T07:29:47","guid":{"rendered":"http:\/\/www.uncertain-future.org.uk\/?page_id=127"},"modified":"2016-06-11T07:40:50","modified_gmt":"2016-06-11T07:40:50","slug":"generating-correlated-random-variables-using-copulas","status":"publish","type":"page","link":"http:\/\/www.uncertain-future.org.uk\/?page_id=127","title":{"rendered":"Generating correlated random variables using copulas"},"content":{"rendered":"<p><u><\/u><u>Libraries<\/u><\/p>\n<p>These routines make use of the R Copula library<\/p>\n<p><u>Download<\/u><\/p>\n<p>Download sample code for generating joint samples with different copula routines\u00a0[<a href=\"http:\/\/www.uncertain-future.org.uk\/wp-content\/uploads\/2016\/06\/R-Copular.zip\"><em>Here<\/em><\/a>]<\/p>\n<p><u>Procedure<\/u><\/p>\n<p>The function\u00a0normal_copula\u00a0can be used to explore the generation of joint samples from normal [xmean,xsd] and beta [xshape1,xshape2] distributions with different degrees of correlation<\/p>\n<p>The routine is called as<\/p>\n<p>normal_copula(num,corrcoeff,xmin,xmax,ymin,ymax,xmean,xsd,yshape1,yshape2,shade,angle)<\/p>\n<p>where\u00a0corrcoeff\u00a0is a correlation parameter (0-1).\u00a0\u00a0Shade\u00a0(0-1) and viewing\u00a0angle\u00a0(in degrees) are optional parameters that change the perspective plot.\u00a0 Default values are 0.5 and 45 degrees<\/p>\n<p>The routine produces plots of the shape of the copula, the joint density and a random sample of values.<\/p>\n<p>Other Gumbel and Frank copula forms can be tried using the routines:<\/p>\n<p>gumbel_copula(num,copcoeff,xmin,xmax,ymin,ymax,xmean,xsd,yshape1,yshape2,shade,angle)<\/p>\n<p>frank_copula(num,copcoeff,xmin,xmax,ymin,ymax,xmean,xsd,yshape1,yshape2,shade,angle)<\/p>\n<p>These are both members of the Archimedian family of copulas and have a different range of correlation parameter in this implementation.\u00a0\u00a0 Try values of\u00a0\u00a0copcoeff\u00a0 up to +\/- 50\u00a0 for the Frank copula and in the range [0,10] for the Gumbel copula..<\/p>\n<p>Many other forms of copula are available in the R Copula library.\u00a0\u00a0 They can be extended to more than 2 dimensions for multiple co-varying parameters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Libraries These routines make use of the R Copula library Download Download sample code for generating joint samples with different copula routines\u00a0[Here] Procedure The function\u00a0normal_copula\u00a0can be used to explore the generation of joint samples from normal [xmean,xsd] and beta [xshape1,xshape2] distributions with different degrees of correlation The routine is called as normal_copula(num,corrcoeff,xmin,xmax,ymin,ymax,xmean,xsd,yshape1,yshape2,shade,angle) where\u00a0corrcoeff\u00a0is a correlation &hellip; <a href=\"http:\/\/www.uncertain-future.org.uk\/?page_id=127\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Generating correlated random variables using copulas<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":28,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-127","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/pages\/127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=127"}],"version-history":[{"count":2,"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/pages\/127\/revisions"}],"predecessor-version":[{"id":136,"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/pages\/127\/revisions\/136"}],"up":[{"embeddable":true,"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=\/wp\/v2\/pages\/28"}],"wp:attachment":[{"href":"http:\/\/www.uncertain-future.org.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}