{"id":487,"date":"2025-07-21T10:07:05","date_gmt":"2025-07-21T09:07:05","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=487"},"modified":"2025-07-21T10:07:34","modified_gmt":"2025-07-21T09:07:34","slug":"la-misteriosa-llei-de-benford","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/la-misteriosa-llei-de-benford\/","title":{"rendered":"La misteriosa llei de Benford"},"content":{"rendered":"<p>La llei de Benford no nom\u00e9s \u00e9s una bellesa matem\u00e0tica: \u00e9s un fenomen estad\u00edstic fascinant que mostra com, contra la intu\u00efci\u00f3, els d\u00edgits inicials de moltes col\u00b7leccions de dades reals no es distribueixen uniformement. El n\u00famero 1 apareix com a primera xifra gaireb\u00e9 un 30% de les vegades! Aquesta regularitat aparentment paradoxal desperta preguntes profundes sobre la naturalesa dels nombres, l\u2019escala logar\u00edtmica i la manera com es generen les dades al m\u00f3n real.<\/p>\n<p>La llei de Benford t\u00e9 aplicacions pr\u00e0ctiques en molts \u00e0mbits gr\u00e0cies a la seva capacitat per detectar irregularitats en conjunts de dades num\u00e8riques. Algunes de les m\u00e9s destacades s\u00f3n:<\/p>\n<ul>\n<li>Auditories i detecci\u00f3 de frau: molt utilitzada per descobrir manipulacions en dades comptables i fiscals.<\/li>\n<li>An\u00e0lisi electoral: pot indicar possibles irregularitats en resultats electorals agregats.<\/li>\n<li>Verificaci\u00f3 de bases de dades: ajuda a comprovar si dades econ\u00f2miques, cient\u00edfiques o p\u00fabliques s\u00f3n aut\u00e8ntiques.<\/li>\n<li>Investigaci\u00f3 criminal i forense: s\u2019aplica en casos de corrupci\u00f3, blanqueig de capitals i delictes econ\u00f2mics.<\/li>\n<li>Ci\u00e8ncies i enginyeria: permet validar mesures i detectar errors en dades experimentals.<\/li>\n<\/ul>\n<p>El treball consistiria en aprofundir en alguna de les explicacions sobre el perqu\u00e9 la llei de Benford \u00e9s tan freq\u00fcent, com la de Fewster (2009), i en aplicar-la a algun conjunt de dades reals.<\/p>\n<p>Refer\u00e8ncia: Fewster, R. M. (2009). A simple explanation of Benford&#8217;s Law. The American Statistician, 63(1): 26\u201332.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La llei de Benford no nom\u00e9s \u00e9s una bellesa matem\u00e0tica: \u00e9s un fenomen estad\u00edstic fascinant que mostra com, contra la intu\u00efci\u00f3, els d\u00edgits inicials de moltes col\u00b7leccions de dades reals no es distribueixen uniformement. El n\u00famero 1 apareix com a primera xifra gaireb\u00e9 un 30% de les vegades! Aquesta regularitat aparentment paradoxal desperta preguntes profundes [&hellip;]<\/p>\n","protected":false},"author":81,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32,1],"tags":[48],"class_list":["post-487","post","type-post","status-publish","format-standard","hentry","category-estadistica-i-investigacio-operativa","category-general","tag-pere-puig"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/487","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/81"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=487"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/487\/revisions"}],"predecessor-version":[{"id":489,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/487\/revisions\/489"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}