User talk:Sheppa28

beta prime distribution
Hi. I think you mix up some things... the Dagum distribution as defined in http://hosho.ees.hokudai.ac.jp/~kubo/Rdoc/library/VGAM/html/dagum.html does not have the Beta function in the quotient, hence cannot be a special case of the generalized beta prime distribution. regards. —Preceding unsigned comment added by 129.132.146.66 (talk) 13:13, 16 March 2011 (UTC)


 * Thanks for your message, but the relationship is indeed correct. The probability density function follow as

\begin{align} \beta^{'}(p,1,a,b) & = \frac{a{\left({\frac{x}{b}}\right)}^{ap-1} \left({1+{\left({\frac{x}{b}}\right)}^a}\right)^{-p-1}}{b \beta(p,1)} \\ & = a b^{-ap} p x^{-1+ap} {\left( 1+{\left(\frac{x}{b}\right)}^a \right)}^{-1-p} \\ & = \textrm{Dagum}(p,a,b) \\ \end{align} $$
 * Where $$\beta(\alpha,\beta)\,$$ is the beta function, and $$\beta(p,1)=\tfrac{1}{p}\,$$.
 * Sheppa28 (talk) 17:18, 16 March 2011 (UTC)


 * ah, you are right. i didnt look properly and thought the alpha and beta parameters correspond to a and b in dagum... sorry for the inconveniences. regards. —Preceding unsigned comment added by 129.132.146.66 (talk) 08:05, 17 March 2011 (UTC)


 * No worries. Have a good day! Sheppa28 (talk) 10:45, 17 March 2011 (UTC)

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