Re: Mathematica 8 Integration Bug

*To*: mathgroup at smc.vnet.net*Subject*: [mg116068] Re: Mathematica 8 Integration Bug*From*: Chiara Boldrini <c.boldrini at gmail.com>*Date*: Tue, 1 Feb 2011 06:51:12 -0500 (EST)

Thanks, Chiara On Fri, Jan 28, 2011 at 10:19 PM, Daniel Lichtblau <danl at wolfram.com> wrote: > ChiaraB wrote: > >> Hello, >> >> I needed to manipulate some probability distributions, so I ran the >> following code: >> >> ccdfPL[x_, alpha_, xmin_] = (xmin/(xmin + x))^(alpha) >> >> Assuming[alpha \[Element] Reals && alpha > 0 && >> xmin \[Element] Reals && xmin > 0, \!\( >> \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(+\[Infinity]\)]\(D[ >> 1 - ccdfPL[x, alpha, xmin], x] \[DifferentialD]x\)\)] >> >> According to Mathematica 8, this integral does not converge on [0,+\ >> [Infinity]), while it does converge using Mathematica 6 and >> Mathematica 7 (it converges using paper and pencil as well :) ). Any >> idea on how this is possible? >> >> Thanks, >> >> Chiara >> > > Naughty integration code? (Wouldn't be the first time we needed to put it > in the time out room.) > > I filed a bug report for this. Will investigate further. > > Daniel Lichtblau > Wolfram Research > > >