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Mathematica 8 Integration Bug

  • To: mathgroup at smc.vnet.net
  • Subject: [mg115978] Mathematica 8 Integration Bug
  • From: ChiaraB <c.boldrini at gmail.com>
  • Date: Fri, 28 Jan 2011 06:13:13 -0500 (EST)

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


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