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