Groups > comp.soft-sys.math.mathematica > #2074

Re: Expected value of the Geometric distribution

From	David Skulsky <edskulsky@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Re: Expected value of the Geometric distribution
Date	2011-05-04 10:32 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<ipr9v7$q0$1@smc.vnet.net> (permalink)

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Mathematica has provided the simplest form of the result given what it knows about \Beta and \Mu.

If you provide it some additional information (via Assuming) and then Simplify, you will get what you expect:

int = Integrate[E^(-E^(-((x - \[Mu])/\[Beta])) - (x - \[Mu])/\[Beta])/\[Beta]* x, {x, -\[Infinity], \[Infinity]}]

Assuming[{Re[\[Beta]] > 0, \[Mu] > \[Beta]}, Simplify[int]]

EulerGamma \[Beta] + \[Mu]


David

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Re: Expected value of the Geometric distribution David Skulsky <edskulsky@gmail.com> - 2011-05-04 10:32 +0000

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