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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
If a random variable U has a gamma distribution with parameters α > 0 and β > 0, then Y = eU [equivalently, U = ln(Y )] is said to have a log-gamma distribution. The log-gamma distribution is used by actuaries as part of an important model for the distribution of insurance claims. Let U and Y be as stated.
Â
a Show that the density function for Y is
Â
               
Â

Â
Example 4.13
Find the moment-generating function for a gamma-distributed random variable
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