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Unformatted text preview: Now check that if X is Pareto with theta=1 and nu=1, then Y=log(X) has an exponential distribution with mean 1. This allows you to find the distribution of log(T) using the memoryless property of the exponential distribution: T = sum[log(Xi) - log(min Xi)] and each of the nonzero terms in this sum has an exponential distribution with mean one. (This is just an informal argument.) Thus log(T) has a gamma(n-1,1) distribution. http://www.stat.fsu.edu/~huffer/mordor/5327/test3_material/ch8.homewor. .. 1 of 1 08/08/2009 7:11 PM...
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This note was uploaded on 12/15/2011 for the course STAT 5326 taught by Professor Frade during the Fall '10 term at FSU.
- Fall '10