Question: 5) Let X, X,..., Xn be a random sample taken from an exponential distribution. exp(-2) 0 f(x,0) { = ; -; x > 0

5) Let X, X,..., Xn be a random sample taken from an exponential distribution. exp(-2) 0 f(x,0) { = ; -; x > 0 otherwise a. Find a sufficient statistic for 0 using Factorization Theorem. b.

5) Let X, X,..., Xn be a random sample taken from an exponential distribution. exp(-2) 0 f(x,0) { = ; -; x > 0 otherwise a. Find a sufficient statistic for 0 using Factorization Theorem. b. Hence find the MVUE of 0. c. Show that the MVUE of 0 = n/(n + 1).

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