Question: Let X 1 , X 2 , ..., X n be a random sample from a population with probability density function f(x)= / (1+x) +1

Let X1, X2, ..., Xn be a random sample from a population with probability density function

f(x)= / (1+x)+1 , X > 0 , > 0.

Given that =1/ , if log (1 + Xi) is exponentially distributed with mean , find the Cramer Rao lower bound for the variance of unbiased estimator of .

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