Question: Let X1,..., X, is a random sample from a population with the cumulative distribution function (CDF) F(x; 0) = (1 e=), x > 0,

Let X1,..., X, is a random sample from a population with the

Let X1,..., X, is a random sample from a population with the cumulative distribution function (CDF) F(x; 0) = (1 e=), x > 0, 0 > 0, and probability density function (pdf) f(x;0) = 0e*(1 e*)-1. x > 0, 0 > 0. Then fnd : 1) Using the asymptotic normality of MLE, find the 100(1 a% asymptotic | confidence for 0. 2) Find a 100(1 a% shortest confidence interval for 0.

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