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SOLVED: Let X1,X2, Xn be a random sample of size from the exponential distribution with parameter 0. The probability density function is specified asf(z)2 0 and 0 > 0.Note that E(X;) = 0 and Var(Xi) = 02In this question we will consider various estimators of 0.Let us first consider a sequence of estimators given by0c cXwhere c is a positive constant and X = n-1 Ex For example, 01 Xand 00.5 0.5X.(6 marks) For any given determine the bias, variance, and mean squared error (MSE) of the estimator 0
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