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а 3. Suppose X1, ..., Xn is a random sample from the distribution, with probability density function f(x; 0) = (-1e-x/0,
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а 3. Suppose X1, ..., Xn is a random sample from the distribution, with probability density function f(x; 0) = (-1e-x/0,
а 3. Suppose X1, ..., Xn is a random sample from the distribution, with probability density function f(x; 0) = (-1e-x/0, x > 0, 0 >0. 0 (a) Derive the maximum likelihood estimator for 0. (b) Is the estimator in (a) a biased or an unbiased estimator of e? Why/ why not? (c) Is the estimator in (a) a mean square error consistent estimator of ? Why/why not? (d) What is the maximum likelihood estimator of 7(0) = Prob(X > 1)?
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