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Let f(y |) = (1/(+1)) e^(y/(+1)) for y > 0 and > 1. (a) Prove E(y) = + 1. Use integration by by parts. Hint:Perhaps
Let f(y |) = (1/(+1)) e^(y/(+1)) for y > 0 and > 1. (a) Prove E(y) = + 1. Use integration by by parts. Hint:Perhaps let = 1/(+1) (b) Suppose an estimator for the parameter will be the sample mean y. (Here, = y). Compute the bias of the estimator , that is B() (c) Propose an unbiased estimator for .
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