Find the mmse estimator of q

Reference no: EM131083783

For a certain coin, Q, is a uniform (0, 1) random variable. Given Q = q, each flip is heads with probability q, independent of any other flip. Suppose this coin is flipped n times. Let K denote the number of heads in n flips.

(a) What is the ML estimator of Q given K?

(b) What is the PMF of K? What is E[K]?

(d) Find the MMSE estimator of Q given K = k.

Reference no: EM131083783

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