Find the umvue of pm, Let X1, ..., Xn be i.i.d. binary

Find the umvue of pm

Reference no: EM131851942

Let X₁, ..., X_n be i.i.d. binary random variables with P(X_i = 1) = p ∈ (0, 1).

(a) Find the UMVUE of pm, m ≤ n.

(b) Find the UMVUE of P(X₁ + · · · + X_m = k), where m and k are positive integers ≤ n.

Reference no: EM131851942

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