Cramer Rao Bound
Consider a random sample of size n from a Bernoulli distribution, Xi ~ BIN (1,p).
(a) Find the CRLB (Cramero-Rao Lower Bound) for the variances of unbiased estimators of p.
(b) Find the CRLB for the variances of unbiased estimators of p(1-p).
(c) Find a UMVUE of p.
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