Question

. Consider the Bernoulli distribution, P(X = x|p) = (p^x) (1 − p) ^(1−x) for x...

. Consider the Bernoulli distribution, P(X = x|p) = (p^x) (1 − p) ^(1−x) for x = 0 and x = 1.

(a) Show that this is an exponential family.

(b) Find a sufficient statistic for p.

(c) Show that X is a m.v.u.e. for p.

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