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**[SOLVED] unbised estimator of Binomial Distribution**

I have no idea how to find such an estimator

Suppose[tex]X_1, ..., X_n \sim Bern(p)

[/tex]

find an unbiased estimator of [tex]p^m, for m < n[/tex]

Induction on m was a nasty mess that should not be expected. The power of m causes some problem when I try to go from the definition of expectation. Any one have some hint?