How does one show that there is no unbiased estimator of $ \dfrac$\lambda^{-1}{\lambda} $$ for a Poisson distribution with mean $ \lambda $$\lambda$?

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How to provedoes one show that there is no unbiased estimator for 1/numdaof $ \dfrac{1}{\lambda} $ for a poissonPoisson distribution with mean $ \lambda $?

Suppose X0,X1that $ X_{0},X_{1},\ldots,X_{n} $ are i.i.d.Xn are iid random variables that follow poissonthe Poisson distribution with parameter numdamean $ \lambda $. How can I prove that there'sthere is no unbiased estimator forof the quantity 1/numda$ \dfrac{1}{\lambda} $?

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asked Dec 15, 2013 at 23:51

billlee1231

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How to prove that there is no unbiased estimator for 1/numda for a poisson distribution?

Suppose X0,X1...Xn are iid random variables follow poisson distribution with parameter numda. How can I prove that there's no unbiased estimator for the quantity 1/numda?

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How does one show that there is no unbiased estimator of $ \dfrac$\lambda^{-1}{\lambda} $$ for a Poisson distribution with mean $ \lambda $$\lambda$?

How to provedoes one show that there is no unbiased estimator for 1/numdaof $ \dfrac{1}{\lambda} $ for a poissonPoisson distribution with mean $ \lambda $?

How to prove that there is no unbiased estimator for 1/numda for a poisson distribution?

How does one show that there is no unbiased estimator of $ \dfrac{1}{\lambda} $ for a Poisson distribution with mean $ \lambda $?

How to prove that there is no unbiased estimator for 1/numda for a poisson distribution?