Suppose X 1 , X 2 , , X n is a random sample of size n drawn from a Poisson pdf where is an unknown parameter Show that X is unbiased for For what type of parameter, in general, will the sample mean necessarily be an unbiased estimator

Question: Suppose X 1 , X 2 , . . . , X n is a random sample of size n drawn from a Poisson pdf

Suppose X₁, X₂, . . . , X_n is a random sample of size n drawn from a Poisson pdf where λ is an unknown parameter. Show that ˆλ = X is unbiased for λ. For what type of parameter, in general, will the sample mean necessarily be an unbiased estimator?

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