Problem

Consider the following method of estimating λ for a Poisson distribution. Observe that...

Consider the following method of estimating λ for a Poisson distribution. Observe that

Use the method of propagation of error to obtain approximate expressions for the variance and the bias of this estimate. Compare the variance of this estimate to the variance of the mle, computing relative efficiencies for various values of λ. Note that Y ∼ bin(n, p0).

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