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Suppose that Y,...,Y, Poisson(A). We have shown that the MLE for A is Y. It turns out that we are often interested in finding: P(Y = 0) = e-A. Find the MLE for e- and the variance of the MLE (using the Delta Method).

Suppose that Y,...,Y, Poisson(A). We have shown that the MLE for A is Y. It turns out that we are often interested in finding: P(Y = 0) = e-A. Find the MLE for e- and the variance of the MLE (using the Delta Method).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that Y1,.., Yn Poisson(A). We have shown that the MLE for A is Y. It turns out that we are often interested in finding: P(Y = 0) = e-^. Find the MLE for e- and the variance of the MLE (using the Delta Method).
Transcribed Image Text:Suppose that Y1,.., Yn Poisson(A). We have shown that the MLE for A is Y. It turns out that we are often interested in finding: P(Y = 0) = e-^. Find the MLE for e- and the variance of the MLE (using the Delta Method).
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