Let y 1 , y 2 , y 3 , . . . , y n be
Question:
Let y1, y2, y3, . . . , yn be a random sample from a Poisson distribution with mean λ, i.e., E (yi) = λ, i = 1, 2, .... n. Consider four estimators of λ:
a. Which of the four estimators are unbiased?
b. Of the unbiased estimators, which has the smallest variance? Recall that, for a Poisson distribution, V(yi) = λ.
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a To determine if an estimator is unbiased we need to check if its expected value is equal to the tr...View the full answer
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Related Book For 
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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