Let X be a Poisson random variable with parameter A > 0 Also let 0 = e -3A Compute the bias of the estimator 0 = e-3X at A = 1.3 Find an unbiased estimator for 0 and give its value at X = 5

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 43CR
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-3A
Let X
be a Poisson random variable with parameter A> 0
Also let 0 = e
Compute the bias of the estimator 0
-3X
e
at A = 1.3
Find an unbiased estimator for 0 and give its value at X = 5
Transcribed Image Text:-3A Let X be a Poisson random variable with parameter A> 0 Also let 0 = e Compute the bias of the estimator 0 -3X e at A = 1.3 Find an unbiased estimator for 0 and give its value at X = 5
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