Q11. Let X1,X 2,.X, be a random sample from a Poisson distribution with parameter å. (a) Find the Cramer-Rao lower bound for the variance of any unbiased estimator of 2. (b) Find the maximum likelihood estimator (m.l.e.) of à. (c) Is this m.l.e. unbiased and does its variance attain the Cramer-Rao lower bound?
Q11. Let X1,X 2,.X, be a random sample from a Poisson distribution with parameter å. (a) Find the Cramer-Rao lower bound for the variance of any unbiased estimator of 2. (b) Find the maximum likelihood estimator (m.l.e.) of à. (c) Is this m.l.e. unbiased and does its variance attain the Cramer-Rao lower bound?
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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