X1, ..., Xn be a sample from an Poisson population with parameter λ. (a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased? (c) Is the estimator consistent?

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Let X1, ..., Xn be a sample from an Poisson population with parameter λ.
(a) Find the maximum likelihood estimator for λ.
(b) Is the estimator unbiased?
(c) Is the estimator consistent?

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