Suppose that Y₁, Y₂,..., Y is a random sample of size m from Gamma (a = 3,ß= 0), where 8 is not known. Check whether or not the maximum likelihood estimator is a minimum variance unbiased estimator of the parameter 8.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Suppose that Y₁, Y₂, ..., Ym is a random sample of size m from Gamma (a = 3, B = 0), where 0
is not known. Check whether or not the maximum likelihood estimator Ô is a minimum variance
unbiased estimator of the parameter 8.
Transcribed Image Text:Suppose that Y₁, Y₂, ..., Ym is a random sample of size m from Gamma (a = 3, B = 0), where 0 is not known. Check whether or not the maximum likelihood estimator Ô is a minimum variance unbiased estimator of the parameter 8.
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