Let X1, X2, ... , Xn represent a random sample from a population with a gamma(2, B) distribution, ie., its probability density function is given by xe-x/B 32 0 < x < ∞ f(x; ß) = 0, otherwise.
Let X1, X2, ... , Xn represent a random sample from a population with a gamma(2, B) distribution, ie., its probability density function is given by xe-x/B 32 0 < x < ∞ f(x; ß) = 0, otherwise.
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
Section13.1: Continuous Probability Models
Problem 27E
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Transcribed Image Text:Let X1, X2, ..., X, represent a random sample from a population with a gamma(2, B)
distribution, ie., its probability density function is given by
xe-x/ß
32
0<x < 0
f(x; B) :
0,
otherwise.
Transcribed Image Text:Find a sufficient statistic for B.
What is the Maximum Likelihood Estimator (MLE) ß of 3?
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