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.

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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: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.
Find a sufficient statistic for B.
What is the Maximum Likelihood Estimator (MLE) ß of 3?
Transcribed Image Text:Find a sufficient statistic for B. What is the Maximum Likelihood Estimator (MLE) ß of 3?
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