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Use the factorization theorem to find a sufficient
Chapter , Problem 70(choose chapter or problem)
QUESTION:
Use the factorization theorem to find a sufficient statistic for the exponential distribution.
Questions & Answers
QUESTION:
Use the factorization theorem to find a sufficient statistic for the exponential distribution.
ANSWER:Step 1 of 2
We want to find the sufficient statistic of exponential distribution using factorization theorem.
Let us consider, be the random sample from exponential distribution with mean and probability density function is given by
; where and …………………(a)
And also the joint probability density function is given by
………………….(b)