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# Statistics : Neyman Factorization Theorem

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Please provide steps so that I can understand the process of finding sufficient statistics using the Factorization Theorem.

Let X1, X2,...,Xn be a random sample from the normal distribution N(0,THETA), 0 < THETA < +infinity. Show that "(the sum from 1 to n of (Xi^2))" is a sufficient statistic of THETA.

What is inside equation : Summation of X of i squared ---> (another way i chose to write, just to make sure in case it is not clear.]

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The Neyman Factorization Theorem is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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