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Please answer all parts to the question so I can clearly understand it. I will make sure to upvote! Thanks! (#2) Find appropriate sufficient statistic

Please answerall partsto the question so I can clearly understand it. I will make sure to upvote! Thanks!

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(#2) Find appropriate sufficient statistic (s), as needed, if a random sample of size n is drawn from the following distribution where the values of a > 0 & B > 0 are both unknown. Explain your choice completely. f (X | a, B) = 'T(a) }X-a-3e -PX, X> 0; (I) Write out the simplified L function: L =f. (X,| |a, B) = (II) Define suitable sufficient statistics for this problem: (III) Write the following functions as specified for sufficient statistics: U= V=

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