Suppose that X1, , Xn form a random sample from the beta distribution with parameters and , where the value of is known and the value of is unknown ( 0) Show that the following statistic T is a sufficient statistic for 7

Question: Suppose that X1, . . . , Xn form a random sample from the beta distribution with parameters and , where the value of

Suppose that X1, . . . , Xn form a random sample from the beta with parameters Î± and Î², where the value of Î± is known and the value of Î² is unknown (Î² > 0).
Show that the following statistic T is a sufficient statistic for Î²:

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