Mathematics, 20.12.2019 06:31, Kennabug4503

13. suppose that form a random sample from a distribution for which the p. d.f. is f (x|θ ), where the value of the parameter θ belongs to a given parameter space ? . suppose that t = r() and t ? = r? () are two statistics such that t ? is a one-to-one function of t ; that is, the value of t ? can be determined from the value of t without knowing the values of , and the value of t can be determined from the value of t ? without knowing the values of . show that t ? is a sufficient statistic for θ if and only if t is a sufficient statistic for θ.

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13. suppose that form a random sample from a distribution for which the p. d.f. is f (x|θ ), where...