Question: Could you help me with this question 3. Let X1, X2, ..., X, be i.i.d. random variables with density f(x; 0) = ( 0-x)/7/y, ifx

Could you help me with this question

Could you help me with this question 3. Let X1, X2, ...,

3. Let X1, X2, ..., X, be i.i.d. random variables with density f(x; 0) = ( 0-x)/7/y, ifx 2 0 1 0 else # being unknown parameter and y > 0 a fixed constant. a) Sketch a graph of a density from this family for fixed 0 = 1 and y = 1. b) Find the cumulative distribution function Fx (y; 0) and the density fx(y; 0) of the smallest of the observations, X(1). (Don't treat o and y as specific values any more). Hint: you could use P(X() y) = 1-[P(X1 2 y)]". c) Justify that X() is a minimal sufficient statistic for 0. d) Find EX(). e) Show that Xon is complete. Hence find the UMVUE of 9

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