Question: Assume that X 1 , , X n ( n 2 ) are independent random variables with pdfs f ( x i ) = {

Assume thatX1,,Xn(n2) are independent random variables with pdfs

f(xi)={3i10ifi(1)<xi<i(2+1);otherwisefori=1,2,3...

where >0. LetT(X)=max{1min1inixi,21(max1inixi1)} be the (one-dimensional) minimal sufficient statistic for . Is this minimal sufficient statisticT(X) complete? Justify your answers.

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