Question: Let X 1 ,...,X n be a random sample from X with density function f ( x , ) = 2 1 x e x

Let X1,...,Xn be a random sample from X with density function f(x,)=21xex21{x>0}for>0. Use an appropriate approximation to find the likelihood ratio test of size for the testing problem: H0 : =0 versus H1: =0 .

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