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4 Let X1,⋯,Xn be an random variables from a distribution with density (θ>0) f(x)={θ1x(1/θ)−100≤x≤1 Otherwise Show
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4 Let X1,⋯,Xn be an random variables from a distribution with density (θ>0) f(x)={θ1x(1/θ)−100≤x≤1 Otherwise Show
4 Let X1,⋯,Xn be an random variables from a distribution with density (θ>0) f(x)={θ1x(1/θ)−100≤x≤1 Otherwise Show that a) Xˉ→P1+θ1. b) Find the limiting distribution for θ^=Xˉ1−Xˉ. (Hint: use CLT and delta method) (10 pts)
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