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
Posted: Thu Jul 14, 2022 4:51 pm
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)