2. Let Xi,... ,Xn be a random sample from a distribution with p.d.f for 0 <...

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2. Let Xi,... ,Xn be a random sample from a distribution with p.d.f for 0 < x < θ f(x; 0) - 0 elsewhere . (a) Find an estimator for θ using the method of moments. (b) Find the variance of your estimator in (a).

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TOPIC: Method of Moment Estimator.

321 ali ewrs 0 :@ We hadeシ 9 =E(x) 9 3 3 Y 493 - 38 4 X 3 从_ 38 . 3 A0 Metho d mome nt estimaton Replasivg hepla ton mean b the 4 m MoM 3 ondet sample momen mom as constant. we have Var () Co-vaniay te rams vanish dua to va几(x; ndependence 9-1 39 5 30 e 5 S o

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