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(Solved): In Exercise 8.8, we considered a random sample of size 3 from an exponential distribution with densi ...



In Exercise 8.8, we considered a random sample of size 3 from an exponential distribution with density function given by f (y) = $ (1/θ)e−y/θ , 0 < y, 0, elsewhere, and determined that θˆ 1 = Y1, θˆ 2 = (Y1 +Y2)/2, θˆ 3 = (Y1 +2Y2)/3, and θˆ 5 = Y are all unbiased estimators for θ. Find the efficiency of θˆ 1 relative to θˆ 5, of θˆ 2 relative to θˆ 5, and of θˆ 3 relative to θˆ 5.



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