Suppose that Y_1,Y_2,Y_3 denote a random sample from anexponential distribution with density function f(y)=(\frac{1}{\lambda})\cdot e^{\frac{-y}{\thet

Ernstfalld

Ernstfalld

Answered question

2021-02-02

Suppose that Y1,Y2,Y3 denote a random sample from anexponential distribution with density function f(y)=(1λ)eyθ,y>0
=0 elsewhere
Consider the following five estimators of θ:
θ^1=Y1,θ^2=Y1+Y22,θ^3=Y1+2Y23,θ^4=Y
a) Which of these estimators are unbiased?
b) Among the unbiased estimators, which has the smallest variance?

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-02-03Added 107 answers

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