Question: Let y 1 , y 2 , . . . , y n be a random sample of n observations from an exponential distribution with

Let y1, y2, . . . , yn be a random sample of n observations from an exponential distribution with density

y/B if y> 0 f(y) = otherwisea. Find the moment estimator of β.
b. Is the moment estimator unbiased?
c. Find V(β̂ ).

y/B if y> 0 f(y) = otherwise

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