Question: Let y 1 , y 2 , . . . , y n denote a random sample from a uniform distribution with probability density a.

Let y1, y2, . . . , yn denote a random sample from a uniform distribution with probability density

[1 if e s ys 0 + 1 0 elsewhere

a. Show that y̅ is a biased estimator of θ, and compute the bias.
b. Find V(y̅).
c. What function of y̅ is an unbiased estimator of θ?    

[1 if e s ys 0 + 1 0 elsewhere

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