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Let Y1, Y2, …, Yndenote a random sample of size n from a population whose density...

Let Y1, Y2, …, Yndenote a random sample of size n from a population whose density is given by

f(y) = 5y^4/theta^5 0<y<theta

0 otherwise

a) Is an unbiased estimator of θ?

b) Find the MSE of Y bar

c) Find a function of that is an unbiased estimator of θ.

Math   Statistics-And-Probability   
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