Question

Given random variable Y, E(Y) = theta Var(Y) = (theta^2)/50 theta hat = bY where b<...

Given random variable Y,

E(Y) = theta

Var(Y) = (theta^2)/50

theta hat = bY where b< 1

MSE(theta hat) = (11 * theta^2)/512

Find b

Math   Statistics-And-Probability   
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Answer #1

So here we get two choices of b , 0.9375 and 1.0233

But given that b<1 , so we will take b=0.9375 as our correct answer .

b = 0.9375

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