Problem 3 Let X1, X2, X3, Xn be a random sample from a Uniform(0,0) distribution, where 0 i- 1... unknown. Define the estimator Ôn = max{X1, X2, , Xn}. %3D a. Find the bias of Ôn, B(Ô,). b. Find the MSE of Ôn, MSE(@n). c. Is O, a consistent estimator of 0?

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Problem 3
Let X1, X2, X3,
Xn be a random sample from a Uniform(0,0) distribution, where 0 i-
...
unknown. Define the estimator
Ôn = max{X1, X2, , Xn}.
a. Find the bias of Ôn, B(Ô,).
b. Find the MSE of Ôn, MSE(Ô,).
c. Is On a consistent estimator of 0?
Transcribed Image Text:Problem 3 Let X1, X2, X3, Xn be a random sample from a Uniform(0,0) distribution, where 0 i- ... unknown. Define the estimator Ôn = max{X1, X2, , Xn}. a. Find the bias of Ôn, B(Ô,). b. Find the MSE of Ôn, MSE(Ô,). c. Is On a consistent estimator of 0?
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