Let Y1, Y2, . . ., Yn be a random sample from a uniform distribution on...

Let Y₁, Y₂, . . ., Y_n be a random sample from a uniform distribution on the interval (θ - 2, θ).

a) Show that Ȳ is a biased estimator of θ. Calculate the bias.

b) Calculate MSE( Ȳ).

c) Find an unbiased estimator of θ.

d) What is the mean square error of your unbiased estimator?

e) Is your unbiased estimator a consistent estimator of θ?

Expert Solution

TOPIC:Estimators.

orchestra answered 1 year ago

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