9. Let W be distributed as the binomial with parameters n and p. Two estimators proposed for p areWP₁and p2W + 1n+2n(a) Find the bias of p₁ and p2 and comment on them.(b) Find MSE(p1) and MSE(p2).(c) For what values of p is MSE(p2) > MSE(p1)

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Answered: 9. Let W be distributed as the binomial…

Linear Algebra: A Modern Introduction

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Author:David Poole

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Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

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9. Let W be distributed as the binomial with parameters n and p. Two estimators proposed for p are W P₁ and p₂ = W + 1 n+2 n (a) Find the bias of p₁ and p2 and comment on them. (b) Find MSE(p1) and MSE(p2). (c) For what values of p is MSE(p2) > MSE(p1)