ppose you have two independent unbiased estimators of the same parameter, θ, say θandθ, with different variances, v ∧ 1 ∧ 2 1 and v2. What linear combination, = cθ∧ 1θ∧ 1+ c2θ∧ 2 is the minimum variance unbiased estimator of θ?

ppose you have two independent unbiased estimators of the same parameter, θ, say θandθ, with different variances, v ∧ 1 ∧ 2 1 and v2. What linear combination, = cθ∧ 1θ∧ 1+ c2θ∧ 2 is the minimum variance unbiased estimator of θ?

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter1: Introducing The Economic Way Of Thinking

Section1.A: Applying Graphs To Economics

Problem 6SQ

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Question

Subject: Economics

1. Suppose you have two independent unbiased estimators of the same parameter, θ, say θandθ, with different variances, v ∧ 1 ∧ 2 1 and v2. What linear combination, = cθ∧ 1θ∧ 1+ c2θ∧ 2 is the minimum variance unbiased estimator of θ?

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