3) Suppose that X and X are random samples of observations from a population with u...
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3) Suppose that X₁ and X₂ are random samples of observations from a population with u and variance ². Consider the following three estimators W, Y and Z of μ. W = 1 1 X₁ + X₂ 3 1 Y = X₁ + X₂ 1 2 Z = 3X₁ + 3X₂ i) Show that all three estimators are unbiased. ii) Find the best estimator for μ. 3) Suppose that X₁ and X₂ are random samples of observations from a population with u and variance ². Consider the following three estimators W, Y and Z of μ. W = 1 1 X₁ + X₂ 3 1 Y = X₁ + X₂ 1 2 Z = 3X₁ + 3X₂ i) Show that all three estimators are unbiased. ii) Find the best estimator for μ.
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Related Book For
Statistics For Business And Economics
ISBN: 9780132745659
8th Edition
Authors: Paul Newbold, William Carlson, Betty Thorne
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