Suppose that n = 5 observations are taken from the uniform pdf, fY (y; ) = 1/,
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Suppose that n = 5 observations are taken from the uniform pdf, fY (y; θ) = 1/θ, 0 ≤ y ≤ θ, where θ is unknown. Two unbiased estimators for θ are ˆθ1 = 6/5・Ymax and ˆθ2 = 6・Ymin
Which estimator would be better to use? [What must be true of Var(Ymax) and Var(Ymin) given that fY(y; θ) is symmetric?] Does your answer as to which estimator is better make sense on intuitive grounds? Explain.
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Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
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