Exercise2.8 Let T1 and T2 be twounbiasedestimatorsof . 1. Showthatforany , thelinearcombination T1+(1)T2 is alsounbiased. 2. Assume,
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Exercise2.8 Let T1 and T2 be twounbiasedestimatorsof θ.
1. Showthatforany α, thelinearcombination αT1+(1−α)T2 is alsounbiased.
2. Assume, inaddition,that T1 and T2 are independentwithvariances V1 and V2, respectively.Find the unbiasedestimatorwiththeminimalvarianceamongallunbiasedestimatorsfromthefirst paragraph. IsitnecessarilyanUMVUE?
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Related Book For 
Statistical Theory A Concise Introduction Texts In Statistical Science
ISBN: 9781032007458
2nd Edition
Authors: Felix Abramovich, Ya'acov Ritov
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