[問題] 96年成大統研機率(數統)問題
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Xn and Sn^2 are the sample mean and variance of a random
sample with size n drawn from a population with
E(X^k) <∞ , ∀k<∞ , which of the following statements is (are) true ?
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i. Xn and Sn^2 are independent.
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ii. Xn and Sn^2 are asymptotically indpendent.
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iii. Xn and Sn^2 are asymptotically uncorrelated.
i我是想說用Basu's theorem,可是題目沒有敘述是normal
ii和iii是想用若獨立則必不相關來選擇
敘述中的漸進不知道該用何種定理去解釋
請問有高手可以幫忙嗎><
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※ 編輯: tokyo291 來自: 218.175.101.35 (01/06 01:57)
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