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機率比例抽樣設計之建構

當考慮不等機率抽樣設計時,若存在一輔助訊息與我們欲估計之未知量成比例,則機率比例抽樣設計(probability proportional to size sampling design),記為PPS機率抽樣設計,是一個不錯的選擇。Horvitz-Thompson估計量在 PPS 機率抽樣設計之下變異數較小。換句話說,可以更精確地估計母體總和。本文提出一個由Hedayat-Lin方法推廣而得之新演算法,利用本演算法可建構出一些PPS機率抽樣設計。此種設計不僅能不偏的估計Horvitz-Thompson估計量之變異數,且能確保此估計量為非負值。 / When unequal probability sampling design is under consideration, and when there exists auxiliary information which is proportional to the unknown quantity that we want to estimate, probability proportional to size sampling design, abbreviated as PPS sampling design, is a good choice.
Under PPS sampling design, Horvitz-Thompson estimator has small variance. In this paper, a new algorithm, which is a generalization of Hedayat-Lin's procedure, is given. Using this algorithm, a PPS(N, n) sampling design can be constructed. This design not only provides unbiased estimate of the variance of Horvitz-Thompson estimator but also assures its non-negativity.

Identiferoai:union.ndltd.org:CHENGCHI/A2002001145
Creators陳靜宜, Chen, Ching-Yi
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language中文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

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