A comparison of pivotal sampling and unequal probability sampling with replacement

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• 作者：Guillaume Chauvet ^{chauvet@ensai.fr}
• 关键词：Cube method ; Mean-square consistency ; Sampling algorithm ; Unequal probabilities ; Variance estimator ; With-replacement sampling
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：121
• 期：Complete
• 页码：1-5
• 全文大小：384 K
• 卷排序：121

文摘

We prove that any implementation of pivotal sampling is more efficient than multinomial sampling. This yields the weak consistency of the Horvitz–Thompson estimator and the existence of a conservative variance estimator. A small simulation study supports our findings.