A comparison of pivotal sampling and unequal probability sampling with\n replacement

2016/09/09 by Guillaume Chauvet, Chauvet, Guillaume, Anne Ruiz‐Gazen +1
Computer Science · Decision Sciences · Mathematics · #Advanced Statistical Process Monitoring #Applications (stat.AP) #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST) #Survey Sampling and Estimation Techniques

paper · pdf · doi:10.48550/arxiv.1609.02688

openalex publication_date 2016/09/09 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We prove that any implementation of pivotal sampling is more efficient than\nmultinomial sampling. This property entails the weak consistency of the\nHorvitz-Thompson estimator and the existence of a conservative variance\nestimator. A small simulation study supports our findings.\n

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