A Procedure for Estimating the Variance of the Population Mean in Rejective Sampling
| Autor: | Marius Stefan, Michael A. Hidiroglou |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
021103 operations research
Monte Carlo method Statistics 0211 other engineering and technologies Sampling (statistics) Estimator Probability and statistics Sample (statistics) 02 engineering and technology Variance (accounting) 01 natural sciences HA1-4737 normality assumption 010104 statistics & probability Sample size determination Sampling design rejective sampling balanced sampling 0101 mathematics Mathematics |
| Zdroj: | Journal of Official Statistics, Vol 36, Iss 1, Pp 173-196 (2020) |
| ISSN: | 2001-7367 |
| Popis: | Rejective sampling was first introduced by Hájek in 1964 as a way to select a sample consisting uniquely of distinct units. If n denotes the fixed sample size, the n units are drawn independently with probabilities that may vary from unit to unit and the samples in which all units are not distinct are rejected. More generally, in rejective sampling, we select repeated samples according to a basic sampling design until a selected sample meets a specified balancing tolerance. Given a set of auxiliary variables, we consider a procedure in which the probability sample is rejected unless the sample mean of the auxiliary variables is within a specified distance of its corresponding population mean. The procedure represents an alternative to the well-known balanced cube method. In this article, we propose an estimator of the variance under the rejective sampling design. We also present the results of a Monte Carlo simulation study. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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