On Estimation of Finite Population Proportion

Details On Estimation of Finite Population Proportion On Estimation of Finite Population Proportion

2008-04-23

arxiv.org/abs/0804.3779v3

Mathematics

Statistics Theory

11 pages, no figure, added multistage fixed-width confidence interval method

Scientific paper

In this paper, we study the classical problem of estimating the proportion of a finite population. First, we consider a fixed sample size method and derive an explicit sample size formula which ensures a mixed criterion of absolute and relative errors. Second, we consider an inverse sampling scheme such that the sampling is continue until the number of units having a certain attribute reaches a threshold value or the whole population is examined. We have established a simple method to determine the threshold so that a prescribed relative precision is guaranteed. Finally, we develop a multistage sampling scheme for constructing fixed-width confidence interval for the proportion of a finite population. Powerful computational techniques are introduced to make it possible that the fixed-width confidence interval ensures prescribed level of coverage probability.

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