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- W2022105873 abstract "Abstract The problem of unbiased estimation of the parameter θ in the binomial and Poisson distributions is considered. The variance of the estimate is required not to exceed a preassigned bound, B. For the Poisson distribution this can be achieved only by sequential sampling and also in the binomial case sequential sampling may reduce the expected sample size. Here only two-stage sampling is considered. The methods of estimation discussed differ from earlier considered two-stage methods [1], in that the preliminary sample is not used only to determine the size of the second sample, but is also directly used in estimating the parameter. In the binomial case the present method always yields a saving of observations, as compared with the methods of [1]. The total expected sample size for is only slightly greater than 1/4B, which is the minimal fixed sample size necessary to achieve the same goal. For θ near zero or one the expected sample size is much smaller. For the Poisson case the present method is not uniformly better than that of [1]. Some numerical comparisons are given." @default.
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- W2022105873 date "1966-03-01" @default.
- W2022105873 modified "2023-10-18" @default.
- W2022105873 title "Estimators with Prescribed Bound on the Variance for the Parameters in the Binomial and Poisson Distributions, Based on Two-Stage Sampling" @default.
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- W2022105873 doi "https://doi.org/10.1080/01621459.1966.10502020" @default.
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