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A variance bound for unbiased estimation in inverse sampling without replacement. (English) Zbl 1408.62022

Summary: In this paper we derive a bound for the variance of unbiased estimator of the finite population proportion under inverse sampling without replacement.

MSC:

62D05 Sampling theory, sample surveys
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References:

[1] Espejo, MR; Singh, HP; Saxena, S., On inverse sampling without replacement, Stat Pap, 49, 133-137, (2008) · Zbl 1152.62006 · doi:10.1007/s00362-006-0376-x
[2] Kendall MG, Stuart A (1967) The advanced theory of statistics, 2nd edn. Griffin, London · Zbl 0416.62001
[3] Mikulsky, PW; Smith, PJ, A variance bound for unbiased estimation in inverse sampling, Biometrika, 63, 216-217, (1976) · Zbl 0326.62024 · doi:10.1093/biomet/63.1.216
[4] Sathe, YS, Sharper variance bounds for unbiased estimation in inverse sampling, Biometrika, 64, 425-426, (1977) · Zbl 0362.62033 · doi:10.1093/biomet/64.2.425
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