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Estimation of population variance in successive sampling

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Abstract

This paper proposes a class of estimators of finite population variance in successive sampling on two occasions and analyzes its properties. Isaki (J Am Stat Assoc 78:117–123, 1983) motivated to consider the problem of estimation of finite population variance in survey sampling, and its extension to the case of successive sampling is much interesting, and the theory developed here will be helpful to those involved in such analysis in future. To our knowledge this is the first attempt made by the authors in this direction. An empirical study based on real populations and moderate sample sizes demonstrates the usefulness of the proposed methodology. In addition, this paper also presents a through review on successive sampling.

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Authors and Affiliations

  1. School of Studies in Statistics, Vikram University, Ujjain, 456010, MP, India

    Housila P. Singh & Ritesh Tailor

  2. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA

    Sarjinder Singh

  3. Statistics, Division of Science and Mathematics, University of Minnesota – Morris, Morris, MN, 56267, USA

    Jong-Min Kim

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  1. Housila P. Singh
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  2. Ritesh Tailor
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  3. Sarjinder Singh
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Correspondence to Jong-Min Kim.

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Singh, H.P., Tailor, R., Singh, S. et al. Estimation of population variance in successive sampling. Qual Quant 45, 477–494 (2011). https://doi.org/10.1007/s11135-009-9309-9

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