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Quality & Quantity

, Volume 45, Issue 3, pp 477–494 | Cite as

Estimation of population variance in successive sampling

  • Housila P. Singh
  • Ritesh Tailor
  • Sarjinder Singh
  • Jong-Min Kim
Article

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.

Keywords

Successive sampling Class of estimators Bias and Mean Square Error 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Housila P. Singh
    • 1
  • Ritesh Tailor
    • 1
  • Sarjinder Singh
    • 2
  • Jong-Min Kim
    • 3
  1. 1.School of Studies in StatisticsVikram UniversityUjjainIndia
  2. 2.Department of MathematicsTexas A&M University-KingsvilleKingsvilleUSA
  3. 3.Statistics, Division of Science and MathematicsUniversity of Minnesota – MorrisMorrisUSA

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