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Quantile estimation under successive sampling

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Abstract

This paper deals with the estimation, under sampling in two successive occasions, of a finite population quantile. For this sampling design a class of estimators is proposed whose the ratio and difference estimators are particular cases. Asymptotic variance formulae are derived for the proposed estimators, and the optimal matching fraction is discussed. Comparisons are made with existing estimators in a simulation study using a natural population.

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Acknowledgements

The authors would like to thank the referees for their many helpful comments and suggestions. Research partially supported by MCYT (Spain) contract number BFM2001-3190.

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Authors and Affiliations

  1. Department of Statistics & OR, University of Granada, Spain

    M. D. Martínez-Miranda, M. Rueda-Garcia, A. Arcos-Cebrián & Y. Román-Montoya

  2. Department of Statistics, University of Jaén, Spain

    S. Gonzalez-Aguilera

Authors
  1. M. D. Martínez-Miranda
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  2. M. Rueda-Garcia
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  3. A. Arcos-Cebrián
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  4. Y. Román-Montoya
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  5. S. Gonzalez-Aguilera
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Martínez-Miranda, M.D., Rueda-Garcia, M., Arcos-Cebrián, A. et al. Quantile estimation under successive sampling. Computational Statistics 20, 385–399 (2005). https://doi.org/10.1007/BF02741304

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