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Chain ratio and regression type estimators for median estimation in survey sampling

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Abstract

In this paper, we consider chain ratio and regression type estimators for estimating median in survey sampling. We find expressions for the variance of the chain-ratio and chain-regression type estimators considered in the present investigation. The optimum values of the first phase and second phase sample sizes are also obtained for the fixed cost of survey. The relative efficiency of chain-ratio and chain-regression type estimators have been studied in comparison to ratio and regression type estimators of median proposed by Singh, Joarder and Tracy (2001).

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Authors and Affiliations

  1. Department of Statistics, St. Cloud State University, 56301-4498, St. Cloud, MN, USA

    Sarjinder Singh

  2. School of Studies in Statistics, Vikram University, 456010, Ujjain, M.P., India

    Housila P. Singh

  3. Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, India

    Lakshmi N. Upadhyaya

Authors
  1. Sarjinder Singh
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  2. Housila P. Singh
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  3. Lakshmi N. Upadhyaya
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Singh, S., Singh, H.P. & Upadhyaya, L.N. Chain ratio and regression type estimators for median estimation in survey sampling. Statistical Papers 48, 23–46 (2007). https://doi.org/10.1007/s00362-006-0314-y

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  • DOI: https://doi.org/10.1007/s00362-006-0314-y

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