Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Efficient Use of Auxiliary Variables in Estimating Finite Population Variance in Two-Phase Sampling

  • Singh, Housila P. (School of Studies in Statistics, Vikram University) ;
  • Singh, Sarjinder (Department of Mathematics, Texas A&M University) ;
  • Kim, Jong-Min (Statistics Discipline Division of Science and Mathematics, University of Minnesota)
  • Received : 20100100
  • Accepted : 20100200
  • Published : 2010.03.31
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Abstract

This paper presents some chain ratio-type estimators for estimating finite population variance using two auxiliary variables in two phase sampling set up. The expressions for biases and mean squared errors of the suggested c1asses of estimators are given. Asymptotic optimum estimators(AOE's) in each class are identified with their approximate mean squared error formulae. The theoretical and empirical properties of the suggested classes of estimators are investigated. In the simulation study, we took a real dataset related to pulmonary disease available on the CD with the book by Rosner, (2005).

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References

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Cited by

  1. A new procedure for variance estimation in simple random sampling using auxiliary information vol.54, pp.2, 2013, https://doi.org/10.1007/s00362-012-0445-2
  2. A Study on the Chain Ratio-Type Estimator of Finite Population Variance vol.2014, 2014, https://doi.org/10.1155/2014/723982
  3. The generalized family of estimators of population mean using auxiliary information in double sampling vol.45, pp.14, 2016, https://doi.org/10.1080/03610926.2014.882951