응용통계연구 (The Korean Journal of Applied Statistics)

  • 제25권4호
  • /
  • Pages.681-695
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  • 2012
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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Families of Estimators of Finite Population Variance using a Random Non-Response in Survey Sampling

  • Singh, Housila P. (School of Studies in Statistics, Vikram University) ;
  • Tailor, Rajesh (School of Studies in Statistics, Vikram University) ;
  • Kim, Jong-Min (Statistics Discipline, Division of Science and Mathematics, University of Minnesota-Morris) ;
  • Singh, Sarjinder (Department of Mathematics, Texas A&M University-Kingsville)
  • 투고 : 2012.06.03
  • 심사 : 2012.06.07
  • 발행 : 2012.08.31
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초록

In this paper, a family of estimators for the finite population variance investigated by Srivastava and Jhajj (1980) is studied under two different situations of random non-response considered by Tracy and Osahan (1994). Asymptotic expressions for the biases and mean squared errors of members of the proposed family are obtained; in addition, an asymptotic optimum estimator(AOE) is also identified. Estimators suggested by Singh and Joarder (1998) are shown to be members of the proposed family. A correction to the Singh and Joarder (1998) results is also presented.

키워드

참고문헌

  1. Isaki, C. T. (1983). Variance estimation using auxiliary information, Journal of the American Statistical Association, 7, 117-123.
  2. Singh, S. (2003). Advanced Sampling Theory with Applications: How Michael Selected Amy, Kluwer Academic Publishers, The Netherlands.
  3. Singh, S. and Joarder, A. H. (1998). Estimation of finite population variance using random non-response in survey sampling, Metrika, 98, 241-249.
  4. Singh, S., Joarder, A. H. and Tracy, D. S. (2000). Regression type estimators for random non-response in survey sampling, Statistica, LX, 1, 39-44.
  5. Srivastava, S. K. and Jhajj, H. S. (1980). A class of estimators using auxiliary information for estimating finite population variance, Sankhy, C, 42, 1-2, 87-96.
  6. Tracy, D. S. and Osahan, S. S. (1994). Random non-response on study variable versus on study as well as auxiliary variables, Statistica, 54, 163-168.

피인용 문헌

  1. Effectual variance estimation strategy in two-occasion successive sampling in presence of random non response vol.46, pp.14, 2017, https://doi.org/10.1080/03610926.2016.1146769
  2. Some efficient classes of estimators of population mean in two-phase successive sampling under random non response 2017, https://doi.org/10.1080/03610926.2017.1291973
  3. Estimation of population mean in presence of random non response in two-stage cluster sampling pp.1532-415X, 2018, https://doi.org/10.1080/03610926.2018.1478101
  4. An effective estimation strategy for population mean under random non-response situations in two-phase successive sampling vol.47, pp.19, 2018, https://doi.org/10.1080/03610926.2018.1444179
  5. Estimation of Population Variance Under an Imputation Method in Two-Phase Sampling pp.2250-1762, 2019, https://doi.org/10.1007/s40010-018-0572-9
  6. Effective Estimation Strategy of Population Variance in Two-Phase Successive Sampling Under Random Non-response vol.13, pp.1, 2019, https://doi.org/10.1007/s42519-018-0010-y