Communications for Statistical Applications and Methods

  • 제21권5호
  • /
  • Pages.363-386
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  • 2014
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Estimation of Median in the Presence of Three Known Quartiles of an Auxiliary Variable

  • Singh, Housila P. (School of Studies in Statistics, Vikram University) ;
  • Shanmugam, Ramalingam (School of Health Administration, Texas State University) ;
  • Singh, Sarjinder (Department of Mathematics, Texas A&M University-Kingsville) ;
  • Kim, Jong-Min (Statistics Discipline, University of Minnesota at Morris)
  • 투고 : 2013.10.17
  • 심사 : 2014.09.04
  • 발행 : 2014.09.30
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초록

This paper has improved several ratio type estimators of the population median including their generalization in the presence of three known quartiles of an auxiliary variable. The properties of the improved estimators are discussed and applied. Both the empirical and simulation studies confirm that our new estimators perform efficiently.

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참고문헌

  1. Allen, J., Singh, H. P., Singh, S. and Smarandache, F. (2002). A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling, In Randomness and Optimal Estimation in Data Sampling, Amer. Res. Press, Rehoboth, New Mexico, USA 26-43.
  2. Arcos, A., Rueda, M. and Martinez-Miranda, M. D. (2005). Using multiparametric auxiliary information at the estimation stage, Statistical Papers, 46, 339-358. https://doi.org/10.1007/BF02762838
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  12. Rueda, M. M., Arcos, A., Martinez-Miranda, M. D. and Roman, Y. (2004). Some improved estimators of finite population quantile using auxiliary information in sample surveys, Computational Statistics and Data Analysis, Elsevier, 45, 825-848. https://doi.org/10.1016/S0167-9473(03)00097-5
  13. Rueda, M. D. M. and Arcos, A. (2002). The use of quantiles of auxiliary variables to estimate medians, Biom. J., 44, 619-632. https://doi.org/10.1002/1521-4036(200207)44:5<619::AID-BIMJ619>3.0.CO;2-D
  14. Rueda, M., Arcos, A., Gonzalez-Aguilera, S., Martinez-Miranda, M. D., Roman, Y. and Martinez-Puertas, S. (2005). Ratio methods to the mean estimation with known quantiles, App. Math. Compu., 170, 1031-1044. https://doi.org/10.1016/j.amc.2005.01.008
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  23. Singh, S., Joarder, A. H. and Tracy, D. S. (2001). Median estimation using double sampling, Aust. & New Zealand J. Statist., 43, 33-46. https://doi.org/10.1111/1467-842X.00153
  24. Singh, S. and Puertas, S. M. (2003). On the estimation of total, mean and distribution function using two-phase sampling: Calibration approach, Jour. Ind. Soc. Ag. Stat., 56, 237-252.
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