Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Modified Ranked Ordering Set Samples for Estimating the Population Mean

  • Kim, Hyun-Gee (Department of Statistics, Pusan National University) ;
  • Kim, Dong-Hee (Department of Statistics, Statistical Research Institute, Pusan National University)
  • Published : 2007.12.31
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Abstract

We propose the new sampling method, called modified ranked ordering set sampling (MROSS). Kim and Kim (2003) suggested the sign test using the ranked ordering set sampling (ROSS), and showed that the asymptotic relative efficiency (ARE) of ROSS against RSS for sign test increases as sample size does. We propose the estimator for the population mean using MROSS. The relative precision (RP) of estimator of the population mean using MROSS method with respect to the usual estimator using modified RSS is higher, and when the underlying distribution is skewed, the bias of the proposed estimator is smaller than that of several ranked set sampling estimators.

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References

  1. Dell, T. R. and Clutter, J. L. (1972). Ranked set sampling theory with order statistics background. Biometrics, 28, 545-555 https://doi.org/10.2307/2556166
  2. Kim, D. H. and Kim(, H. G. (2003). Sign test using ranked ordering-set sampling. Journal of Nonparametric Statistics, 15, 303-309 https://doi.org/10.1080/1048525031000078330
  3. McIntyre, G. A. (1952). A method of unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research, 3, 385-390 https://doi.org/10.1071/AR9520385
  4. Muttlak, H. A. (2003). Modified ranked set sampling. Parkistan Journal of Statistics, 3, 315-323
  5. Muttlak H. A. and Abu-Dayyeh, W. (2004). Weight modified ranked set sampling methods. Applied Mathematics and computation, 151, 645-657 https://doi.org/10.1016/S0096-3003(03)00367-9
  6. Samawi, H., Abu-Dayyeh, W. and Ahmed, S. (1996). Extreme ranked set sampling. Biometrical Journal, 30, 577-586
  7. Sinha, B. K., Sinha, B. K. and Purkayastha, S. (1996). On some aspects ofranked set sampling for estimaton of normal and exponential parameters. Statistics Decisions, 14, 223-240