THE INCLUSION PROBABABILITIES OF MEDIAN RANKED SET SAMPLING UNDER DIFFERENT SELECTION PROCEDURES

THE INCLUSION PROBABABILITIES OF MEDIAN RANKED SET SAMPLING UNDER DIFFERENT SELECTION PROCEDURES

Abstract. In this paper, we developed generalized formulas to compute the inclusion probabilities of a median ranked set sample in a finite population setting under Level 0 and Level 2 sampling procedures given by Deshpande et al.(2006). We also compared the inclusion probabilities of these sampling procedures with the inclusion probabilities of Level 1 given by Ozdemir and Gokpinar(2008) under different population and sample sizes.

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  • Al-Saleh M.F., and Al-Omari, A. (2002). Multistage ranked set sampling. Statistical Planning and Inference 102:273-286.
  • Al Saleh, M.F., Samawi H.M. (2007). A note on inclusion probability in ranked set sampling and some of its variations. Sociedad de Estadistica e Investigacion Operativa 16:198-209.
  • Deshpande, J.V., Frey, J., Oztürk, O. (2006). Nonparametric ranked-set sampling con…dence intervals for quantiles of a …nite population. Environmental and Ecological Statistics 13:25-40.
  • McIntyre, G.A. (1952). A method of unbiased selective sampling, using ranked sets. Australian Journal of Agricaltural Research 3:385-390.
  • Muttlak, H.A. (1997). Median ranked set sampling. Applied Statistical Science 6:245-255.
  • Ozdemir, Y.A., Gokpinar, F. (2007). A Generalized formula for inclusion probabilities in ranked set sampling. Hacettepe University Bulletin of Natural Sciences & Engineering Series B: Mathematics & Statistics 36:89-99.
  • Ozdemir, Y.A., Gokpinar, F. (2008). A new Formula for inclusion probabilities in median ranked set Sampling. Communications In Statistics:Theory and Methods. 37, 2022-2033.
  • Samawi ,H.M., Ahmed, M.S. and Abu-Dayyeh, W. (1996). Estimation the population mean using extreme ranked set sampling. Biometrical Journal 38:577-586.
  • Takahasi, K., Futatsuya, M. (1988). Ranked set sampling from a …nite population. Proceeding of the Institute Statistical Mathematics 36:55-68.