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A new systematic ranked set-sampling scheme for symmetric distributions

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Abstract

In this paper, a new sampling scheme called systematic ranked set sampling for estimating the population mean is introduced. The performance of the proposed estimator is discussed along with its properties, and it is also shown that the new sampling scheme generates an unbiased estimator. The variance and percentage relative efficiency of the proposed estimator are computed using different symmetric distributions. It is observed from both simulation study and real data set that the new sampling scheme is more efficient than usual ranked set sampling and simple random-sampling schemes.

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References

  • Al-Nasser A (2007) L ranked set sampling: a generalization procedure for robust visual sampling. Commun Statist Simul Comput 36:33–43

    Article  MathSciNet  MATH  Google Scholar 

  • Al-Omari AI (2011) Estimation of mean based on modified extreme ranked set sampling. J Stat Comput Simul 81(8):1055–1066

    Article  MathSciNet  MATH  Google Scholar 

  • Al-Omari AI, Al-Saleh MF (2009) Quartile double ranked set sampling for estimating the population mean. Econ Qual Control 24:243–253

    Article  MathSciNet  MATH  Google Scholar 

  • Al-Saleh MF, Al-Kadiri MA (2000) Double-ranked set sampling. Stat Probab Lett 48(2):205–212

    Article  MathSciNet  MATH  Google Scholar 

  • Al-Saleh MF, Al-Omari AI (2002) Multistage ranked set sampling. J Stat Plan Inference 102:273–286

    Article  MathSciNet  MATH  Google Scholar 

  • Bani-Mustafa A, Al-Nasser A, Aslam M (2011) Folded ranked set sampling for asymmetric distributions. Commun Korean Stat Soc 18(1):147–153

    Google Scholar 

  • David HA, Nagaraja HN (2003) Order statistics, 3rd edn. Wiley, Hoboken

    Book  MATH  Google Scholar 

  • Khan L, Shabbir J (2016) A class of Hartley-Ross type unbiased estimators for population mean using ranked set sampling. Hacet J Math Stat 45(3):917–928

    MathSciNet  MATH  Google Scholar 

  • Khan L, Shabbir J, Gupta S (2017) Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacet J Math Stat 46(6):1151–1158

    MathSciNet  MATH  Google Scholar 

  • Mclntyre G (1952) A method for unbiased selective sampling, using ranked sets. Crop Pasture Sci 3(4):385–390

    Article  Google Scholar 

  • Muttlak HA (1996) Pair ranked set sampling. Biom J 38(7):879–885

    Article  MATH  Google Scholar 

  • Muttlak HA (1997) Median ranked set sampling. J Appl Stat Sci 6:245–255

    MATH  Google Scholar 

  • Muttlak HA (2003) Modified ranked set sampling. Pak J Stat 19.3(4):315–323

    MathSciNet  MATH  Google Scholar 

  • Samawi HM, Abu-Dayyeh W, Ahmed MS (1996) Estimating the population mean using extreme ranked set sampling. Biom J 38:577–586

    Article  MATH  Google Scholar 

  • Takahasi K, Wakimoto K (1968) On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann Inst Stat Math 20(1):1–31

    Article  MATH  Google Scholar 

  • Valliant R, Dorfman A, Royall R (2000) Finite population sampling and inference: a prediction approach. Wiley series in probability and statistics: survey methodology section. Wiley, New York

    MATH  Google Scholar 

  • Zamanzade E, Al-Omari AI (2016) New ranked set sampling for estimating the population mean and variance. Hacet J Math Stat 46(6):1891–1905

    MathSciNet  MATH  Google Scholar 

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Correspondence to Lakhkar Khan.

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Khan, L., Shabbir, J. & Khalil, U. A new systematic ranked set-sampling scheme for symmetric distributions. Life Cycle Reliab Saf Eng 8, 205–210 (2019). https://doi.org/10.1007/s41872-019-00080-5

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  • DOI: https://doi.org/10.1007/s41872-019-00080-5

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