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Perfect ranking test in moving extreme ranked set sampling

Author

Listed:
  • Hamid Rahmani

    (Ferdowsi University of Mashhad)

  • Mostafa Razmkhah

    (Ferdowsi University of Mashhad)

Abstract

The problem of testing perfect rankings in moving extreme ranked set sampling is studied. The most powerful rank test as well as some other rank-based tests are introduced and they are compared in view of the power criterion. An estimation problem is also investigated under both perfect and imperfect rankings models. It is shown that even under imperfect rankings, the moving extreme ranked set sampling may be more efficient than the simple random sampling scheme.

Suggested Citation

  • Hamid Rahmani & Mostafa Razmkhah, 2017. "Perfect ranking test in moving extreme ranked set sampling," Statistical Papers, Springer, vol. 58(3), pages 855-875, September.
    • Handle: RePEc:spr:stpapr:v:58:y:2017:i:3:d:10.1007_s00362-015-0729-4
    DOI: 10.1007/s00362-015-0729-4
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    References listed on IDEAS

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    1. Chen, Wangxue & Xie, Minyu & Wu, Ming, 2013. "Parametric estimation for the scale parameter for scale distributions using moving extremes ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 2060-2066.
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    4. Frey, Jesse & Wang, Le, 2013. "Most powerful rank tests for perfect rankings," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 157-168.
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    6. Ahmed N Albatineh & B.M. Golam Kibria & Meredith L Wilcox & Bashar Zogheib, 2014. "Confidence interval estimation for the population coefficient of variation using ranked set sampling: a simulation study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(4), pages 733-751, April.
    7. Mohammad Al-Saleh & Said Al-Hadhrami, 2003. "Estimation of the mean of the exponential distribution using moving extremes ranked set sampling," Statistical Papers, Springer, vol. 44(3), pages 367-382, July.
    8. Walid Abu-Dayyeh & Esam Al Sawi, 2009. "Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 249-259, March.
    9. Mohammad Al-Saleh & Ahmad Al-Ananbeh, 2007. "Estimation of the means of the bivariate normal using moving extreme ranked set sampling with concomitant variable," Statistical Papers, Springer, vol. 48(2), pages 179-195, April.
    10. Zhang, Liangyong & Dong, Xiaofang & Xu, Xingzhong, 2014. "Sign tests using ranked set sampling with unequal set sizes," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 69-77.
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    Cited by:

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