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Rayleigh distribution revisited via ranked set sampling

Author

Listed:
  • Sanku Dey

    (St. Anthony’s College)

  • Mahdi Salehi

    (University of Neyshabur)

  • Jafar Ahmadi

    (Ferdowsi University of Mashhad)

Abstract

This paper addresses the estimation of the parameter of Rayleigh distribution using different methods of frequentist and Bayesian estimation approaches based on different sampling schemes namely, simple random sample, ranked set sample, modified ranked set sample and median ranked set sample. Comparison between estimators is made through simulation via their biases, relative efficiency, and Pitman measures of closeness criteria under both perfect and imperfect ranking. The performance of the estimators based on ranked set sample and median ranked set sample are better than the other estimators based on simple random sample and also modified ranked set sample.

Suggested Citation

  • Sanku Dey & Mahdi Salehi & Jafar Ahmadi, 2017. "Rayleigh distribution revisited via ranked set sampling," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 69-85, April.
    • Handle: RePEc:spr:metron:v:75:y:2017:i:1:d:10.1007_s40300-016-0099-2
    DOI: 10.1007/s40300-016-0099-2
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    References listed on IDEAS

    as
    1. Walid Abu-Dayyeh & Aissa Assrhani & Kamarulzaman Ibrahim, 2013. "Estimation of the shape and scale parameters of Pareto distribution using ranked set sampling," Statistical Papers, Springer, vol. 54(1), pages 207-225, February.
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    Cited by:

    1. Wenshu Qian & Wangxue Chen & Xiaofang He, 2021. "Parameter estimation for the Pareto distribution based on ranked set sampling," Statistical Papers, Springer, vol. 62(1), pages 395-417, February.
    2. Heba F. Nagy & Amer Ibrahim Al-Omari & Amal S. Hassan & Ghadah A. Alomani, 2022. "Improved Estimation of the Inverted Kumaraswamy Distribution Parameters Based on Ranked Set Sampling with an Application to Real Data," Mathematics, MDPI, vol. 10(21), pages 1-19, November.
    3. Mohamed S. Abdallah & Amer I. Al-Omari & Naif Alotaibi & Ghadah A. Alomani & A. S. Al-Moisheer, 2022. "Estimation of distribution function using L ranked set sampling and robust extreme ranked set sampling with application to reliability," Computational Statistics, Springer, vol. 37(5), pages 2333-2362, November.

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