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EDF-based tests of exponentiality in pair ranked set sampling

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  • Ehsan Zamanzade

    (University of Isfahan)

Abstract

In this paper, we develop a nonparameteric cumulative distribution function (CDF) estimator for pair ranked set sampling (PRSS) design. We show that the proposed estimator is consistent and establish its asymptotic normality. We then use the proposed estimator for developing some goodness of fit tests for testing exponentiality. We show that the proposed tests are more powerful than their counterparts in simple random sampling (SRS) and ranked set sampling (RSS) schemes.

Suggested Citation

  • Ehsan Zamanzade, 2019. "EDF-based tests of exponentiality in pair ranked set sampling," Statistical Papers, Springer, vol. 60(6), pages 2141-2159, December.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:6:d:10.1007_s00362-017-0913-9
    DOI: 10.1007/s00362-017-0913-9
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    References listed on IDEAS

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    1. Cem Kadilar & Yesim Unyazici & Hulya Cingi, 2009. "Ratio estimator for the population mean using ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 301-309, March.
    2. Zamanzade, Ehsan & Vock, Michael, 2015. "Variance estimation in ranked set sampling using a concomitant variable," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 1-5.
    3. Steven N. MacEachern & Ömer Öztürk & Douglas A. Wolfe & Gregory V. Stark, 2002. "A new ranked set sample estimator of variance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 177-188, May.
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    Cited by:

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    3. Judith H. Parkinson-Schwarz & Arne C. Bathke, 2022. "Testing for equality of distributions using the concept of (niche) overlap," Statistical Papers, Springer, vol. 63(1), pages 225-242, February.
    4. Manal M. Yousef & Amal S. Hassan & Abdullah H. Al-Nefaie & Ehab M. Almetwally & Hisham M. Almongy, 2022. "Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling," Mathematics, MDPI, vol. 10(17), pages 1-26, August.
    5. 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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