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Bivariate quantile residual life: a characterization theorem and statistical properties

Author

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  • M. Shafaei Noughabi

    (University of Gonabad)

  • M. Kayid

    (King Saud University Riyadh
    Faculty of Science, Suez University)

Abstract

The concept of $$\alpha $$ α -quantile residual life measure plays an important role in statistics, reliability and life testing. In this investigation, the bivariate $$\alpha $$ α -quantile residual life measure has been proposed and studied. It has been shown that two suitable bivariate quantile residual life characterize the underlying distribution uniquely. Moreover, some concerned statistical and reliability properties have been proven

Suggested Citation

  • M. Shafaei Noughabi & M. Kayid, 2019. "Bivariate quantile residual life: a characterization theorem and statistical properties," Statistical Papers, Springer, vol. 60(6), pages 2001-2012, December.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:6:d:10.1007_s00362-017-0905-9
    DOI: 10.1007/s00362-017-0905-9
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    References listed on IDEAS

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    1. Harry Joe & Frank Proschan, 1984. "Percentile Residual Life Functions," Operations Research, INFORMS, vol. 32(3), pages 668-678, June.
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    5. Ramesh Gupta, 2011. "Bivariate odds ratio and association measures," Statistical Papers, Springer, vol. 52(1), pages 125-138, February.
    6. Rosa E. Lillo, 2005. "On the median residual lifetime and its aging properties: A characterization theorem and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 370-380, June.
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