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Bivariate quantile residual life: a characterization theorem and statistical properties

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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. Ramesh Gupta, 2011. "Bivariate odds ratio and association measures," Statistical Papers, Springer, vol. 52(1), pages 125-138, February.
    2. 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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    6. Jorge Navarro & Jose Ruiz & Carlos Sandoval, 2008. "Properties of systems with two exchangeable Pareto components," Statistical Papers, Springer, vol. 49(2), pages 177-190, April.
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