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Bivariate quantile residual life: a characterization theorem and statistical properties

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Abstract

The concept of \(\alpha \)-quantile residual life measure plays an important role in statistics, reliability and life testing. In this investigation, the bivariate \(\alpha \)-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

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Acknowledgements

The authors are deeply grateful to the Editor-in-Chief and two anonymous referees for their careful detailed remarks, which helped improve both content and presentation of the paper. The support of university of Gonabad for work of the first author under grant No. 93–8 is gratefully acknowledged. The work of the second author was supported by King Saud University, Deanship of Scientific Research, College of Science, Research Center.

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Authors and Affiliations

  1. Department of Statistics and Operations Research College of Science, King Saud University Riyadh, Riyadh, Saudi Arabia

    M. Kayid

  2. Department of Mathematics and Statistics, University of Gonabad, Gonabad, Iran

    M. Shafaei Noughabi

  3. Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, 41522, Egypt

    M. Kayid

Authors
  1. M. Shafaei Noughabi
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  2. M. Kayid
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Correspondence to M. Kayid.

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Noughabi, M.S., Kayid, M. Bivariate quantile residual life: a characterization theorem and statistical properties. Stat Papers 60, 2001–2012 (2019). https://doi.org/10.1007/s00362-017-0905-9

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  • DOI: https://doi.org/10.1007/s00362-017-0905-9

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