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Statistical Papers

, Volume 60, Issue 6, pp 2001–2012 | Cite as

Bivariate quantile residual life: a characterization theorem and statistical properties

  • M. Shafaei Noughabi
  • M. KayidEmail author
Regular Article

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

Keywords

Bivariate reliability model Bivariate \(\alpha \)-quantile residual life Bivariate failure rate bivariate life distribution 

Mathematics Subject Classification

60E15 62N05 

Notes

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Statistics and Operations Research College of ScienceKing Saud University RiyadhRiyadhSaudi Arabia
  2. 2.Department of Mathematics and StatisticsUniversity of GonabadGonabadIran
  3. 3.Department of Mathematics and Computer ScienceFaculty of Science, Suez UniversitySuezEgypt

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