Bivariate quantile residual life: a characterization theorem and statistical properties
- 177 Downloads
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
KeywordsBivariate reliability model Bivariate \(\alpha \)-quantile residual life Bivariate failure rate bivariate life distribution
Mathematics Subject Classification60E15 62N05
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.