Universal Form of Bivariate Reliability Functions  
Author Jerzy K. Filus


Co-Author(s) Lidia Z. Filus


Abstract We discuss a new method for description and construction of any bivariate survival (reliability) function given its two marginals. The constructed bivariate survival functions are given in a product form which is universal so each bivariate model can be expressed in this form when the marginals are initially given. This, relatively simple, approach appears to be competitive to the copula methodology [8]. Regardless of its generality, the main framework we put the new theory in, is formulated in terms of reliability of two dependent components system. As the main example of the underlying random variables we use the component life-times.


Keywords bivariate survival (reliability) functions, their universal representation, the stochastic models construction, methods competitive to the copula methodology, system reliability models
    Article #:  RQD25-137
Proceedings of 25th ISSAT International Conference on Reliability & Quality in Design
August 1-3, 2019 - Las Vegas, NV, U.S.A.