International Society of Science and Applied Technologies |
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Universal Form of Bivariate Reliability Functions | ||||
Author | Jerzy K. Filus
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Co-Author(s) | Lidia Z. Filus
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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.
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Keywords | bivariate survival (reliability) functions, their universal representation, the stochastic models construction, methods competitive to the copula methodology, system reliability models | |||
Article #: RQD25-137 |
August 1-3, 2019 - Las Vegas, NV, U.S.A. |