201. On the extension of signature-based representations for coherent systems with dependent non-exchangeable components
- Author
-
Jorge Navarro and Juan Fernández-Sánchez
- Subjects
Statistics and Probability ,Discrete mathematics ,Independent and identically distributed random variables ,Class (set theory) ,General Mathematics ,Reliability (computer networking) ,010102 general mathematics ,Copula (linguistics) ,Extension (predicate logic) ,01 natural sciences ,Signature (logic) ,010104 statistics & probability ,0101 mathematics ,Statistics, Probability and Uncertainty ,Representation (mathematics) ,Mathematics - Abstract
The signature representation shows that the reliability of the system is a mixture of the reliability functions of the k-out-of-n systems. The first representation was obtained for systems with independent and identically distributed (IID) components and after it was extended to exchangeable (EXC) components. The purpose of the present paper is to extend it to the class of systems with identically distributed (ID) components which have a diagonal-dependent copula. We prove that this class is much larger than the class with EXC components. This extension is used to compare systems with non-EXC components.
- Published
- 2020