Birnbaum joint importance measures for three components of a repairable multistate systems
https://doi.org/10.21683/1729-2646-2023-23-3-3-13
Abstract
In this paper new measures of joint importance of two and three components for repairable multistate systems based on the classical Birnbaum measure, are proposed. By considering repairable system, first joint relevancy conditions of two and three components are given. Then probabilities of each of the relevancy are measured. The proposed method is applied on a data set. An illustrative example is given. As in the Birnbaum measure, the proposed measures are generic since they depend on the probabilistic properties of the components and the system structure. These measures are useful when consider repairable system.
About the Authors
V. M. Chacko
St. Thomas College (Autonomous), Thrissur, University of Calicut
India
India
Associate Professor and Dean, Department of Statistics,
Kerala, India-680001
A. S. Franson
St. Thomas College (Autonomous), Thrissur, University of Calicut
India
India
Franson Ann Sania - Research Fellow, Department of Statistics,
Kerala, India-680001
M. Amrutha
St. Thomas College (Autonomous), Thrissur, University of Calicut
India
India
Research Fellow, Department of Statistics,
Kerala, India-680001
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Review
For citations:
Chacko V.M., Franson A.S., Amrutha M. Birnbaum joint importance measures for three components of a repairable multistate systems. Dependability. 2023;23(3):3-13. (In Russ.) https://doi.org/10.21683/1729-2646-2023-23-3-3-13
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ISSN 2500-3909 (Online)
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