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A CUMULATIVE RESIDUAL INACCURACY MEASURE FOR COHERENT SYSTEMS AT COMPONENT LEVEL AND UNDER NONHOMOGENEOUS POISSON PROCESSES

Published online by Cambridge University Press:  11 December 2020

Vanderlei da Costa Bueno
Affiliation:
Institute of Mathematics and Statistics, São Paulo University, São Paulo, Brazil E-mail: [email protected]
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, OntarioL8S 4LS, Canada E-mail: [email protected]

Abstract

Inaccuracy and information measures based on cumulative residual entropy are quite useful and have attracted considerable attention in many fields including reliability theory. Using a point process martingale approach and a compensator version of Kumar and Taneja's generalized inaccuracy measure of two nonnegative continuous random variables, we define here an inaccuracy measure between two coherent systems when the lifetimes of their common components are observed. We then extend the results to the situation when the components in the systems are subject to failure according to a double stochastic Poisson process.

Type
Research Article
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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