A CUMULATIVE RESIDUAL INACCURACY MEASURE FOR COHERENT SYSTEMS AT COMPONENT LEVEL AND UNDER NONHOMOGENEOUS POISSON PROCESSES. Issue 2 (April 2022)

• Record Type: Journal Article
• Authors: da Costa Bueno, Vanderlei; Balakrishnan, Narayanaswamy
• Is Part Of: Probability in the engineering and informational sciences. Volume 36:Issue 2(2022)
• Page Start: 294
• Page End: 319
• Publication Date: 2022-04
• Subjects: coherent system -- cumulative residual inaccuracy measure -- joint signature point process -- minimal repair -- nonhomogeneous Poisson process -- signature point process; Probabilities -- Periodicals; Engineering -- Statistical methods -- Periodicals; Information science -- Statistical methods -- Periodicals; 519.202462
• DOI: 10.1017/S0269964820000637
• Languages: English
• ISSNs: 0269-9648

Abstract

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.