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Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure

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ABSTRACT Two-unit warm standby systems have been elaborately dealt within the literature. However, the study of standby systems with more than two units, though very relevant in state-of-the-art practical situations,… Click to show full abstract

ABSTRACT Two-unit warm standby systems have been elaborately dealt within the literature. However, the study of standby systems with more than two units, though very relevant in state-of-the-art practical situations, has received little attention because of mathematical intricacies involved in analyzing them. Also, such systems have been studied assuming: (i) the lifetime or repair time of the units to be exponential, or (ii) the lifetime and repair time to be independent. The present contribution is an improvement in the state-of-the-art in the sense that three-unit warm standby system with dependent structure is shown to be capable of comprehensive analysis.

Keywords: unit warm; warm standby; three unit; standby system

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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