Yadavalli, Venkata S. SarmaVaidyanathan, V. S.Chandrasekhar, P.Abbas, S.2018-01-182017-03V. S. S. Yadavalli, V. S. Vaidyanathan, P. Chandrasekhar & S. Abbas (2017) Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure, Communications in Statistics - Theory and Methods, 46:14, 6782-6790, DOI: 10.1080/03610926.2015.1134576.1532-415X (online)0361-0926 (print)10.1080/03610926.2015.1134576http://hdl.handle.net/2263/63591Two-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 life-time 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.en© 2017 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods , vol. 46, no. 14, pp. 6782-6790 2017. doi : 10.1080/03610926.2015.1134576. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20.Multivariate central limit theoremSlutsky theoremStandby systemSteady state availabilityPostprint Article