Influences of Dependence Degrees of a Component for the Mean Time to Failure of a System Kim, Dae-Kyung; Oh, Ji-Eun;
This article considers the mean time to failure(MTTF) of a dependent parallel system. We study how the degree of dependency components influences the increase in the mean lifetime for this system. The results are illustrated by tables and figures.
Balakrishnan, N. and Lai, C. D. (2009). Continuous Bivariate Distributions, Springer.
Clayton, D. G. (1978). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence, Biometrika, 65, 141-151.
Esary, F. D. and Proschan, F. (1970). A reliability bound for systems of maintained interdependent components, Journal of the American Statistical Association, 65, 329-338.
Freund, J. E. (1961). A bivariate extension of the exponential distribution, Journal of the American Statistical Association, 56, 971-977.
Gumbel, E. J. (1960). Bivariate exponential distributions, Journal of the American Statistical Association, 56, 698-707.
Hanagal, D. D. (1996). A multivariate Weibull distribution, Econ Qual Control, 11, 193-200.
Johnson, N. L. and Kotz, S. (1970). Continuous Univariate Distribution - 1, Houghton Mifflin Company, Boston.
Lehmann, E, L. (1966). Some concepts of dependence, Annals of Mathematical Statistics, 37, 1137-1153.
Lu, J. C. (1989). Weibull extension of the Freund and Marshall-Olkin bivariate exponential models, IEEE Transaction on Reliability, 38, 615-619.
Lu, J. C. and Bhattachrayya, G. K. (1990). Some new constructions of bivariate Weibull models, Annals of Institute of Statistical Mathematics, 42, 543-559.
Marshall, A. W. and Olkin, I. A. (1967). A multivariate exponential distribution, Journal of the American Statistical Association, 62, 30-44.
Mino, T., Yoshikawa, N., Suzuki, K., Horikawa, Y. and Abe, Y. (2003). The mean of lifespan under dependent competing risks with application to mice data, Journal of Health and Sports Science, Juntendo University, 7, 68-74.
Moeschberger, M. L. (1974). Life tests under dependent competing causes of failure, Technometrics, 16, 39-47.
Murthy, D. N. P. and Nguyen, D. G. (1985). Study of two component system with Failure interaction, Naval Research Logistics Quarterly, 32, 239-247.
Rachev, S. T., Wu, C. and Yakovlev, A. Y. (1995). A bivariate limiting distribution of tumor latency time, Mathematical Biosciences, 127, 127-147.