On a class of generalized Marshall-Olkin Bivariate distributions and some reliability characteristics
Probability in the Engineering and Informational Sciences
We consider here a general class of bivariate distributions from reliability point of view, and refer to it as generalized Marshall-Olkin bivariate distributions. This class includes as special cases the Marshall-Olkin bivariate exponential distribution and the class of bivariate distributions studied recently by Sarhan and Balakrishnan . For this class, the reliability, survival, hazard, and mean residual life functions are all derived, and their monotonicity is discussed for the marginal as well as the conditional distributions. These functions are also studied for the series and parallel systems based on this bivariate distribution. Finally, the Clayton association measure for this bivariate model is derived in terms of the hazard gradient. Copyright © Cambridge University Press 2013.
Department of Mathematics
Original Publication Date
DOI of published version
Gupta, Ramesh C.; Kirmani, S. N.U.A.; and Balakrishnan, N., "On a class of generalized Marshall-Olkin Bivariate distributions and some reliability characteristics" (2013). Faculty Publications. 1695.