Abstract
In this paper, we consider a class of bivariate distributions by forming the odds of failure of a two component system. The properties of this odds function and the association between the two variables are investigated by studying the local dependence function and the association measure defined by Clayton (Biometrika 65:141–151, 1978) and Oakes (J Am Stat Assoc 84:487–493, 1989). We also study the effect of the association parameter on the failure rate of a series system and the regression mean residual life function of a parallel system. Some stochastic comparisons with respect to the association parameter are also studied.
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