Reliability studies of bivariate distributions with Pearson type Ⅶ conditionals

摘要

In this article we study bivariate distributions with Pearson type Ⅶ conditionals from a reliability point of view. The reliability functions, viz the survival function, the failure rate and the mean residual life function, are derived and their monotonicity is discussed for the univariate model as well as the conditional model. Finally, Clayton's association measure is obtained in terms of the hazard gradient and its value, in the case of our model, is derived.