NEW DEVELOPMENTS ON THE USE OF BIVARIATE RODRIGUEZ-BURR III DISTRIBUTION IN RELIABILITY STUDIES

Abstract

In this paper we study the bivariate Rodriguez-Burr III distribution from a reliability point of view. In particular, we derive various functions used in reliability theory of conditional distributions, viz hazard rate, reversed hazard rate, mean residual life and mean reversed residual life and, using some notions of dependence, their monotonicity is discussed. Finally, some measures of dependence based on the distribution function and on the mean reversed residual life are investigated.Conditional Distribution, Reveserd Hazard Rate, TP2, Dependence Measures