Análisis bivariado de confiabilidad basado en cópulas

in industry, reliability studies are done to assure the quality level of products manufactured. sometimes these products have several failure modes that must be considered in reliability analysis. this analysis is complicated when the dependence pattern is included. in this article a reliability analysis of components that have two dependent failure modes is proposed. the dependence pattern is expressed through a copula function, this representation is appropriate, because the marginal distributions of failure times are from different families, lognormal and weibull. we provide an example which illustrates the reliability analysis of components with two failure modes.