On preservation of ageing under minimum for dependent random lifetimes

Authors : Franco PELLEREY, Saeed ZALZADEH

Pages : 873-884

View : 26 | Download : 9

Publication Date : 2014-10-01

Article Type : Research Paper

Abstract :In this note we consider a vector insert ignore into journalissuearticles values(X1, X2); of lifetimes whose dependence is described by an Archimedean copula, and we provide conditions useful to describe the relationships between ageing properties of X1 and X2 and ageing properties of their minimum. Examples are also provided.
Keywords : Ageing notions, IFR, NBU, Minimum, Archimedean copulas, Frailty models