Dynamic multivariate aging notions in reliability theory

Aging Functions and Multivariate Notions of Nbu and Ifr

For d ≥ 2, let X = (X1, . . . , Xd)be a vector of exchangeable continuous lifetimes with joint survival function F. For such models, we study some properties of multivariate aging of F that are described by means of the multivariate aging function BF , which is a useful tool for describing the level curves of F. Specifically, the attention is devoted to notions that generalize the univariate co...

The reliability theory of aging and longevity.

Reliability theory is a general theory about systems failure. It allows researchers to predict the age-related failure kinetics for a system of given architecture (reliability structure) and given reliability of its components. Reliability theory predicts that even those systems that are entirely composed of non-aging elements (with a constant failure rate) will nevertheless deteriorate (fail m...

Reliability Theory of Aging and Longevity

Biodemographic (Reliability) Theory of Aging and Longevity

The quest for general theory of aging and longevity has become an important part of biodemographic studies (Carey & Judge, 2001). In this paper we suggest to include the reliability theory in the theoretical arsenal of biodemographic research for developing a comprehensive theory of aging and longevity. Reliability theory is a general theory about systems failure. It allows researchers to predi...

Terminal notions in set theory

Certain set theoretical notions cannot be split into finer subnotions.