Multivariate Variance Residual Life in Discrete Time

Abstract

Among various characteristics of residual life, the concept of variance residual life in the univariate case has been extensively discussed in reliability literature. In the present work we extend this notion to the discrete multivariate case and study its properties. Different versions of classes of multivariate distributions based on the monotonicity of variance residual life are also presented along with some characterizations.

Keywords

• Multivariate variance residual life
• Geometric, Waring and negative hyper geometric distributions
• Increasing (decreasing) variance residual life classes
• Multivariate equilibrium models