Some characterizations based on bivariate reversed mean residual life. (English) Zbl 1513.62212
Summary: In the present paper we discuss some properties of bivariate reversed mean residual life function and their extensions to the multivariate case. Inversion formula for the distribution function of a bivariate random vector in terms of the reversed mean residual life, some characterization theorems and relationship with bivariate reversed hazard rates are established.
MSC:
62N05 | Reliability and life testing |
62E10 | Characterization and structure theory of statistical distributions |
62H05 | Characterization and structure theory for multivariate probability distributions; copulas |