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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