Multivariate discrete reversed hazard rates

ABSTRACT

In the present paper, we define and study four versions of multivariate discrete reversed hazard rates, namely scalar reversed hazard rate, vector reversed hazard rate, alternative reversed hazard rate, and conditional reversed hazard rate. Various properties of these functions are studied. Interrelationships between these reversed hazard rates are explored. We also present characterization of discrete distributions using these reversed hazard rates.

KEYWORDS:

• Alternative reversed hazard rate
• conditional reversed hazard rate
• multivariate discrete distributions
• reversed lack of memory property
• scalar reversed hazard rate
• vector reversed hazard rate

MATHEMATICS SUBJECT CLASSIFICATION:

• 62H99
• 62N05

Acknowledgments

We thank the editor and referees for their valuable suggestions.