Multivariate discrete scalar hazard rate

In the present paper, we study the properties of the multivariate discrete scalar hazard rate. Its continuous analogue introduced in the early seventies did not attract much attention because it could not be used to identify the corresponding life distribution. We find the conditions under which an nn-variate discrete scalar hazard rate can determine the distribution uniquely. Several other properties of this hazard rate which can be employed in modelling lifetime data are discussed. Some ageing classes based on the scalar hazard function are suggested.