Abstract
This paper presents a definition of NBU probability measures on ((R+)m, (B+)m), where R+=[0, ∞) and B+ is the class of Borel subsets of R+, and it is shown that our NBU probability measures have several desirable properties, for example, they are closed under the formation of coherent systems, they are closed under the limits in distribution and so on. Boundary probability measures of our class of NBU probability measures are given explicitly. Finally we present some examples of NBU probability measures, especially the bivariate Erlang distributions are shown to be NBU.
