ABSTRACT

This chapter parallels the preceding one on the basic properties of infinitely divisible distributions on Z+; many results are similar. Distributions on Z+ are, of course, special cases of distributions on R+. The Z+-case has been dealt with separately because it is mathematically simpler and sometimes leads to more detailed results. Our aim that the present chapter be accessible independent of the previous one, as much as possible, makes it necessary to repeat some definitions and arguments given earlier. Even so, we will sporadically have to make use of a result in Chapter II.