Representation of the interevent intervals between a set of nonuniformly distributed “points” or “events”*

摘要

The general problem treated in this paper is the derivation of the distribution of intervals between neighboring points or “events” on a line. For the case in which the events are independently and uniformly distributed the distribution of intervals is well known. However, from the applications point of view, the nonuniform case is highly important, a situation motivating the derivation of the results in this paper.