Recent Results in the Statistical Analysis of Univariate Point Processes

Results on the statistical analyses of series of events published subsequent to the monograph by Cox and Lewis on this subject are surveyed. Special emphasis is given to tests for renewal processes, a considerable amount being now known about the distributions of some of the test statistics involved, and to testing the functional form of a trend in a nonhomogeneous Poisson process, as well as the point process model itself. A survey of work in special processes such as cluster processes and doubly stochastic Poisson processes is also given.