A new method for testing whether a point process is poisson

摘要

This is the first application of a new method for testing stationary random point processes. Consider the class of all stationary ergodic point processes on the real line with arbitrary dependences among the inter#x2013;point distances (spacing).The hypothesis is :The observed process #x3C6; is a homogeneous Poisson process or more (resp.less) regular than a Poisson process.The sample is the vector of the first n points t1, #x2026;,tn.There is a close relation between our method for testing and queueing theory: For finding an appropriate test statistic, we observe the behaviour of a single server queue with the input #x3C6;.A table of critical values is given.