The prototype Texture Analyser at Fontainebleau permits very swift simulations of many random processes, be they point processes or random set processes .We shall illustrate, with some examples of general processes, the possibilities of this apparatus. Three kinds of processes are presented here:-The Poisson point process-Cluster Processes ("shooting" scheme)-Hard-Core processes (repulsion mode...

The exponentially weighted moving average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This paper extends EWMA charts to Poisson processes with emphasis on quick detection of increases in Poisson rate. Both cases with...

Distributions of the first-exit times from a region with non-linear upper boundary are discussed for ordinary and compound Poisson processes. Explicit formulae are developed for the case of ordinary Poisson processes. Recursive formulae are given for the compound Poisson case, where the jumps are positive, having continuous distributions with finite means. Applications to sequential point estim...