2012•Wiley series in probability and statisticsRequires access
Poisson Processes and Extensions
David Rı́os Insua, Fabrizio Ruggeri, Michael P. Wiper
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Abstract
Poisson processes are one of the simplest and most applied types of stochastic processes. They can be used to model the occurrences of rare events in time and/or space, when they are not affected by past history. This chapter introduces the basic concepts and results of Poisson processes, and also analyzes homogeneous and nonhomogeneous Poisson processes. It presents the compound Poisson processes and other related processes, and a case study based on the analysis of earthquake data. Controlled Vocabulary Terms stochastic processes