Point Processes

Sidney I. Resnick
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Sidney I. Resnick: Cornell University, School of Operations Research and Industrial Engineering

Chapter Chapter 4 in Adventures in Stochastic Processes, 2002, pp 300-366 from Springer

Abstract: Abstract WE WANT to build models for a random distribution of points in a space, usually, a subset of R or [0, ∞) or R d, d ≥ 1. We have seen several examples of such models already. Renewal processes distribute points on [0, ∞) so that the gaps between points are iid random variables and the Poisson process on [0, ∞) is a renewal process which distributes points so the gaps are iid exponential random variables.

Keywords: Poisson Process; Point Process; Renewal Process; Random Element; Homogeneous Poisson Process (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4612-0387-2_4

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