Introduction to the General Theory of Random Measures

  • D. J. Daley
  • D. Vere-Jones
Part of the Springer Series in Statistics book series (SSS)


In this chapter we set out the main basic features of a general theory of random measures. This approach encompasses the study of point processes as counting measures and is best suited for handling point processes in the plane and more general spaces. While results for random measures are of interest in their own right, the unified context allows us to appreciate more clearly the features that are peculiar to point processes. Discussion of such features is deferred to Chapter 7.


Point Process Random Measure Dirichlet Process Finite Measure Finite Family 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • D. J. Daley
    • 1
  • D. Vere-Jones
    • 2
  1. 1.Department of Statistics Institute for Advanced StudyAustralian National UniversityCanberraAustralia
  2. 2.Department of StatisticsVictoria UniversityWellingtonNew Zealand

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