Random Measures, Theory and Applications

  • OlavĀ Kallenberg

Part of the Probability Theory and Stochastic Modelling book series (PTSM, volume 77)

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Olav Kallenberg
    Pages 15-48
  3. Olav Kallenberg
    Pages 49-69
  4. Olav Kallenberg
    Pages 70-108
  5. Olav Kallenberg
    Pages 109-153
  6. Olav Kallenberg
    Pages 154-210
  7. Olav Kallenberg
    Pages 211-265
  8. Olav Kallenberg
    Pages 266-309
  9. Olav Kallenberg
    Pages 310-346
  10. Olav Kallenberg
    Pages 347-405
  11. Olav Kallenberg
    Pages 406-446
  12. Olav Kallenberg
    Pages 447-480
  13. Olav Kallenberg
    Pages 481-537
  14. Olav Kallenberg
    Pages 538-621
  15. Back Matter
    Pages 622-694

About this book


Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.


60G57, 60G55 Palm and Gibbs kernels compensators convergence in distribution point processes random measures

Authors and affiliations

  • OlavĀ Kallenberg
    • 1
  1. 1.Auburn University Dept. MathematicsAuburnUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-41596-3
  • Online ISBN 978-3-319-41598-7
  • Series Print ISSN 2199-3130
  • Series Online ISSN 2199-3149
  • Buy this book on publisher's site