Chapter 12. Point Processes

  1. Tomasz Rolski1,
  2. Hanspeter Schmidli2,
  3. Volker Schmidt3 and
  4. Jozef Teugels4

Published Online: 27 MAY 2008

DOI: 10.1002/9780470317044.ch12

Stochastic Processes for Insurance & Finance

Stochastic Processes for Insurance & Finance

How to Cite

Rolski, T., Schmidli, H., Schmidt, V. and Teugels, J. (1999) Point Processes, in Stochastic Processes for Insurance & Finance, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470317044.ch12

Author Information

  1. 1

    Mathematical Institute, University of Wrocław

  2. 2

    Department of Theoretical Statistics, Aarhus University, Denmark

  3. 3

    Faculty of Mathematics and Economics, University of Ulm, Germany

  4. 4

    Department of Mathematics, Catholic University of Leuven, Belgium

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 17 FEB 1999

ISBN Information

Print ISBN: 9780471959250

Online ISBN: 9780470317044

SEARCH

Keywords:

  • point process;
  • poisson process;
  • claim arrival process;
  • Markov process;
  • ruin probability

Summary

The prelims comprise:

  • Stationary Point Processes

  • Mixtures and Compounds of Point Processes

  • The Markov-Modulated Risk Model via PDMP

  • Periodic Risk Model

  • The Bjork-Grandell Model via PDMP

  • Subexponential Claim Sizes