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Counting process

Stochastic Modeling and Environmental Change

  1. Peter Olofsson

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vnn067

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Olofsson, P. 2013. Counting process. Encyclopedia of Environmetrics. 2.

Author Information

  1. Trinity University, San Antonio, TX, USA

Publication History

  1. Published Online: 15 JAN 2013


A counting process is a nonnegative, integer-valued, increasing stochastic process that is used to count the number of occurrences of some event as time goes by. Special cases include pure birth processes, renewal processes, and the Poisson process.


  • counting process;
  • excess lifetime;
  • Poisson process;
  • pure birth process;
  • renewal process