Processes With Random Regulation

  • Authors:

  • David Stirzaker

  • Affiliations:

  • St John's College, Oxford, United Kingdom, E-mail: david.stirzaker@sjc.ox.ac.uk

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2007

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Abstract

We consider a class of stochastic models for systems subject to random regulation. We derive expressions for the distribution of the intervals between regulating instants and for the transient and equilibrium properties of the process. Some of these are evaluated explicitly for some models of interest.