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A two-dimensional Markov renewal process

Authors

  • Katherine F. Davies,

    1. Department of Statistics, The University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
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  • W. John Braun

    Corresponding author
    1. Department of Statistical and Actuarial Sciences, The University of Western Ontario, London, Ontario N6A 5B7, Canada
    • Department of Statistical and Actuarial Sciences, The University of Western Ontario, London, Ontario N6A 5B7, Canada.
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Abstract

This paper presents an extension to the the Ivanoff–Merzbach renewal process. The Ivanoff–Merzbach process is a natural analogue to the one-dimensional renewal process. Restricting our attention to two dimensions, the focus of the current paper will be formation of this extension, which we will refer to as a Markov renewal process, as well as simulation, estimation and applications to data sets in ecology and forestry. Copyright © 2010 John Wiley & Sons, Ltd.

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