A two-dimensional Markov renewal process
Article first published online: 29 JUN 2010
Copyright © 2010 John Wiley & Sons, Ltd.
Volume 22, Issue 1, pages 98–108, February 2011
How to Cite
Davies, K. F. and Braun, W. J. (2011), A two-dimensional Markov renewal process. Environmetrics, 22: 98–108. doi: 10.1002/env.1049
- Issue published online: 24 JAN 2011
- Article first published online: 29 JUN 2010
- Manuscript Accepted: 23 MAR 2010
- Manuscript Received: 28 OCT 2008
- maximum likelihood estimation;
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.