Multi-parameter renewal processes and simulation of forest fires |
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| Authors: | B Gail Ivanoff |
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| Institution: | (1) Department of Mathematics and Statistics, University of Ottawa, 585 King Edward, Ottawa, ON, Canada, K1N 6N5 |
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| Abstract: | The concept of the renewal property is extended to processes indexed by a multidimensional time parameter. The definition
given includes not only partial sum processes, but also Poisson processes and many other point processes whose jump points
are not totally ordered. Various properties of renewal processes are discussed. Renewal processes are proposed as a basis
for modelling the spread of a forest fire under a prevailing wind.
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| Keywords: | Partial sum process Point process Poisson process Random set Renewal process Stochastic intensity |
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