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Conditionally Independent Increment Point Processes
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper we introduce conditionally independent increment point processes, that is, processes that are conditionally independent inside and outside a bounded set A given N(A), the number of points in A. We show that these point processes can be characterized by means of the avoidance function of a multinomial ‘support process’, the solution of a suitably defined linear system of equations, and, finally, the infinitesimal matrix of a continuous-time Markov chain.
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- Copyright © Applied Probability Trust 2011