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Note on the determination of cluster centers from a realization of a multidimensional Poisson cluster process

Published online by Cambridge University Press:  14 July 2016

Abstract

This is the sequel to a previous paper (Baudin (1981)). The joint probability generating functional of two point processes is introduced as a tool to compute the conditional intensity of the process of cluster centers of a multidimensional Poisson cluster process when a realization is given in a bounded observation window. An explicit formula is derived but it is too complicated for actual use; a linear method for practical estimation is discussed.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1983 

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