Functional approach to the random mean of a compound Cox process

Authors:
P. R. Bouzas;N. Ruiz-Fuentes;F. M. Ocaña
Affiliations:
Department of Statistics and Operations Research, University of Granada, Granada, Spain 18071;Department of Statistics and Operations Research, University of Jaén, Jaén, Spain 23071;Department of Statistics and Operations Research, University of Granada, Granada, Spain 18071
Venue:
Computational Statistics
Year:
2007

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Abstract

The parametric process and counting statistics of a marked point process whose marks belong to a given subset of the mark space of a compound Cox process are derived in this paper by means of functional data analysis. They are illustrated by means of an example and simulation study with different intensity processes for the CCP.