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.
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This work was partially supported by projects MTM2004-05992 of Dirección General de Investigación, and MTM2004-04230 of Plan Nacional de I+D+I, Ministerio de Ciencia y Tecnología jointly by the FEDER.
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Bouzas, P.R., Ruiz-Fuentes, N. & Ocaña, F.M. Functional approach to the random mean of a compound Cox process. Computational Statistics 22, 467–479 (2007). https://doi.org/10.1007/s00180-007-0052-1
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DOI: https://doi.org/10.1007/s00180-007-0052-1