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Characterization and Simplification of Non-simple Marked Point Processes
Frederic P. Schoenberg, UCLA Department of Statistics
ABSTRACT: Simple point processes are often characterized by their associated compensators
or conditional intensities. For non-simple point processes, however, the conditional
intensity and compensator do not uniquely determine the distribution of the process. Various
ways of characterizing non-simple multivariate point processes are discussed here, some
important classes of separable non-simple processes are investigated, and methods of simplification
involving thinning, rescaling, and changing the mark space are presented.
SUGGESTED CITATION: Frederic P. Schoenberg,
"Characterization and Simplification of Non-simple Marked Point Processes"
(January 1, 2004).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2004010105.
http://repositories.cdlib.org/uclastat/papers/2004010105
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