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Introduction to a diagnostic approach for point processes based on weighted second-order statistics
Giada Adelfio, Univeristà degli Studi di Palermo
Frederic P. Schoenberg, University of California, Los Angeles
ABSTRACT: A new diagnostic method for point processes is here presented. It is based on their second-order analysis, transforming the original point process by the inverse of its conditional intensity function in order to form a generalized estimate of various second-order point process properties. The result is generalized versions of the spectral density, R/S statistic, correlation integral and K-function, which can be used to test the fit of complex point process models with arbitrary conditional intensity model, rather than a stationary Poisson model.
SUGGESTED CITATION: Giada Adelfio and Frederic P. Schoenberg,
"Introduction to a diagnostic approach for point processes based on weighted second-order statistics"
(January 30, 2007).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2007010115.
http://repositories.cdlib.org/uclastat/papers/2007010115
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