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Introduction to a diagnostic approach for point processes based on weighted second-order statistics

  • Author(s): Giada Adelfio
  • Frederic Paik Schoenberg
  • et al.
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.

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