Spectra of some self-exciting and mutually exciting point processes

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ID: 290846
1971
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Abstract
In recent years methods of data analysis for point processes have received some attention, for example, by Cox & Lewis (1966) and Lewis (1964). In particular Bartlett (1963a, b) has introduced methods of analysis based on the point spectrum. Theoretical models are relatively sparse. In this paper the theoretical properties of a class of processes with particular reference to the point spectrum or corresponding covariance density functions are discussed. A particular result is a self-exciting process with the same second-order properties as a certain doubly stochastic process. These are not distinguishable by methods of data analysis based on these properties.
Reference Key
openalex_W2069849731 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Alan G. Hawkes
Journal jurnal biometrika dan kependudukan
Year 1971
DOI
10.1093/biomet/58.1.83
URL
https://doi.org/10.1093/biomet/58.1.83
Keywords Keywords not found

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