On the convergence of superpositions of point processes

Authors
Huang, WJ Su, JC
Citation
Wj. Huang et Jc. Su, On the convergence of superpositions of point processes, TAIWAN J M, 3(2), 1999, pp. 211-223
Citations number
6
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
3
Issue
2
Year of publication
1999
Pages
211 - 223
Database
ISI
SICI code
1027-5487(199906)3:2<211:OTCOSO>2.0.ZU;2-F
Abstract
In this work, we give conditions for the superposition of independent point processes to converge to a nonhomogeneous two-dimensional Poisson process. Using our results, not only that of Grige-lionis (1963) and Weissman (1975 ), but also some limiting results related to thinned point processes can be obtained. Hence this establishes the connection between thinnings and supe rpositions of point processes.