Open Access
1999 ON THE CONVERGENCE OF SUPERPOSITIONS OF POINT PROCESSES
Wen-Jang Huang, Jyh-Cherng Su
Taiwanese J. Math. 3(2): 211-223 (1999). DOI: 10.11650/twjm/1500407093

Abstract

In this work, we give conditions for the superposition of independent point processes to converge to a nonhomogeneous twodimensional Poisson process. Using our results, not only that of Grigelionis (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 superpositions of point processes.

Citation

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Wen-Jang Huang. Jyh-Cherng Su. "ON THE CONVERGENCE OF SUPERPOSITIONS OF POINT PROCESSES." Taiwanese J. Math. 3 (2) 211 - 223, 1999. https://doi.org/10.11650/twjm/1500407093

Information

Published: 1999
First available in Project Euclid: 18 July 2017

zbMATH: 0938.60041
MathSciNet: MR1692844
Digital Object Identifier: 10.11650/twjm/1500407093

Rights: Copyright © 1999 The Mathematical Society of the Republic of China

Vol.3 • No. 2 • 1999
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