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Limits for the superposition of m-dimensional point processes

Published online by Cambridge University Press:  14 July 2016

Ward Whitt*
Affiliation:
Yale University

Abstract

To obtain a limit with independent components in the superposition of m-dimensional point processes, a condition corresponding to asymptotic independence must be included. When this condition is relaxed, convergence to limits with dependent components is possible. In either case, convergence of finite distributions alone implies tightness and thus weak convergence in the function space D[0, ∞) × … × D[0, ∞).

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1972 

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