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Limits for the superposition of m-dimensional point processes
Published online by Cambridge University Press: 14 July 2016
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, ∞).
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- Copyright © Applied Probability Trust 1972
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