Point processes, regular variation and weak convergence
- 1 March 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (01) , 66-138
- https://doi.org/10.1017/s0001867800015597
Abstract
A method is reviewed for proving weak convergence in a function-space setting when regular variation is a sufficient condition. Point processes and weak convergence techniques involving continuity arguments play a central role. The method is dimensionless and holds computations to a minimum. Many applications of the methods to processes derived from sums and maxima are given.Keywords
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