Abstract
We discuss the limits of point processes which are generated by a triangular array of rare events. Such point processes are motivated by the exceedances of a high boundary by a random sequence since exceedances are rare events in this case. This application relates the problem to extreme value theory from where the method is used to treat the asymptotic approximation of these point processes. The presented general approach extends, unifies and clarifies some of the various conditions used in the extreme value theory.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference13 articles.
1. A note on exceedances and rare events of non-stationary sequences
2. Hsing T. , Hüsler J. and Reiss R.-D. (1994) The extremes of a triangular array of normal random variables. Preprint.
3. Nandagopalan S. , Leadbetter M. R. and Hüsler J. (1993) Limit theorems for non-stationary multidimensional strongly mixing random measures. Preprint.
4. Some Limit Theorems for Random Functions. I
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