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Cumulative record times in a Poisson process
journal contribution
posted on 2023-06-08, 10:01 authored by Charles M Goldie, Rudolf GrübelWe obtain a strong law of large numbers and a functional central limit theorem, as t , for the number of records up to time t and the Lebesgue measure (length) of the subset of the time interval [0,t] during which the Poisson process is in a record lifetime.
History
Publication status
- Published
Journal
StochasticsISSN
1744-2516Publisher URL
Issue
2-3Volume
80Page range
157-174Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes