Wergen, G., Volovik, D., Redner, S. and Krug, J. (2012). Rounding Effects in Record Statistics. Phys. Rev. Lett., 109 (16). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114
Full text not available from this repository.Abstract
We analyze record-breaking events in time series of continuous random variables that are subsequently discretized by rounding to integer multiples of a discretization scale Delta > 0. Rounding leads to ties of an existing record, thereby reducing the number of new records. For an infinite number of random variables that are drawn from distributions with a finite upper limit, the number of discrete records is finite, while for distributions with a thinner than exponential upper tail, fewer discrete records arise compared to continuous variables. In the latter case, the record sequence becomes highly regular at long times.
| Item Type: | Journal Article | ||||||||||||||||||||
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| URN: | urn:nbn:de:hbz:38-480952 | ||||||||||||||||||||
| DOI: | 10.1103/PhysRevLett.109.164102 | ||||||||||||||||||||
| Journal or Publication Title: | Phys. Rev. Lett. | ||||||||||||||||||||
| Volume: | 109 | ||||||||||||||||||||
| Number: | 16 | ||||||||||||||||||||
| Date: | 2012 | ||||||||||||||||||||
| Publisher: | AMER PHYSICAL SOC | ||||||||||||||||||||
| Place of Publication: | COLLEGE PK | ||||||||||||||||||||
| ISSN: | 1079-7114 | ||||||||||||||||||||
| Language: | English | ||||||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||||||
| Subjects: | no entry | ||||||||||||||||||||
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/48095 |
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