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Eichelsbacher, Peter; Roos, Malgorzata (1999). Compound poisson approximation for dissociated random variables via Stein's method. Combinatorics, Probability & Computing, 8(4):335-346.
In the present paper we consider compound Poisson approximation by Stein's method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approximation in two recent papers.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI) |
| Dewey Decimal Classification: | 610 Medicine & health |
| Scopus Subject Areas: | Physical Sciences > Theoretical Computer Science
Physical Sciences > Statistics and Probability Physical Sciences > Computational Theory and Mathematics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 1999 |
| Deposited On: | 30 Oct 2014 13:46 |
| Last Modified: | 11 Mar 2025 02:41 |
| Publisher: | Cambridge University Press |
| ISSN: | 0963-5483 |
| Additional Information: | Copyright: Cambridge University Press. |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1017/S0963548399003880 |
| Official URL: | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=46715&fileId=S0963548399003880 |
Eichelsbacher, Peter