Roos, Malgorzata (1994). Stein's method for compound Poisson approximation: The local approach. Annals of Applied Probability, 4(4):1177-1187.
In the present paper, compound Poisson approximation by Stein's method is considered. A general theorem analogous to the local approach for Poisson approximation is proved. It is then applied to a reliability problem involving the number of isolated vertices in the rectangular lattice on the torus.
In the present paper, compound Poisson approximation by Stein's method is considered. A general theorem analogous to the local approach for Poisson approximation is proved. It is then applied to a reliability problem involving the number of isolated vertices in the rectangular lattice on the torus.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI)
07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 610 Medicine & health
510 Mathematics |
| Uncontrolled Keywords: | Stein-Chen method, compound Poisson distribution, rate of convergence, reliability theory, isolated vertices, $k$-out-of-$n$, rectangular lattice |
| Language: | English |
| Date: | 1994 |
| Deposited On: | 16 Nov 2009 12:41 |
| Last Modified: | 26 Jun 2022 22:44 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1050-5164 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1214/aoap/1177004910 |
| Official URL: | http://projecteuclid.org/euclid.aoap/1177004910 |
Roos, Malgorzata