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Barbour, A D; Xia, A (2000). Estimating Stein's constants for compound Poisson approximation. Bernoulli, 6(4):581-590.
Stein's method for compound Poisson approximation was introduced by Barbour, Chen and Loh. One difficulty in applying the method is that the bounds on the solutions of the Stein equation are by no means as good as for Poisson approximation. We show that, for the Kolmogorov metric and under a condition on the parameters of the approximating compound Poisson distribution, bounds comparable with those obtained for the Poisson distribution can be recovered.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability |
| Uncontrolled Keywords: | coupling, immigration-death process, Kolmogorov metric, Stein's method |
| Language: | English |
| Date: | 2000 |
| Deposited On: | 07 Apr 2010 13:13 |
| Last Modified: | 03 Sep 2024 01:37 |
| Publisher: | Bernoulli Society for Mathematical Statistics and Probability |
| ISSN: | 1350-7265 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.2307/3318506 |
| Official URL: | http://projecteuclid.org/euclid.bj/1081449593 |
Barbour, A D