Barbour, A D; Luczak, M J; Xia, A (2018). Multivariate approximation in total variation, II: Discrete normal approximation. The Annals of Probability, 46(3):1405-1440.
The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in Zd. We illustrate the use of the method for sums of independent integer valued random vectors, and for random vectors exhibiting an exchangeable pair. We conclude with an application to random colourings of regular graphs.
The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in Zd. We illustrate the use of the method for sums of independent integer valued random vectors, and for random vectors exhibiting an exchangeable pair. We conclude with an application to random colourings of regular graphs.
| 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
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 1 May 2018 |
| Deposited On: | 15 Nov 2018 13:53 |
| Last Modified: | 15 Apr 2020 21:47 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 0091-1798 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1214/17-aop1205 |
| Official URL: | https://projecteuclid.org/euclid.aop/1523520020 |
Barbour, A D