Please use this identifier to cite or link to this item:
https://doi.org/10.3150/12-BEJSP18
Title: | Approximating dependent rare events | Authors: | Chen, L.H.Y. Röllin, A. |
Keywords: | Bernoulli random variables Bootstrap percolation Compound Poisson approximation Local dependence Maximal arithmetic progressions Monotone coupling Multivariate Poisson approximation Poisson approximation Poisson process approximation Rare events Size-bias coupling Stein's method |
Issue Date: | Sep-2013 | Citation: | Chen, L.H.Y., Röllin, A. (2013-09). Approximating dependent rare events. Bernoulli 19 (4) : 1243-1267. ScholarBank@NUS Repository. https://doi.org/10.3150/12-BEJSP18 | Abstract: | In this paper we give a historical account of the development of Poisson approximation using Stein's method and present some of the main results. We give two recent applications, one on maximal arithmetic progressions and the other on bootstrap percolation. We also discuss generalisations to compound Poisson approximation, Poisson process approximation and multivariate Poisson approximation, and state a few open problems. © 2013 ISI/BS. | Source Title: | Bernoulli | URI: | http://scholarbank.nus.edu.sg/handle/10635/102872 | ISSN: | 13507265 | DOI: | 10.3150/12-BEJSP18 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.