Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22662
Barbour, A D; Greenwood, P (1993). Rates of Poisson approximation to finite range random fields. Annals of Applied Probability, 3(1):91-102.
View at publisher
The Stein-Chen approach is used to obtain bounds on the Poisson approximation of a random field, in both a random variable and a stochastic process sense. The hypotheses are Dobrushin's condition or, alternatively, positive dependence combined with a bound on decay of correlations. Rates of convergence are derived which supplement the limit theorems of Berman. The results have application to certain Gibbs states at both high and low temperature.
5 downloads since deposited on 12 Apr 2010
1 download since 12 months
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Poisson approximation; Stein-Chen method; random fields; Gibbs states; extrema|
|Deposited On:||12 Apr 2010 12:17|
|Last Modified:||23 Nov 2012 13:26|
|Publisher:||Institute of Mathematical Statistics|
Users (please log in): suggest update or correction for this item
Repository Staff Only: item control page