Bounds for the probability generating functional of a Gibbs point process
| Data(s) |
2014
|
|---|---|
| Resumo |
We derive explicit lower and upper bounds for the probability generating functional of a stationary locally stable Gibbs point process, which can be applied to summary statistics such as the F function. For pairwise interaction processes we obtain further estimates for the G and K functions, the intensity, and higher-order correlation functions. The proof of the main result is based on Stein's method for Poisson point process approximation. |
| Formato |
application/pdf |
| Identificador |
http://boris.unibe.ch/51698/1/__ubnetapp02_user%24_brinksma_Downloads_Bound%20gibbs.pdf Schuhmacher, Dominic; Stucki, Kaspar (2014). Bounds for the probability generating functional of a Gibbs point process. Advances in applied probability, 46(1), pp. 21-34. Applied Probability Trust 10.1239/aap/1396360101 <http://dx.doi.org/10.1239/aap/1396360101> doi:10.7892/boris.51698 info:doi:10.1239/aap/1396360101 urn:issn:0001-8678 |
| Idioma(s) |
eng |
| Publicador |
Applied Probability Trust |
| Relação |
http://boris.unibe.ch/51698/ http://projecteuclid.org/euclid.aap/1396360101 |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Schuhmacher, Dominic; Stucki, Kaspar (2014). Bounds for the probability generating functional of a Gibbs point process. Advances in applied probability, 46(1), pp. 21-34. Applied Probability Trust 10.1239/aap/1396360101 <http://dx.doi.org/10.1239/aap/1396360101> |
| Palavras-Chave | #360 Social problems & social services #510 Mathematics #310 Statistics |
| Tipo |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed |
