@article{TVP_2015_60_2_a8,
author = {A. V. Bulinski},
title = {Estimate of the interaction neighborhood radius for a {Markov} random field},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {377--383},
year = {2015},
volume = {60},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2015_60_2_a8/}
}
A. V. Bulinski. Estimate of the interaction neighborhood radius for a Markov random field. Teoriâ veroâtnostej i ee primeneniâ, Tome 60 (2015) no. 2, pp. 377-383. http://geodesic.mathdoc.fr/item/TVP_2015_60_2_a8/
[1] Vinkler G., Analiz izobrazhenii, sluchainye polya i dinamicheskie metody Monte-Karlo: Matematicheskie osnovy, Izd-vo SO RAN, filial «GEO», Novosibirsk, 2002, 343 pp.
[2] Bianchi A. J., Giolo S. R., Soler J. P., Leonardi F., Finding the basic neighborhood in variable range Markov random fields: application in SNP association studies, arXiv: 1302.5589v1
[3] Brémaud P., Markov Chains. Gibbs Fields, Monte Carlo Simulation, and Queues, Springer, New York, 1999, 444 pp. | MR | Zbl
[4] Bulinski A., Spodarev E., “Introduction to random fields”, Lecture Notes in Math., 2068, 2013, 277–335 | DOI | MR | Zbl
[5] Csiszár I., Talata Z., “Consistent estimation of the basic neighborhood of Markov random fields”, Ann. Statist., 34:1 (2006), 123–145 | DOI | MR | Zbl
[6] Csiszár I., Talata Z., “Context tree estimation for not necessarily finite memory process, via BIC and MDL”, IEEE Trans. Inform. Theory, 52:3 (2006), 1007–1016 | DOI | MR | Zbl
[7] Löcherbach E., Orlandi E., “Neighborhood radius estimation for variable-neighborhood random fields”, Stochastic Process. Appl., 121:9 (2011), 2151–2185 | DOI | MR | Zbl