Poisson limit for associated random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 4, pp. 772-776 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {Yu. Yu. Bakhtin},
     title = {Poisson limit for associated random fields},
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     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_4_a8/}
}
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Yu. Yu. Bakhtin. Poisson limit for associated random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 4, pp. 772-776. http://geodesic.mathdoc.fr/item/TVP_2009_54_4_a8/

[1] Bulinski A., Shashkin A., Limit Theorems for Associated Random Field and Related Systems, Adv. Ser. Statist. Sci. Appl. Probab., 10, World Scientific, Hackensack, 2007, 436 pp. | MR | Zbl

[2] Bulinski A., Suquet C., “Normal approximation for quasi-associated random fields”, Statist. Probab. Lett., 54:2 (2001), 215–226 | DOI | MR | Zbl

[3] Daley D. J., Vere-Jones D., An Introduction to the Theory of Point Processes, Springer-Verlag, New York, 1988, 702 pp. | MR | Zbl

[4] Esary J. D., Proschan F., Walkup D. W., “Association of random variables, with applications”, Ann. Math. Statist., 38 (1967), 1466–1474 | DOI | MR | Zbl

[5] Fortuin C. M., Kasteleyn P. W., Ginibre J., “Correlation inequalities on some partially ordered sets”, Comm. Math. Phys., 22 (1971), 89–103 | DOI | MR | Zbl

[6] Fu J. C., Koutras V., “Poisson approximations for 2-dimensional patterns”, Ann. Inst. Statist. Math., 46:1 (1994), 179–192 | DOI | MR | Zbl

[7] Ganesh A., Hambly B. M., O'Connell N., Stark D., Upton P. J., “Poissonian behavior of Ising spin systems in an external field”, J. Statist. Phys., 99:1–2 (2000), 613–626 | DOI | MR | Zbl

[8] Kallenberg O., Random Measures, Akademie-Verlag, Berlin, 1976, 104 pp. | MR | Zbl

[9] Newman C. M., “Normal fluctuations and the FKG inequalities”, Comm. Math. Phys., 74:2 (1980), 119–128 | DOI | MR | Zbl