Exact asymptotic theorem for the maximal increments for the random fields.
Main publications:
O. E. Scherbakova, The asymptotic behaviour of random fields increment, Abstracts. International Gnedenko Conference. 90 anniversary. Kyiv (2002), 25.
O. E. Scherbakova, Asimptoticheskoe povedenie priraschenii sluchainykh polei, Teoriya imovirnostei ta matematichna statistika, 68 (2003), 158–171.
O. E. Scherbakova, Skorost skhodimosti dlya priraschenii sluchainykh polei, Zapiski nauchnykh seminarov POMI, 298 (2003), 304–315.
O. E. Scherbakova, Skorost skhodimosti dlya bolshikh priraschenii sluchainykh polei, Zapiski nauchnykh seminarov POMI, 320 (2004), 187–225.
O. E. Scherbakova, Nizhnii predel dlya maksimalnykh priraschenii sluchainykh bluzhdanii i polei, Obozrenie prikladnoi i promyshlennoi matematiki. KhI Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam. Sochi, 11 (2004), 521–522.
O. Shcherbakova, Exact asymptotic theorem for the maximal increments on parallelepipeds with new moment condition for the random fields, International Conference, Skorokhod space 50 years on, Abstracts, II (2007), 141–142.
O. E. Shcherbakova, “Exact rate of convergence for increments of random fields”, Zap. Nauchn. Sem. POMI, 320 (2004), 187–225; J. Math. Sci. (N. Y.), 137:1 (2006), 4583–4608
2003
2.
O. E. Shcherbakova, “Rate of convergence of increments for random fields”, Zap. Nauchn. Sem. POMI, 298 (2003), 304–315; J. Math. Sci. (N. Y.), 128:1 (2005), 2669–2676
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