@article{TVP_2012_57_1_a9,
author = {F. G. Ragimov and F. D. Azizov},
title = {The limit theorems for first passage time of {Markov} chain for nonlinear boundary},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {178--185},
year = {2012},
volume = {57},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2012_57_1_a9/}
}
TY - JOUR AU - F. G. Ragimov AU - F. D. Azizov TI - The limit theorems for first passage time of Markov chain for nonlinear boundary JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2012 SP - 178 EP - 185 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/item/TVP_2012_57_1_a9/ LA - ru ID - TVP_2012_57_1_a9 ER -
F. G. Ragimov; F. D. Azizov. The limit theorems for first passage time of Markov chain for nonlinear boundary. Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 1, pp. 178-185. http://geodesic.mathdoc.fr/item/TVP_2012_57_1_a9/
[1] Borovkov A. A., “Asimptotika veroyatnosti peresecheniya granitsy traektoriei tsepi Markova. Regulyarnye khvosty skachkov”, Teoriya veroyatn. i ee primen., 47:4 (2002), 625–653 | MR
[2] Borovkov A. A., “Asimptotika veroyatnosti peresecheniya granitsy traektoriei tsepi Markova. Eksponentsialno ubyvayuschie khvosty skachkov”, Teoriya veroyatn. i ee primen., 48:2 (2003), 254–273 | MR | Zbl
[3] Fuh C.-D., “Asymptotic operating characteristics of an optimal change point detection in hidden Markov models”, Ann. Statist., 32:5 (2004), 2305–2339 | DOI | MR | Zbl
[4] Korshunov D. A., “Predelnye teoremy dlya obschikh tsepei Markova”, Sib. matem. zhurn., 42:2 (2001), 354–371
[5] Mogyoródi J., “On limiting distributions for sums of a random number of independent random variables”, Magyar Tud. Akad. Mat. Kutató Int. Közl., 6:3 (1961), 365–371 | MR | Zbl
[6] Ragimov F. G., “Asimptoticheskoe razlozhenie raspredeleniya vremeni peresecheniya nelineinykh granits”, Teoriya veroyatn. i ee primen., 37:3 (1992), 580–583 | MR | Zbl
[7] Ragimov F. G., “Integralnye predelnye teoremy dlya vremeni peresecheniya nelineinykh granits summami nezavisimykh velichin”, Teoriya veroyatn. i ee primen., 50:1 (2005), 158–161 | MR
[8] Gut A., Stopped Random Walks. Limit Theorems and Applications, Springer-Verlag, New York, 1988, 199 pp. | MR
[9] Woodroofe M., A Nonlinear Renewal Theory in Sequential Analysis, SIAM, Philadelphia, 1982, 119 pp. | MR