naa a22 4500 510812015 CHVBK 20180411083447.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1134/S0081543813060138 doi (NATIONALLICENCE)springer-10.1134/S0081543813060138 Lotov V. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, 630090, Novosibirsk, Russia aut Asymptotic expansions for the distribution of the sojourn time of a random walk on a half-axis [Elektronische Daten] [V. Lotov] A complete asymptotic expansion for n → ∞ is obtained in a local limit theorem for the distribution of the sojourn time of a random walk with zero drift in the set (b,∞) during n steps. Here b = b(n) → ∞, b(n) = o(n), and Cramér-type conditions are imposed on the distribution of jumps of the walk. Pleiades Publishing, Ltd., 2013 Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 282/1(2013-10-01), 146-156 0081-5438 282:1<146 2013 282 11501 https://doi.org/10.1134/S0081543813060138 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813060138 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lotov V. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 282/1(2013-10-01), 146-156 0081-5438 282:1<146 2013 282 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer