caa a22 4500 605519463 CHVBK 20210128100730.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11009-013-9353-8 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9353-8 Koroliuk Volodymyr Institute of Mathematics NASU, Tereschenkivska str., 3, 01601, Kyiv, Ukraine aut B.V. Gnedenko: Classic of Limit Theorems in the Theory of Probability [Elektronische Daten] [Volodymyr Koroliuk] B.V. Gnedenko is an outstanding scientist-mathematician, who worked in the area of probability theory and its applications. B.V. Gnedenko deserved world-wide popularity by his investigations of limit distributions for sums of independent random variables (Gnedenko and Kolmogorov 1954) that completed a long period of probability theory development up to the middle of XX-th century. The main idea of "accompanied infinitely divisible distributions” developed by B.V. Gnedenko, became a guidance in the limit theory of semimartingales as it is presented by Jacod and Shiryaev (1987) and others (Çinlar et al. 1980). The triplet of predictable characteristics for semimartingale is the main idea in investigation the limit behavior for the random evolutions in the scheme of Poisson approximation (Koroliuk and Limnios, Theory Probab Appl 49(4):629-644, 2005b). Springer Science+Business Media New York, 2013 B.V. Gnedenko nationallicence Limit theorem nationallicence Process with independent increments nationallicence Poisson approximation nationallicence Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 5-14 1387-5841 17:1<5 2015 17 11009 https://doi.org/10.1007/s11009-013-9353-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9353-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Koroliuk Volodymyr Institute of Mathematics NASU, Tereschenkivska str., 3, 01601, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 5-14 1387-5841 17:1<5 2015 17 11009