Silvestrov, Dmitrii; Silvestrov, Sergei Asymptotic expansions for stationary distributions of perturbed semi-Markov processes. (English) Zbl 1361.60062 Silvestrov, Sergei (ed.) et al., Engineering mathematics II. Algebraic, stochastic and analysis structures for networks, data classification and optimization. Cham: Springer (ISBN 978-3-319-42104-9/hbk; 978-3-319-42105-6/ebook). Springer Proceedings in Mathematics & Statistics 179, 151-222 (2016). MSC: 60J22 60K15 60J10 60J80 65C40 PDF BibTeX XML Cite \textit{D. Silvestrov} and \textit{S. Silvestrov}, in: Engineering mathematics. II: Algebraic, stochastic and analysis structures for networks, data classification and optimization. Cham: Springer. 151--222 (2016; Zbl 1361.60062) Full Text: DOI arXiv
Korolyuk, Vladimir S.; Limnios, Nikolaos Average and diffusion approximation of stochastic evolutionary systems in an asymptotic split state space. (English) Zbl 1041.60061 Ann. Appl. Probab. 14, No. 1, 489-516 (2004). Reviewer: Dominique Lepingle (Orléans) MSC: 60J55 60B10 60F17 60K10 60G46 60G60 PDF BibTeX XML Cite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Ann. Appl. Probab. 14, No. 1, 489--516 (2004; Zbl 1041.60061) Full Text: DOI
Korolyuk, V. S.; Limnios, N. Increment processes and its stochastic exponential with Markov switching in Poisson approximation scheme. (English) Zbl 1045.60097 Comput. Math. Appl. 46, No. 7, 1073-1079 (2003). MSC: 60K15 PDF BibTeX XML Cite \textit{V. S. Korolyuk} and \textit{N. Limnios}, Comput. Math. Appl. 46, No. 7, 1073--1079 (2003; Zbl 1045.60097) Full Text: DOI