001472005 000__ 03253cam\\2200613\i\4500 001472005 001__ 1472005 001472005 003__ OCoLC 001472005 005__ 20230908003325.0 001472005 006__ m\\\\\o\\d\\\\\\\\ 001472005 007__ cr\un\nnnunnun 001472005 008__ 230727s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001472005 020__ $$a9783031334290$$q(electronic bk.) 001472005 020__ $$a3031334299$$q(electronic bk.) 001472005 020__ $$z3031334280 001472005 020__ $$z9783031334283 001472005 0247_ $$a10.1007/978-3-031-33429-0$$2doi 001472005 035__ $$aSP(OCoLC)1391130948 001472005 040__ $$aYDX$$beng$$erda$$cYDX$$dGW5XE 001472005 049__ $$aISEA 001472005 050_4 $$aQA274.45 001472005 08204 $$a519.2/33$$223/eng/20230731 001472005 1001_ $$aLimnios, N.$$q(Nikolaos),$$eauthor. 001472005 24510 $$aDiscrete-time semi-Markov random evolutions and their applications /$$cNikolaos Limnios, Anatoliy Swishchuk. 001472005 264_1 $$aCham :$$bBirkhäuser,$$c[2023] 001472005 264_4 $$c©2023 001472005 300__ $$a1 online resource (xvi, 198 pages) :$$billustrations. 001472005 336__ $$atext$$btxt$$2rdacontent 001472005 337__ $$acomputer$$bc$$2rdamedia 001472005 338__ $$aonline resource$$bcr$$2rdacarrier 001472005 4901_ $$aProbability and its applications 001472005 504__ $$aIncludes bibliographical references and index. 001472005 506__ $$aAccess limited to authorized users. 001472005 520__ $$aThis book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and their extensions in some additional directions, including reduced random media, controlled processes, and optimal stopping. Finally, applications of discrete-time semi-Markov random evolutions in epidemiology and financial mathematics are discussed. This book will be of interest to researchers and graduate students in applied mathematics and statistics, and other disciplines, including engineering, epidemiology, finance and economics, who are concerned with stochastic models of systems. 001472005 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 31, 2023). 001472005 650_0 $$aMarkov random fields. 001472005 650_0 $$aDiscrete-time systems. 001472005 655_0 $$aElectronic books. 001472005 7001_ $$aSwishchuk, Anatoliy,$$eauthor. 001472005 77608 $$iPrint version:$$z3031334280$$z9783031334283$$w(OCoLC)1376743724 001472005 830_0 $$aProbability and its applications (Springer-Verlag) 001472005 852__ $$bebk 001472005 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33429-0$$zOnline Access$$91397441.1 001472005 909CO $$ooai:library.usi.edu:1472005$$pGLOBAL_SET 001472005 980__ $$aBIB 001472005 980__ $$aEBOOK 001472005 982__ $$aEbook 001472005 983__ $$aOnline 001472005 994__ $$a92$$bISE