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|a 9783110208252
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|a Gyllenberg, Mats
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|a Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems
|h Elektronische Ressource
|c Mats Gyllenberg, Dmitrii S. Silvestrov
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| 260 |
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|a Berlin
|b De Gruyter
|c 2008, [2008]©2008
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| 300 |
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|a 591 p.
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| 653 |
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|a Markowscher Prozess
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| 653 |
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|a Renewal Equation
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| 653 |
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|a Nonlinearly Perturbed Regenerative Processes
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| 653 |
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|a Stochastischer Prozess
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| 653 |
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|a Semi-Markov Processes
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| 653 |
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|a Markov Chains
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| 653 |
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|a MATHEMATICS / Probability & Statistics / General / bisacsh
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| 700 |
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|a Silvestrov, Dmitrii S.
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
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|a De Gruyter Expositions in Mathematics
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| 500 |
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|a Mode of access: Internet via World Wide Web
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| 028 |
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|a 10.1515/9783110208252
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|t DG Expositions in Mathematics Backlist eBook Package
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| 773 |
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|t DGBA Backlist Mathematics English Language 2000-2014
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| 773 |
0 |
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|t DGBA Backlist Complete English Language 2000-2014 PART1
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| 773 |
0 |
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|t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008
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| 773 |
0 |
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|t DGBA Mathematics 2000 - 2014
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| 773 |
0 |
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|t E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008
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| 773 |
0 |
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|t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008
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| 856 |
4 |
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|u https://www.degruyter.com/doi/book/10.1515/9783110208252?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 519.23
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| 520 |
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|a The book is devoted to studies of quasi-stationary phenomena in nonlinearly perturbed stochastic systems. New methods of asymptotic analysis for nonlinearly perturbed stochastic processes based on new types of asymptotic expansions for perturbed renewal equation and recurrence algorithms for construction of asymptotic expansions for Markov type processes with absorption are presented. Asymptotic expansions are given in mixed ergodic (for processes) and large deviation theorems (for absorption times) for nonlinearly perturbed regenerative processes, semi-Markov processes, and Markov chains. Applications to analysis of quasi-stationary phenomena in nonlinearly perturbed queueing systems, population dynamics and epidemic models, and for risk processes are presented. The book also contains an extended bibliography of works in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications and may be also useful for doctoral and advanced undergraduate students
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