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| Online-Ressource |
Verfasst von: | Silvestrov, Dmitrii [VerfasserIn] |
Titel: | Perturbed Semi-Markov Type Processes II |
Titelzusatz: | Ergodic Theorems for Multi-Alternating Regenerative Processes |
Verf.angabe: | by Dmitrii Silvestrov |
Ausgabe: | 1st ed. 2022. |
Verlagsort: | Cham |
| Cham |
Verlag: | Springer International Publishing |
| Imprint: Springer |
E-Jahr: | 2022 |
Jahr: | 2022. |
| 2022. |
Umfang: | 1 Online-Ressource(XVII, 413 p. 10 illus., 5 illus. in color.) |
Gesamttitel/Reihe: | Springer eBook Collection |
ISBN: | 978-3-030-92399-0 |
Abstract: | Preface -- List of symbols -- Introduction -- Part I: Ergodic Theorems for Perturbed Alternating Regenerative Processes -- Ergodic Theorems for Perturbed Regenerative Processes -- Perturbed Alternating Regenerative Processes -- Ergodic Theorems for Regularly Perturbed Alternating Regenerative Processes -- Ergodic Theorems for Regularly Perturbed Alternating Regenerative Processes Compressed in Time -- Super-Long and Long Time Ergodic Theorems for Singularly Perturbed Alternating Regenerative Processes -- Short Time Ergodic Theorems for Singularly Perturbed Alternating Regenerative Processes -- Ergodic Theorems for Singularly Perturbed Alternating Regenerative Processes Compressed in Time -- Ergodic Theorems for Super-Singularly Perturbed Alternating Regenerative Processes -- Part II: Ergodic Theorems for Perturbed Multi-Alternating Regenerative Processes -- Perturbed Multi-Alternating Regenerative Processes -- Time-Space Aggregation of Regeneration Times for Perturbed Multi-Alternating Regenerative Processes -- Embedded Processes for Perturbed Multi-Alternating Regenerative Processes -- Ergodic Theorems for Perturbed Multi-Alternating Regenerative Processes -- Perturbed Renewal Equation -- Supplementary Asymptotic Results -- Methodological and Bibliography Notes -- References -- Index -- . |
| This book is the second volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. The second volume presents a complete classification of ergodic theorems for alternating regenerative processes, including more than twenty-five such theorems. The text addresses new asymptotic recurrent algorithms of phase space reduction for multi-alternating regenerative processes modulating by regularly and singularly perturbed finite semi-Markov processes. It also features a new study of super-long, long, and short time ergodic theorems for these processes. The book also contains a comprehensive bibliography of major works in the field. It provides an effective reference for both graduate students as well as theoretical and applied researchers studying stochastic processes and their applications. |
DOI: | doi:10.1007/978-3-030-92399-0 |
URL: | Resolving-System: https://doi.org/10.1007/978-3-030-92399-0 |
| Cover: https://swbplus.bsz-bw.de/bsz1796264873cov.jpg |
| DOI: https://doi.org/10.1007/978-3-030-92399-0 |
Datenträger: | Online-Ressource |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe |
| Erscheint auch als : Druck-Ausgabe |
| Erscheint auch als : Druck-Ausgabe |
K10plus-PPN: | 1796264873 |
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Lokale URL UB: | Zum Volltext |
978-3-030-92399-0
Perturbed Semi-Markov Type Processes II / Silvestrov, Dmitrii [VerfasserIn]; 2022. (Online-Ressource)
68897141