Perturbed semi-markov type processes. II, Ergodic theorems for multi-alternating regenerative processes [electronic resource]

• 作者： Silvestrov, Dmitrii.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Ergodic theorems for multi-alternating regenerative processes
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 主題： Markov processes. , Probability Theory. , Stochastic Processes.
• ISBN： 9783030923990 (electronic bk.) 、 9783030923983 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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