Perturbed Semi-Markov Type Processes Ii: Ergodic Theorems For Multi-Alternating Regenerative Processes - 9783030924010

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.

• | Author: Dmitrii Silvestrov
• | Publisher: Springer
• | Publication Date: Mar 23, 2023
• | Number of Pages: 430 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 3030924017
• | ISBN-13: 9783030924010