Perturbed Semi-Markov Type Processes II

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  • Perturbed Semi-Markov Type Processes II Book Detail

  • Author : Dmitrii Silvestrov
  • Release Date : 2022-03-21
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 420
  • ISBN 13 : 3030923991
  • File Size : 54,54 MB

Perturbed Semi-Markov Type Processes II by Dmitrii Silvestrov PDF Summary

Book Description: 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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