Nonlinearly Perturbed Semi-Markov Processes

Released on by Dmitrii Silvestrov
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  • Nonlinearly Perturbed Semi-Markov Processes Book Detail

  • Author : Dmitrii Silvestrov
  • Release Date : 2017-09-06
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 151
  • ISBN 13 : 3319609882
  • File Size : 75,75 MB
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Nonlinearly Perturbed Semi-Markov Processes by Dmitrii Silvestrov PDF Summary

Book Description: The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come.

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Nonlinearly Perturbed Semi-Markov Processes

Nonlinearly Perturbed Semi-Markov Processes

File Size : 12,12 MB
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The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on speci

Perturbed Semi-Markov Type Processes I

Perturbed Semi-Markov Type Processes I

File Size : 39,39 MB
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This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains,

Perturbed Semi-Markov Type Processes II

Perturbed Semi-Markov Type Processes II

File Size : 65,65 MB
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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