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Table of Contents
Preface
List of symbols
Introduction
Part I: First-Rare-Event Times for Regularly Perturbed Semi-Markov Processes
Flows of Rare Events for Regularly Perturbed Semi-Markov Processes
Generalizations of Limit Theorems for First-Rare-Event Times
First-Rare-Event Times for Perturbed Risk Processes
First-Rare-Event Times for Perturbed Closed Queuing Systems
First-Rare-Event Times for Perturbed M/M-Type Queuing Systems
Part II: Hitting Times and Phase Space Reduction for Perturbed Semi-Markov Processes
Asymptotically Comparable Functions
Perturbed Semi-Markov Processes and Reduction of Phase Space
Asymptotics of Hitting Times for Perturbed Semi-Markov Processes
Asymptotics for Expectations of Hitting Times for Perturbed Semi-Markov Processes
Generalizations and Examples of Limit Theorems for Hitting Times
Limit Theorems for Randomly Stopped Stochastic Processes
Methodological and Bibliographical Notes
References
Index.
List of symbols
Introduction
Part I: First-Rare-Event Times for Regularly Perturbed Semi-Markov Processes
Flows of Rare Events for Regularly Perturbed Semi-Markov Processes
Generalizations of Limit Theorems for First-Rare-Event Times
First-Rare-Event Times for Perturbed Risk Processes
First-Rare-Event Times for Perturbed Closed Queuing Systems
First-Rare-Event Times for Perturbed M/M-Type Queuing Systems
Part II: Hitting Times and Phase Space Reduction for Perturbed Semi-Markov Processes
Asymptotically Comparable Functions
Perturbed Semi-Markov Processes and Reduction of Phase Space
Asymptotics of Hitting Times for Perturbed Semi-Markov Processes
Asymptotics for Expectations of Hitting Times for Perturbed Semi-Markov Processes
Generalizations and Examples of Limit Theorems for Hitting Times
Limit Theorems for Randomly Stopped Stochastic Processes
Methodological and Bibliographical Notes
References
Index.