Coupling and Ergodic Theorems for Semi-Markov-Type Processes I
Preface.- Introduction.- Coupling for Random Variables.- Coupling and Ergodic Theorems for Finite Markov Chains.- Coupling and Ergodic Theorems for General Markov Chains.- Hitting Times and Method of Test Functions.- Approaching of Renewal Schemes.- Synchronizing of Shifted Renewal Schemes.- Coupling for Renewal Schemes.- Coupling and Ergodic Theorems for Regenerative Processes.- Uniform Ergodic Theorems for Regenerative Processes.- Generalized Ergodic Theorems for Regenerative Processes.- Coupling and the Renewal Theorem.- Appendix A. Basic Ergodic Theorems for Regenerative Processes.- Appendix B. Methodological and Bibliographical Notes.- References.- Index.












