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Discrete-Time Markov Chains

Discrete-Time Markov Chains

Two-Time-Scale Methods and Applications

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This book focuses on the theory and applications of discrete-time two-time-scale Markov chains. Much effort in this book is devoted to designing system models arising from these applications, analyzing them via analytic and probabilistic techniques, and developing feasible computational algorithms so as to reduce the inherent complexity. This book presents results including asymptotic expansions of probability vectors, structural properties of occupation measures, exponential bounds, aggregation and decomposition and associated limit processes, and interface of discrete-time and continuous-tim...