Discrete-Time Markov Chains: Two-Time-Scale Methods and Applications

Prologue and Preliminaries.- Introduction, Overview, and Examples.- Mathematical Preliminaries.- Asymptotic Properties.- Asymptotic Expansions.- Occupation Measures.- Exponential Bounds.- Interim Summary and Extensions.- Applications.- Stability of Dynamic Systems.- Filtering.- Markov Decision Processes.- LQ Controls.- Mean-Variance Controls.- Production Planning.- Stochastic Approximation.