<p>Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory and random walks deal inadequately with their applications. Written in a simple and accessible manner, this book addresses that inadequacy and provides guidelines and tools to study the applications. The coverage includes research developments in Markov property, martingales, regenerative phenomena and Tauberian theorems, and covers measure theory at an elementary level.</p>

STOCHASTIC PROCESSES: BASIC THEORY AND ITS APPLICATIONS

Science & Math

Prabhu, Narahari U

Mathematics

World Scientific Publishing Company

<p>The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.</p>

Markov-Modulated Processes and Semiregenerative Phenomena

Tang, Loon Ching

Pacheco, Antonio

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Books by Prabhu, Narahari U