This graduate work on stochastic processes provides a self- contained and systematic treatment of major topics such as random walk, Brownian motion, martingales, Markov chains indiscrete and continuous, stochastic optimization and stochastic differential equations. Beginning at a very simple technical level, the book gradually builds intuition and familiarity with techniques. For greater flexibility in instruction, some technical details are relegated to the end of each chapter under the label "theoretical complements". In this way the main body of the work becomes accessible to a wide range of readers, while the "theoretical complements" sections make the book mathematically complete for the more advanced reader.
"synopsis" may belong to another edition of this title.
'This may be the best all-around treatment [of stochastic processes] for use by graduate students with varied backgrounds but with some mathematical ambitions.' William G. Faris, University of Arizona
'The book is remarkably comprehensive. The additional notes at the end of the chapters contain a fund of information.' Richard F. Gundy, Rutgers University
A very broad coverage of the most applicable aspects of stochastic processes. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. It is for graduate students, but will also be useful to professionals as a reference.
"About this title" may belong to another edition of this title.
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