This is a thoroughly revised and expanded third edition of a successful university textbook that provides a broad introduction to key areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne.This book reviews the basics of probability theory and presents topics on Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. It also features elements of stochastic calculus and introductory mathematical finance. Thus enhancing the book’s suitability for a larger variety of university courses presenting the fundamentals of modern stochastic modelling.To make the text covering a lot of material more appealing and accessible to the reader, instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. It is in this aspect that the present, third edition differs from the second one: the included background material and argument sketches have been extended, made more graphical and informative. The whole text was reviewed and streamlined wherever possible for it to be more attractive and useful for readers. Wherever possible, the book includes references to more specialised texts on respective topics that contain both proofs and more advanced material.Key FeaturesA well-written brief introduction to stochastic modelling and related topicsThe third edition contains explanations of rigorous proofs (which were omitted or mentioned briefly in previous editions) are expanded and made more graphicalAimed at advanced level undergraduate and introductory level graduate courses on stochastic modelling for students in various programs who would have a good mathematical background and previous courses in probability theoryAn attractive option as a text on which a variety of modern courses for students majoring in science, electronic engineering, economics and actuarial science can be basedThe first two editions received very good reviews in professional journals and were adopted for a number of courses in universities around the world

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