Overview

The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition.  Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Modelsis designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.

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9781447153429

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From the reviews: MATHEMATICAL REVIEWS gives a concise non-measure theoretic introduction to the basics of probability theory and stochastic processes. The overall level is that of a first university course on the subject, given that the students have had introductory courses on linear algebra and real analysis. Numerous examples make the text fairly light reading the mathematically less trained reader will find the language (and terminology) used pleasant: no unnecessary pedantic notation is wasted. The more mathematically inclined reader will learn form both the examples and pedagogic line of approach. In summary, I find [this book] a useful text to have on my shelves and would consider using it as a textbook for science and engineering students. Mathematics students would benefit from it as a first contact with the world of randomness before delving deeper using a measure theoretic approach. ISI SHORT BOOK REVIEWS What makes this book so interesting is the fact that, in only two hundred and fifty pages, the reader is brought from the very beginning to a fairly high level in the knowledge of probability theory. ... There is a wealth of about two hundred exercisis, with solutions, which makes the book useful for teaching. ISI Short Book Reviews, Vol. 22/3, December 2002 The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation . this one is a nice choice, written in a broad and lively style. (P. Schmitt, Monatshefte fur Mathematik, Vol. 143 (1), 2004) A clear treatment of probability theory it has a great deal to recommend it. there is a real attempt to provide a readable account of the material without getting too bogged down in analytical detail and without ignoring the issues or resorting to over-simplification. It is good to have such specialized material in what is essentially a text for undergraduates, and I can recommend this stimulating book to anybody who

<p>From the reviews: <p>MATHEMATICAL REVIEWS <p> gives a concise non-measure theoretic introduction to the basics of probability theory and stochastic processes. The overall level is that of a first university course on the subject, given that the students have had introductory courses on linear algebra and real analysis. Numerous examples make the text fairly light reading the mathematically less trained reader will find the language (and terminology) used pleasant: no unnecessary pedantic notation is wasted. The more mathematically inclined reader will learn form both the examples and pedagogic line of approach. In summary, I find [this book] a useful text to have on my shelves and would consider using it as a textbook for science and engineering students. Mathematics students would benefit from it as a first contact with the world of randomness before delving deeper using a measure theoretic approach. <p>ISI SHORT BOOK REVIEWS <p> What makes this book so interesting is the fact that, in only two hundred and fifty pages, the reader is brought from the very beginning to a fairly high level in the knowledge of probability theory. ... There is a wealth of about two hundred exercisis, with solutions, which makes the book useful for teaching. <p>ISI Short Book Reviews, Vol. 22/3, December 2002 <p> The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation . this one is a nice choice, written in a broad and lively style. (P. Schmitt, Monatshefte fur Mathematik, Vol. 143 (1), 2004) <p> A clear treatment of probability theory it has a great deal to recommend it. there is a real attempt to provide a readable account of the material without getting too bogged down in analytical detail and without ignoring the issues or resorting to over-simplification. It is good to have such specialized material in what is essentially a text for undergraduates, and I can recommend this stimulating book to anybody who

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