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Titlebook: Probability Models; John Haigh Textbook 20021st edition Springer-Verlag London 2002 Conditional probability.First Year.Probability.Probabi

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书目名称Probability Models
编辑John Haigh
视频video
概述Takes a new approach - considers probabilistic problems and sets them up in a consistent logical framework to reach convincing answers.Includes a wealth of exercises, all with solutions.Includes a ran
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Probability Models;  John Haigh Textbook 20021st edition Springer-Verlag London 2002 Conditional probability.First Year.Probability.Probabi
描述.Probability Models. is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. 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 via dice and 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. No specific knowledge of the subject is assumed, only a familiarity with the notions of calculus, and the summation of series. Where the full story would call for a deeper mathematical background, the difficulties are noted and appropriate references given. The main topics arise naturally, with definitions and theorems supported by fully worked examples and some 200 set exercises, all with solutions.
出版日期Textbook 20021st edition
关键词Conditional probability; First Year; Probability; Probability Theory; Probability distribution; Probabili
版次1
doihttps://doi.org/10.1007/978-1-4471-0169-7
isbn_ebook978-1-4471-0169-7Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2002
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Stochastic Processes in Continuous Time, chains, with some specific applications. The general theory of such chains requires a much deeper mathematical background than is assumed for this book; the excellent texts by Chung (1960) and Norris (1997) provide fascinating reading matter, and justify the assertions we make without proof.
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Convergence and Limit Theorems,but when a particular sequence is written down, it is usually plain whether or not it converges, and what its limit is, to a good approximation. Matters are far less clearcut with a sequence of random variables.
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John Haigh MA, PhD geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featur978-1-0716-1457-0Series ISSN 2629-2327 Series E-ISSN 2629-2343
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