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Probability Models

  • John Haigh

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-viii
  2. John Haigh
    Pages 1-22
  3. John Haigh
    Pages 45-60
  4. John Haigh
    Pages 61-91
  5. John Haigh
    Pages 93-116
  6. John Haigh
    Pages 117-137
  7. John Haigh
    Pages 139-168
  8. John Haigh
    Pages 169-222
  9. Back Matter
    Pages 227-256

About this book

Introduction

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.

Keywords

Conditional probability First Year Probability Probability Theory Probability distribution Probability space Random variable SUMS undergrate textbook

Authors and affiliations

  • John Haigh
    • 1
  1. 1.Centre for Statistics and Stochastic Modelling, School of Mathematical SciencesUniversity of SussexFalmer, BrightonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0169-7
  • Copyright Information Springer-Verlag London Limited 2002
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-431-4
  • Online ISBN 978-1-4471-0169-7
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site