Probability Models
Edition: 1st ed. 2002. Corr. 2nd printing edition
Publisher: Springer
Published: September 24, 2004
Language: eng
Format: Paperback
Number of pages: 256
ISBN-13: 9781852334314
Subjects: Probability & statistics; Probabilities; Mathematics; Science/Mathematics; Probability & Statistics - General; First Year; Mathematics / Statistics; Probability; Probability Theory; SUMS; undergrate textbook
First sentence: Imagine that some experiment involving random chance takes place, and use the symbol to denote the set of all possible outcomes.
Description: 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.