Probability via Expectation / Edition 3

by Peter Whittle

Overview

This classical text, here presented in a third and completely rewritten edition, has been widely used as an introduction to probability. Its main aim is to present a straightforward introduction to the main concepts and applications of probability at an undergraduate level.All the main concepts of a first course in probability are covered including probability measures, independence, conditional probability, the basic limit theorems, and Markov processes.

Product Details

ISBN-13:	9780387977645
Publisher:	Springer New York
Publication date:	05/14/1992
Series:	Springer Texts in Statistics
Edition description:	3rd ed. 1992
Pages:	300
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Uncertainty, Intuition and Expectation.- Expectation.- Probability.- Some Basic Models.- Conditioning.- Applications of the Independence Concept.- The Two Basic Limit Theorems.- Continuous Random Variables and Their Transformations.- Markov Processes in Discrete Time.- Markov Processes in Continuous Time.- Action Optimisation: Dynamic Programming.- Optimal Resource Allocation.- Finance: Option Pricing and the Implied Martingale.- Second-Order Theory.- Consistency and Extension: The Finite-Dimensional Case.- Shastic Convergence.- Martingales.- Extension: Examples of the Infinite-Dimensional Case.- Large-Deviation Theory.- Quantum Mechanics.

Editorial Reviews

A textbook for an introductory undergraduate course in probability theory, first published in 1970, and revised in 1976. The novelty of the approach is its basis on the subject's expectation rather than on probability measures. Assumes a fair degree of mathematical sophistication. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

This surprising and beautiful introduction to concepts of probability … chapters have been added which deal with areas of big actual interest … .” (Peter Imkeller, zbMATH 0980.60004, 2022)

From the reviews of the fourth edition:

"... a clear success in its unorthodoxy, Probability via Expectation has become a treasured classic."
P.A.L. Emrechts in "Short Book Reviews", Vol. 21/1, April, 2001

"Apart from presenting a case for the development of probability theory by using the expectation operator rather than probability measure as the primitive notion, a second distinctive feature of this book is the very large range of modern applications that it covers. Many of these are addressed by more than 350 exercises interspersed throughout the text. In summary, this well written book is a … introduction to probability theory and its applications." (Norbert Henze, Metrika, November, 2002)

"Originally published in 1970, this book has stood the test of time. … the text demonstrates a modern alternative approach to a now classical field. … The fourth edition contains a number of modifications and corrections. New material on dynamic programming, optimal allocation, options pricing and large deviations is included." (Martin T. Wells, Journal of the American Statistical Association, September 2001)

From the Publisher