华章数学原版精品系列 随机模型概论 英文版 第4版 作者:(美)MarkA.Pinsky西北大学,(美)SamuelKarlin斯坦福大学 著 出版时间:2013年版 内容简介 Mark A. Pinsky and Samuel Karlin: An Introduction to Stochastic Modeling, Fourth Edition (ISBN 978-0-12-381416-6).Original English language edition copyright 2011 by Elsevier Inc. All rights reserved.Authorized English language reprint edition published by the Proprietor.Copyright 2013 by Elsevier (Singapore) Pte Ltd.Printed in China by China Machine Press under special arrangement with Elsevier (Singapore) Pte Ltd. This edition is authorized for sale in China only, excluding Hong Kong SAR, Macau SAR and Taiwan.Unauthorized export of this edition is a violation of the Copyright Act. Violation of this Law is subject to Civil and Criminal Penalties. 目录 Preface to the Fourth Edition Preface to the Third Edition Preface to the First Edition To the Instructor Acknowledgments Introduction 1.1 Stochastic Modeling 1.1.1 Stochastic Processes 1.2 Probability Review 1.2.1 Events and Probabilities 1.2.2 Random Variables 1.2.3 Moments and Expected Values 1.2.4 Joint Distribution Functions 1.2.5 Sums and Convolutions 1.2.6 Change of Variable 1.2.7 Conditional Probability 1.2.8 Review of Axiomatic Probability Theory 1.3 The Major Discrete Distributions 1.3.1 Bernoulli Distribution 1.3.2 Binomial Distribution 1.3.3 Geometric and Negative Binominal Distributions 1.3.4 The Poisson Distribution 1.3.5 The Multinomial Distribution 1.4 Important Continuous Distributions 1.4.1 The Normal Distribution 1.4.2 The Exponential Distribution 1.4.3 The Uniform Distribution 1.4.4 The Gamma Distribution 1.4.5 The Beta Distribution 1.4.6 The Joint Normal Distribution 1.5 Some Elementary Exercises 1.5.1 Tail Probabilities 1.5.2 The Exponential Distribution 1.6 Useful Functions, Integrals, and Sums ……