斯圖爾特著的《概率論馬爾科夫鏈排隊和模擬》是一部講述如何挖掘蘊藏在模型表現形式背後的數學過程的**作品。詳細的數學推導和大量圖例使得*加易於研究生和高年級本科生作為學習隨機過程的教材和參考資料。本書應用廣泛，也適用於計算科學、工程、運籌學、統計和數學等學科。

Preface and Acknowledgments
Ⅰ PROBABILITY
1 Probability
1.1 Trials, Sample Spaces, and Events
1.2 Probability Axioms and Probability Space
1.3 Conditional Probability
1.4 Independent Events
1.5 Law of Total Probability
1.6 Bayes' Rule
1.7 Exercises
2 Combinatorics-The Art of Counting
2.1 Permutations
2.2 Permutations with Replacements
2.3 Permutations without Replacement
2.4 Combinations without Replacement
2.5 Combinations with Replacements
2.6 Bernoulli (Independent) Trials
2.7 Exercises
3 Random Variables and Distribution Functions
3.1 Discrete and Continuous Random Variables
3.2 The Probability Mass Function for a Discrete Random Variable
3.3 The Cumulative Distribution Function
3.4 The Probability Density Function for a Continuous Random Variable
3.5 Functions of a Random Variable
3.6 Conditioned Random Variables
3.7 Exercises
4 Joint and Conditional Distributions
4.1 Joint Distributions
4.2 Joint Cumulative Distribution Functions
4.3 Joint Probability Mass Functions
4.4 Joint Probability Density Functions
4.5 Conditional Distributions
4.6 Convolutions and the Sum of Two Random Variables
4.7 Exercises
5 Expectations and More
5.1 Definitions
5.2 Expectation of Functions and Joint Random Variables
5.3 Probability Generating Functions for Discrete Random Variables
5.4 Moment Generating Functions
5.5 Maxima and Minima of Independent Random Variables
5.6 Exercises
6 Discrete Distribution Functions
6.1 The Discrete Uniform Distribution
6.2 The Bernoulli Distribution
6.3 The Binomial Distribution
6.4 Geometric and Negative Binomial Distributions
6.5 The Poisson Distribution
6.6 The Hypergeometric Distribution
6.7 The Multinomial Distribution
6.8 Exercises
Continuous Distribution Functions
7.1 The Uniform Distribution
7.2 The Exponential Distribution
7.3 The Normal or Gaussian Distribution
7.4 The Gamma Distribution
7.5 Reliability Modeling and the Weibull Distribution
7.6 Phase-Type Distributions
7.6.1 The Erlang-2 Distribution
7.6.2 The Erlang-r Distribution
7.6.3 The Hypoexponential Distribution
7.6.4 The Hyperexponential Distribution
7.6.5 The Coxian Distribution
7.6.6 General Phase-Type Distributions
7.6.7 Fitting Phase-Type Distributions to Means and Variances
7.7 Exercises
8 Bounds and Limit Theorems
8.1 The Markov Inequality
8.2 The Chebychev Inequality
8.3 The Chernoff Bound
8.4 The Laws of Large Numbers
8.5 The Central Limit Theorem
8.6 Exercises
Ⅱ MARKOV CHAINS
Ⅲ QUEUEING MODELS
Ⅳ SIMULATION
Appendix A: The Greek Alphabet
Appendix B: Elements of Linear Algebra
Bibliography
Index