Probability, statistics, and queueing theory with computer science applications

Cover......Page __sk_0000.djvu
Copyright......Page __sk_0002.djvu
Contents......Page __sk_0005.djvu
Preface......Page __sk_0009.djvu
Acknowledgments......Page __sk_0017.djvu
1 Introduction......Page __sk_0023.djvu
Part 1: Probability......Page __sk_0027.djvu
Preface to Part 1: Probability......Page __sk_0029.djvu
2.0 Introduction......Page __sk_0031.djvu
2.1 Sample Spaces and Events......Page __sk_0032.djvu
2.2 Probability Measures......Page __sk_0037.djvu
2.3 Combinatorial Analysis......Page __sk_0042.djvu
2.4 Conditional Probability......Page __sk_0046.djvu
2.5 Random Variables......Page __sk_0056.djvu
2.6 Parameters of Random Variables......Page __sk_0062.djvu
2.7 Jointly Distributed Random Variables......Page __sk_0068.djvu
2.8 Conditional Expectation......Page __sk_0082.djvu
2.9 Transform Methods......Page __sk_0089.djvu
2.10 Inequalities......Page __sk_0098.djvu
2.11 Exercises......Page __sk_0108.djvu
References......Page __sk_0128.djvu
3.0 Introduction......Page __sk_0131.djvu
3.1 Discrete Random Variables......Page __sk_0132.djvu
3.2 Continuous Random Variables......Page __sk_0143.djvu
3.3 Central Limit Theorem......Page __sk_0180.djvu
3.4 Applied Transforms......Page __sk_0186.djvu
3.5 Summary......Page __sk_0199.djvu
3.6 Exercises......Page __sk_0201.djvu
References......Page __sk_0218.djvu
4. 0 Introduction......Page __sk_0221.djvu
4.1 Definitions......Page __sk_0222.djvu
4.2 The Poisson Process......Page __sk_0226.djvu
4.3 Birth-and-Death Process......Page __sk_0231.djvu
4.4 Markov Chains......Page __sk_0241.djvu
4.5 Renewal Theory......Page __sk_0256.djvu
4.6 Exercises......Page __sk_0260.djvu
References......Page __sk_0262.djvu
Part 2: Queueing Theory......Page __sk_0265.djvu
Preface to Part 2: Queueing Theory......Page __sk_0267.djvu
5.0 Introduction......Page __sk_0269.djvu
5.1 Describing a Queueing System......Page __sk_0273.djvu
5.2 Birth-and-Death Process Models......Page __sk_0283.djvu
5.3 Embedded Markov Chain Systems......Page __sk_0323.djvu
5.4 Priority Queueing Systems......Page __sk_0346.djvu
5.5 Bounds And Approximations......Page __sk_0358.djvu
5. 7 Exercises......Page __sk_0364.djvu
References......Page __sk_0392.djvu
6.0 Introduction......Page __sk_0399.djvu
6.1 Finite Population Models......Page __sk_0403.djvu
6.2 Jackson Networks......Page __sk_0408.djvu
6.3 BCMP Queueing Networks......Page __sk_0422.djvu
6.5 Exercises......Page __sk_0439.djvu
References......Page __sk_0442.djvu
Part 3: Statistical Inference......Page __sk_0445.djvu
Preface to Part 3: Statistical Inference......Page __sk_0447.djvu
7.0 Introduction......Page __sk_0451.djvu
7.1 Estimators......Page __sk_0453.djvu
7.2 Confidence Intervals......Page __sk_0464.djvu
7.3 Exploratory Data Analysis......Page __sk_0472.djvu
7.4 Exercises......Page __sk_0499.djvu
References......Page __sk_0502.djvu
8.0 Introduction......Page __sk_0505.djvu
8.1 Hypothesis Test Procedure......Page __sk_0506.djvu
8.2 Tests of Means......Page __sk_0511.djvu
8.3 Tests of Variances......Page __sk_0523.djvu
8.4 Bernoulli Tests......Page __sk_0528.djvu
8.5 Chi-Square Tests......Page __sk_0537.djvu
8.6 EDF Tests......Page __sk_0546.djvu
8.7 Analysis of Variance......Page __sk_0556.djvu
8.8 Nonparametric Tests......Page __sk_0561.djvu
8.9 Summary Table......Page __sk_0568.djvu
8.10 Exercises......Page __sk_0570.djvu
References......Page __sk_0573.djvu
9.0 Introduction......Page __sk_0577.djvu
9.1 Simple Linear Regression......Page __sk_0579.djvu
9.2 Nonlinear Regression......Page __sk_0606.djvu
9.3 Multiple Linear Regression......Page __sk_0610.djvu
9.4 Exercises......Page __sk_0632.djvu
References......Page __sk_0638.djvu
Appendix A. Statistical Tables......Page __sk_0641.djvu
Appendix B. APL Programs......Page __sk_0661.djvu
Appendix C. Queueing Theory Formulas......Page __sk_0687.djvu
Appendix D. Mathematica Programs......Page __sk_0737.djvu
Appendix E. Answers to Exercises......Page __sk_0743.djvu
Index......Page __sk_0753.djvu