Preface xi
0 Introduction 1
Part I Basic Probability 7
1 Combinatorics 9
2 Probability spaces and counting 43
3 Symmetric spaces and conditioning 73
Part II Discrete Random Variables 111
4 Univariate random variables 113
5 Multivariate random variables 165
6 Sums of random variables 197
Part III Continuous Random Variables 237
7 Continuous univariate random variables 239
8 Joint and conditional random variables 285
9 Multivariate transformations 323
Appendices 343
A Calculus review 343
B Notation tables 435
C Distribution tables 441
References 451
Index 461