Written by two leading statisticians, this applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
1. Probability
2. Discrete Distributions
3. Continuous Distributions
4. Bivariate Distributions
5. Distributions
6. Distributions of Functions of Random Variables
7. Tests of Statistical Hypotheses
8. Nonparametric Methods
9. Bayesian Methods
10. Some Theory
etc.