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Brief Course in Mathematical Statistics, A
Preface
1. Probability
1.1 Basic Concepts
1.2 Methods of Enumeration
1.3 Conditional Probability
1.4 Independent Events
1.5 Bayes's Theorem
Chapter One Comments
2. Discrete Distributions
2.1 Discrete Probability Distributions
2.2 Expectations
2.3 Special Discrete Distributions
2.4 Estimation
2.5 Linear Functions of Independent Random Variables
2.6 Multivariate Discrete Distributions
Chapter Two Comments
3. Continuous Distributions
3.1 Descriptive Statistics and EDA
3.2 Continuous Probability Distributions
3.3 Special Continuous Distributions
3.4 The Normal Distribution
3.5 Estimation in the Continuous Case
3.6 The Central Limit Theorem
3.7 Approximations for Discrete Distributions
Chapter Three Comemnts
4. Applications of Statistical Inference
4.1 Summary of Necessary Theoretical Results
4.2 Confidence Intervals Using X2 F,and T
4.3 Confidence Intervals and Tests of Hypotheses
4.4 Basic Tests Concerning One Parameter
4.5 Tests of the Equality of Two Parameters
4.6 Simple Linear Regression
4.7 More on Linear Regression
4.8 One-Factor Analysis of Variance
4.9 Distribution-Free Confidence and Tolerance Intervals