An Introduction to Probability and Statistical Inference

Chapter 1 Some Motivating Examples and Some Fundamental Concepts
Chapter 2 The Concept of Probability and Some Basic Results
Chapter 3 Numerical Characteristics of a Random Variable, Some Special Random Variables
Chapter 4 Joint and Conditional p.d.f.'s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient
Chapter 5 Independence of Random Variables and Some Applications
Chapter 6 Transformation of Random Variables
Chapter 7 Some Modes of Convergence of Random Variables, Applications
Chapter 8 An Overview of Statistical Inference
Chapter 9 Point Estimation
Chapter 10 Confidence Intervals and Confidence Regions
Chapter 11 Testing Hypotheses
Chapter 12 More About Testing Hypotheses
Chapter 13 A Simple Linear Regression Model
Chapter 14 Two Analysis of Variance Models
Chapter 15 Some Topics in Nonparametric Inference