Introduction to Probability and Statistical Inference Book

Some Motivating Examples and Some Fundamental Concepts; The Concept of Probability and Some Basic Results; Numerical Characteristics of a Random Variable, Some Special Random Variables; Joint and Conditionalp.d.f:s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient; Independence of Random Variables and Some Applications; Transformation of Random Variables; Modes of Convergence of Random Variables, Applications; An Overview of Statistical Inference; Point Estimation; Confidence Intervals and Confidence Regions; Testing Hypotheses; More About Testing Hypotheses; A Simple Linear Regression Model; Two Analysis of Variance Models; Some Topics in Nonparametric Inference