Introduction to Probability by Douglas Kelly

Designed for post-calculus undergraduate probability courses. This text thoroughly covers the concepts of probability, random variables, distributions, expected value, and the ramifications and applications of limit theorems. The text focuses on theory motivated by applications, especially in statistical inference and stochastic processes. Numerous examples and exercises accompany the text's accessible expository style. The author carefully builds student understanding by progressively reinforcing concepts and moving from concrete fundamentals to more abstract material. The topics are arranged so key concepts are introduced early. Standard distributions are introduced in the first chapter and are referred to throughout the book. The author's evenhanded treatment of this subject avoids overwhelming students in the first one or two chapters.