Ebook: Concepts of Probability Theory: Second Revised Edition

Cover Page; Title Page; Copyright Page; PREFACE; Contents; Chapter 1. Introduction; 1-1. Basic Ideas and the Classical Definition; 1-2. Motivation for a More General Theory; Selected References; Chapter 2. A Mathematical Model for Probability; 2-1. In Search of a Model; 2-2. A Model for Events and Their Occurrence; 2-3. A Formal Definition of Probability; 2-4. An Auxiliary Model-Probability as Mass; 2-5. Conditional Probability; 2-6. Independence in Probability Theory; 2-7. Some Techniques for Handling Events; 2-8. Further Results on Independent Events; 2-9. Some Comments on Strategy.;This approach to the basics of probability theory employs the simple conceptual framework of the Kolmogorov model, a method that comprises both the literature of applications and the literature on pure mathematics. The author also presents a substantial introduction to the idea of a random process. Intended for college juniors and seniors majoring in science, engineering, or mathematics, the book assumes a familiarity with basic calculus. After a brief historical introduction, the text examines a mathematical model for probability, random variables and probability distributions, sums and integ.