Synopses & Reviews
This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published it was one of the earliest works in the field and treated the subject as a branch of the theory of completely additive set functions. In this edition the terminology has been modernized and several minor changes have been made.
Table of Contents
Preface to the first edition; Preface to the second edition; Preface to the third edition; Abbreviations; Part I. Principles: 1. Introductory remarks; 2. Axioms and preliminary theorems; Part II. Distributions in R1: 3. General properties; 4. Characteristic functions; 5. Addition of independent variables; 6. The normal distribution and the central limit theorem; 7. Error estimation; 8. A class of stochastic processes; Part III. Distributions in R2: 9. General properties; 10. The normal distribution and the central limit theorem; Bibliography.