An introduction to measure-theoretic probability / [electronic resource] by George G. Roussas. Roussas, George G., author. Probabilities. Measure theory. QA273 .R864 2014eb 519.2 23 Includes bibliographical references and index. Print version record. "In this introductory chapter, the concepts of a field and of a [sigma]-field are introduced, they are illustrated bymeans of examples, and some relevant basic results are derived. Also, the concept of a monotone class is defined and its relationship to certain fields and [sigma]-fields is investigated. Given a collection of measurable spaces, their product space is defined, and some basic properties are established. The concept of a measurable mapping is introduced, and its relation to certain [sigma]-fields is studied. Finally, it is shown that any random variable is the pointwise limit of a sequence of simple random variables"-- Provided by publisher. 2014 Text 1 online resource http://www.sciencedirect.com/science/book/9780128000427 eng Introduction to measure-theoretic probability. Introduction to measure-theoretic probability.