TY  - BOOK
AU  - Roussas,George G.
TI  - An introduction to measure-theoretic probability
SN  - 9780128000427 
AV  - QA273 .R864 2014
U1  - 519.2 23
PY  - 2014///
CY  - Amsterdam
PB  - Elsevier
KW  - Probability
KW  - Measure theory
N1  - Includes bibliographical references and index
N2  - "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"--
ER  -