Introduction to Measure -Theoretic Probability, Hardcover by Roussas, George ...

Introduction to Measure -Theoretic Probability, Hardcover by Roussas, George G., ISBN 0128000422, ISBN-13 9780128000427, Like New Used, Free shipping in the US "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 , 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"--

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