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An introduction to measure-theoretic probability /
"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 inve...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Amsterdam ; New York :
Academic Press, an imprint of Elsevier,
2014.
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| Édition: | Second edition. |
| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | "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"-- |
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| Description matérielle: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780128002902 0128002905 |