An introduction to measure-theoretic probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Academic Press, an imprint of Elsevier
2014
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| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | FUBA1 Volltext |
| Beschreibung: | "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"-- Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9780128002902 0128002905 9780128000427 |
| DOI: | 10.1016/C2012-0-07652-1 |
Internformat
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| 245 | 1 | 0 | |a An introduction to measure-theoretic probability |c by George G. Roussas |
| 250 | |a Second edition | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Academic Press, an imprint of Elsevier |c 2014 | |
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| 500 | |a "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"-- | ||
| 500 | |a Includes bibliographical references and index | ||
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| 650 | 7 | |a Probabilities |2 fast | |
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Datensatz im Suchindex
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| author | Roussas, George G. 1933- |
| author_GND | (DE-588)122639596 |
| author_facet | Roussas, George G. 1933- |
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| author_sort | Roussas, George G. 1933- |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1016/C2012-0-07652-1 |
| edition | Second edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:17:41Z |
| institution | BVB |
| isbn | 9780128002902 0128002905 9780128000427 |
| language | English |
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| spelling | Roussas, George G. 1933- Verfasser (DE-588)122639596 aut An introduction to measure-theoretic probability by George G. Roussas Second edition Amsterdam [u.a.] Academic Press, an imprint of Elsevier 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier "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"-- Includes bibliographical references and index Measure theory fast Probabilities fast Probabilities Measure theory Maßtheorie (DE-588)4074626-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Maßtheorie (DE-588)4074626-4 s 1\p DE-604 https://doi.org/10.1016/C2012-0-07652-1 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Roussas, George G. 1933- An introduction to measure-theoretic probability Measure theory fast Probabilities fast Probabilities Measure theory Maßtheorie (DE-588)4074626-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4074626-4 (DE-588)4079013-7 (DE-588)4151278-9 |
| title | An introduction to measure-theoretic probability |
| title_auth | An introduction to measure-theoretic probability |
| title_exact_search | An introduction to measure-theoretic probability |
| title_full | An introduction to measure-theoretic probability by George G. Roussas |
| title_fullStr | An introduction to measure-theoretic probability by George G. Roussas |
| title_full_unstemmed | An introduction to measure-theoretic probability by George G. Roussas |
| title_short | An introduction to measure-theoretic probability |
| title_sort | an introduction to measure theoretic probability |
| topic | Measure theory fast Probabilities fast Probabilities Measure theory Maßtheorie (DE-588)4074626-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Measure theory Probabilities Maßtheorie Wahrscheinlichkeitstheorie Einführung |
| url | https://doi.org/10.1016/C2012-0-07652-1 |
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