An introduction to measure-theoretic probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier Academic Press
©2005
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail.* Excellent exposition marked by a clear, coherent and logical devleopment of the subject* Easy to understand, detailed discussion of material* Complete proofs Front Cover; An Introduction to Measure-Theoretic Probability; Copyright Page; TABLE OF CONTENTS; PREFACE; CHAPTER 1. Certain Classes of Sets, Measurability, and Pointwise Approximation; 1. Measurable spaces; 2. Product measurable spaces; 3. Measurable functions and random variables; Exercises; CHAPTER 2. Definition and Construction of a Measure and Its Basic Properties; 1. About measures in general, and probability measures in particular; 2. Outer measures; 3. The Carathéodory extension theorem; 4. Measures and (point) functions; Exercises |
| Beschreibung: | 1 Online-Ressource (xviii, 443 pages) |
| ISBN: | 0080575307 0125990227 9780080575308 9780125990226 |
Internformat
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| 100 | 1 | |a Roussas, George G. |d 1933- |e Verfasser |0 (DE-588)122639596 |4 aut | |
| 245 | 1 | 0 | |a An introduction to measure-theoretic probability |c George G. Roussas |
| 264 | 1 | |a Amsterdam |b Elsevier Academic Press |c ©2005 | |
| 300 | |a 1 Online-Ressource (xviii, 443 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail.* Excellent exposition marked by a clear, coherent and logical devleopment of the subject* Easy to understand, detailed discussion of material* Complete proofs | ||
| 500 | |a Front Cover; An Introduction to Measure-Theoretic Probability; Copyright Page; TABLE OF CONTENTS; PREFACE; CHAPTER 1. Certain Classes of Sets, Measurability, and Pointwise Approximation; 1. Measurable spaces; 2. Product measurable spaces; 3. Measurable functions and random variables; Exercises; CHAPTER 2. Definition and Construction of a Measure and Its Basic Properties; 1. About measures in general, and probability measures in particular; 2. Outer measures; 3. The Carathéodory extension theorem; 4. Measures and (point) functions; Exercises | ||
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General |2 bisacsh | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Probabilities |2 fast | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Measure theory | |
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Datensatz im Suchindex
| _version_ | 1804175433141321728 |
|---|---|
| any_adam_object | |
| author | Roussas, George G. 1933- |
| author_GND | (DE-588)122639596 |
| author_facet | Roussas, George G. 1933- |
| author_role | aut |
| author_sort | Roussas, George G. 1933- |
| author_variant | g g r gg ggr |
| building | Verbundindex |
| bvnumber | BV043059369 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)787847128 (DE-599)BVBBV043059369 |
| 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 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:16:12Z |
| institution | BVB |
| isbn | 0080575307 0125990227 9780080575308 9780125990226 |
| language | English |
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| physical | 1 Online-Ressource (xviii, 443 pages) |
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| spelling | Roussas, George G. 1933- Verfasser (DE-588)122639596 aut An introduction to measure-theoretic probability George G. Roussas Amsterdam Elsevier Academic Press ©2005 1 Online-Ressource (xviii, 443 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail.* Excellent exposition marked by a clear, coherent and logical devleopment of the subject* Easy to understand, detailed discussion of material* Complete proofs Front Cover; An Introduction to Measure-Theoretic Probability; Copyright Page; TABLE OF CONTENTS; PREFACE; CHAPTER 1. Certain Classes of Sets, Measurability, and Pointwise Approximation; 1. Measurable spaces; 2. Product measurable spaces; 3. Measurable functions and random variables; Exercises; CHAPTER 2. Definition and Construction of a Measure and Its Basic Properties; 1. About measures in general, and probability measures in particular; 2. Outer measures; 3. The Carathéodory extension theorem; 4. Measures and (point) functions; Exercises MATHEMATICS / Probability & Statistics / General bisacsh Measure theory fast Probabilities fast Probabilities Measure theory Maßtheorie (DE-588)4074626-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Maßtheorie (DE-588)4074626-4 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=503100 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Roussas, George G. 1933- An introduction to measure-theoretic probability MATHEMATICS / Probability & Statistics / General bisacsh 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 George G. Roussas |
| title_fullStr | An introduction to measure-theoretic probability George G. Roussas |
| title_full_unstemmed | An introduction to measure-theoretic probability George G. Roussas |
| title_short | An introduction to measure-theoretic probability |
| title_sort | an introduction to measure theoretic probability |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh Measure theory fast Probabilities fast Probabilities Measure theory Maßtheorie (DE-588)4074626-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | MATHEMATICS / Probability & Statistics / General Measure theory Probabilities Maßtheorie Wahrscheinlichkeitstheorie Einführung |
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