Real Analysis and Probability: Probability and Mathematical Statistics: a Series of Monographs and Textbooks
Real Analysis and Probability provides the background in real analysis needed for the study of probability. Topics covered range from measure and integration theory to functional analysis and basic concepts of probability. The interplay between measure theory and topology is also discussed, along wi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Saint Louis
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | Real Analysis and Probability provides the background in real analysis needed for the study of probability. Topics covered range from measure and integration theory to functional analysis and basic concepts of probability. The interplay between measure theory and topology is also discussed, along with conditional probability and expectation, the central limit theorem, and strong laws of large numbers with respect to martingale theory.Comprised of eight chapters, this volume begins with an overview of the basic concepts of the theory of measure and integration, followed by a presentation of various applications of the basic integration theory. The reader is then introduced to functional analysis, with emphasis on structures that can be defined on vector spaces. Subsequent chapters focus on the connection between measure theory and topology; basic concepts of probability; and conditional probability and expectation. Strong laws of large numbers are also examined, first from the classical viewpoint, and then via martingale theory. The final chapter is devoted to the one-dimensional central limit problem, paying particular attention to the fundamental role of Prokhorov's weak compactness theorem.This book is intended primarily for students taking a graduate course in probability |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (495 pages) |
| ISBN: | 9781483191423 9780120652013 |
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| 520 | |a Real Analysis and Probability provides the background in real analysis needed for the study of probability. Topics covered range from measure and integration theory to functional analysis and basic concepts of probability. The interplay between measure theory and topology is also discussed, along with conditional probability and expectation, the central limit theorem, and strong laws of large numbers with respect to martingale theory.Comprised of eight chapters, this volume begins with an overview of the basic concepts of the theory of measure and integration, followed by a presentation of various applications of the basic integration theory. The reader is then introduced to functional analysis, with emphasis on structures that can be defined on vector spaces. Subsequent chapters focus on the connection between measure theory and topology; basic concepts of probability; and conditional probability and expectation. Strong laws of large numbers are also examined, first from the classical viewpoint, and then via martingale theory. The final chapter is devoted to the one-dimensional central limit problem, paying particular attention to the fundamental role of Prokhorov's weak compactness theorem.This book is intended primarily for students taking a graduate course in probability | ||
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Datensatz im Suchindex
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| author | Ash, Robert B. |
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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 |
| format | Electronic eBook |
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| id | DE-604.BV043616570 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:55Z |
| institution | BVB |
| isbn | 9781483191423 9780120652013 |
| language | English |
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| spelling | Ash, Robert B. Verfasser aut Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks Saint Louis Elsevier Science 2014 © 1972 1 online resource (495 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Real Analysis and Probability provides the background in real analysis needed for the study of probability. Topics covered range from measure and integration theory to functional analysis and basic concepts of probability. The interplay between measure theory and topology is also discussed, along with conditional probability and expectation, the central limit theorem, and strong laws of large numbers with respect to martingale theory.Comprised of eight chapters, this volume begins with an overview of the basic concepts of the theory of measure and integration, followed by a presentation of various applications of the basic integration theory. The reader is then introduced to functional analysis, with emphasis on structures that can be defined on vector spaces. Subsequent chapters focus on the connection between measure theory and topology; basic concepts of probability; and conditional probability and expectation. Strong laws of large numbers are also examined, first from the classical viewpoint, and then via martingale theory. The final chapter is devoted to the one-dimensional central limit problem, paying particular attention to the fundamental role of Prokhorov's weak compactness theorem.This book is intended primarily for students taking a graduate course in probability Mathematical analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Birnbaum, Z. W. Sonstige oth Lukacs, E. Sonstige oth Erscheint auch als Druck-Ausgabe Ash, Robert B . Real Analysis and Probability : Probability and Mathematical Statistics: a Series of Monographs and Textbooks 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ash, Robert B. Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks Mathematical analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4064324-4 |
| title | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_auth | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_exact_search | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_full | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_fullStr | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_full_unstemmed | Real Analysis and Probability Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| title_short | Real Analysis and Probability |
| title_sort | real analysis and probability probability and mathematical statistics a series of monographs and textbooks |
| title_sub | Probability and Mathematical Statistics: a Series of Monographs and Textbooks |
| topic | Mathematical analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Mathematical analysis Probabilities Wahrscheinlichkeitsrechnung |
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