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An introduction to measure-theoretic probability

Author: George G Roussas
Publisher: Amsterdam : Elsevier Academic Press, ©2005.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Roussas, George G.
Introduction to measure-theoretic probability.
Amsterdam : Elsevier Academic Press, ©2005
(DLC) 2004017135
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: George G Roussas
ISBN: 9780080575308 0080575307
OCLC Number: 787847128
Description: 1 online resource (xviii, 443 pages) : illustrations
Contents: 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.
Responsibility: George G. Roussas.
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Abstract:

Provides probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas, should be equipped with. This book takes a classical approach,  Read more...

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"...provides basic tools in measure theory and probability.... A well-written book. Highly recommended." -CHOICE"Based on the material presented in the manuscript, I would without any hesitation Read more...

 
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