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An introduction to measure-theoretic probability /

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 car...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roussas, George G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier Academic Press, ©2005.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 3 |a An introduction to measure-theoretic probability /  |c George G. Roussas. 
260 |a Amsterdam :  |b Elsevier Academic Press,  |c ©2005. 
300 |a 1 online resource (xviii, 443 pages) :  |b illustrations 
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504 |a Includes bibliographical references and index. 
520 |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 development of the subject* Easy to understand, detailed discussion of material* Complete proofs. 
505 0 |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. 
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650 0 |a Measure theory. 
650 6 |a Probabilités. 
650 6 |a Théorie de la mesure. 
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650 7 |a Probabilities.  |2 fast  |0 (OCoLC)fst01077737 
776 0 8 |i Print version:  |a Roussas, George G.  |t Introduction to measure-theoretic probability.  |d Amsterdam : Elsevier Academic Press, ©2005  |w (DLC) 2004017135 
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