First Look At Rigorous Probability Theory, A - Tapa dura

Rosenthal, Jeffrey S

 
9789810243036: First Look At Rigorous Probability Theory, A
Tapa dura
ISBN 10: 9810243030 ISBN 13: 9789810243036
Editorial: World Scientific Publishing Co Pte Ltd, 2000

Sinopsis

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

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Reseña del editor

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

Reseña del editor

An introduction to rigorous probability theory using measure theory. It provides rigorous, complete proofs of all the essential introductory mathematical results of probability theory and measure theory. More advanced or specialized areas are entirely omitted or only hinted at. For example, the text includes a complete proof of the classical central limit theorem, including the necessary continuity theorem for characteristic functions, but the more general Lindeberg central limit theorem is only outlined and is not proved. Similarly, all necessary facts from measure theory are proved before they are used, but more abstract or advanced measure theory results are not included. Furthermore, measure theory is discussed as much as possible purely in terms of probability, as opposed to being treated as a separate subject which must be mastered before probability theory can be understood.

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Editorial
World Scientific Publishing Co Pte Ltd
Año de publicación
2000
Idioma
Inglés
ISBN 10 
9810243030
ISBN 13 
9789810243036
Encuadernación
Tapa dura
Número de páginas
192
Contacto del fabricante
no disponible
Persona responsable
no disponible

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Edición Destacada

ISBN 10:  9810243227 ISBN 13:  9789810243227
Editorial: World Scientific Publishing Co P..., 2000
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