A First Look at Rigorous Probability Theory

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9789810243227: A First Look at Rigorous Probability Theory
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This textbook is 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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9789810243036: A First Look at Rigorous Probability Theory

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ISBN 10:  9810243030 ISBN 13:  9789810243036
Publisher: World Scientific Publishing Company, 2000
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Jeffery S. Rosenthal; Jeffrey S. Rosenthal; Jeffrey S Rosenthal
Published by World Scientific Publishing Company (2000)
ISBN 10: 9810243227 ISBN 13: 9789810243227
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