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First look at rigorous probability theory

By: Rosenthal, Jeffrey SMaterial type: TextTextPublication details: Hackensack, N.J. : World Scientific, 2006. Edition: 2nd editionDescription: xvi, 219 pages : ill. ; 23 cmISBN: 9789812703712Subject(s): Probabilities | Measure theory | Probability measuresDDC classification: 519.21 Online resources: Table of content | Reviews Summary: 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. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.
List(s) this item appears in: Mathematics
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519.21 ROS-F (Browse shelf(Opens below)) Available 25880

Includes bibliographical references (p. 209-211) and index.

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. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.

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