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A First Look at Rigorous Probability Theory
Jeffrey Seth Rosenthal
出版
World Scientific
, 2006
主題
Mathematics / Probability & Statistics / General
ISBN
9812703705
9789812703705
URL
http://books.google.com.hk/books?id=PYNAgzDffDMC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.