A probability path
著者
書誌事項
A probability path
Birkhäuser, c1999
- : hbk : us
- : pbk
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注記
Bibliography: p. [443]-444
Includes index
内容説明・目次
- 巻冊次
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: pbk ISBN 9780817640552
内容説明
Many probability books are written by mathematicians and have the built in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance, and engineering.
目次
- 1. Sets and Events
- 2. Probability Spaces
- 3. Random Variables, Elements and Measurable Maps
- 4. Independence
- 5. Integration and Expectation
- 6. Convergence Concepts
- 7. Laws of Large Numbers and Sums of Independent Random Variables
- 8. Convergence in Distribution
- 9. Characteristic Functions and the Central Limit Theorem
- 10. Martingales
- Index
- References
- 巻冊次
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ISBN 9783764340551
内容説明
This text is designed to cover the essentials of probability theory in a one-semester course. Less encyclopedic in scope than other probability texts, it is motivated by an approach to the subject suitable to the applied mathematics student.
目次
- Sets and events
- probability spaces
- random variables, elements and measurable maps
- independence
- integration and expectation
- convergence concepts
- laws of large numbers and sums of independent random variables
- convergence in distribution
- characteristic functions and the central limit theorem
- Martingales.
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