Probability Theory, an Analytic View

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9780521431231: Probability Theory, an Analytic View
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This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of introductory, undergraduate probability and a reasonably sophisticated introduction to modern analysis who now want to learn what these two topics have to say about each other. By modern standards the topics treated here are classical and the techniques used far-ranging. No attempt has been made to present the subject as a monolithic structure resting on a few basic principles. The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book where it is applied to the study of martingales. This section also explores the connection between martingales and various aspects of classical analysis and the connections between Wiener's measure and classical potential theory.

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Descrizione del libro:

This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of undergraduate probability and a reasonably sophisticated introduction to modern analysis who now want to learn what these two topics have to say about each other. It will also be a valuable reference for those in fields as diverse as physics, engineering, and economics.

Contenuti:

1. Sums of Independent random variables; 2. The central limit theorem; 3. Convergence of measures, Infinite divisibility, and processes with independent increments; 4. A celebration of Wiener's measure; 5. Conditioning and Martingales; 6. Some applications of Martingale theory; 7. Continuous Martingales and elementary diffiusion theory; 8. A little classical potential theory.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780521663496: Probability Theory, an Analytic View

Edizione in evidenza

ISBN 10: 0521663490 ISBN 13: 9780521663496
Casa editrice: Cambridge University Press, 2008
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Stroock, Daniel W.
ISBN 10: 0521431239 ISBN 13: 9780521431231
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Descrizione libro Condizione: New. New. Codice articolo E-0521431239

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2.

Daniel W. Stroock
Editore: Cambridge University Press (1994)
ISBN 10: 0521431239 ISBN 13: 9780521431231
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Ergodebooks
(Richmond, TX, U.S.A.)
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Descrizione libro Cambridge University Press, 1994. Hardcover. Condizione: New. Codice articolo DADAX0521431239

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