Daniel W. Stroock

Probability Theory

An Analytic View

• Broschiertes Buch

Produktbeschreibung

This second edition of Daniel W. Stroock's text is suitable for first-year graduate students with a good grasp of introductory, undergraduate probability theory and a sound grounding in analysis. It is intended to provide readers with an introduction to probability theory and the analytic ideas and tools on which the modern theory relies. It includes more than 750 exercises. Much of the content has undergone significant revision. In particular, the treatment of Levy processes has been rewritten, and a detailed account of Gaussian measures on a Banach space is given.

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Produktdetails

• Verlag: Cambridge University Press
• 2., überarb. Aufl.
• Seitenzahl: 548
• Erscheinungstermin: 1. Dezember 2010
• Englisch
• Abmessung: 254mm x 178mm x 30mm
• Gewicht: 910g
• ISBN-13: 9780521132503
• ISBN-10: 0521132509
• Artikelnr.: 32733366

Autorenporträt

Dr Daniel W. Stroock is the Simons Professor of Mathematics Emeritus at the Massachusetts Institute of Technology. He has published numerous articles and is the author of six books, most recently Partial Differential Equations for Probabilists (2008).

Inhaltsangabe

1. Sums of independent random variables; 2. The central limit theorem; 3. Infinitely divisible laws; 4. Levy processes; 5. Conditioning and martingales; 6. Some extensions and applications of martingale theory; 7. Continuous parameter martingales; 8. Gaussian measures on a Banach space; 9. Convergence of measures on a Polish space; 10. Wiener measure and partial differential equations; 11. Some classical potential theory.

Rezensionen

'... uniformly well written and well spiced with comments to aid the intuition, so the readership should include a wide range, both of students and of professional probabilists. ... We can expect it to take its place alongside the classics of probability theory.' Mathematical Reviews