'… 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

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.
Les mer
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.
Les mer
A second edition of Daniel W. Stroock's classic probability theory textbook suitable for first-year graduate students with a good grasp of introductory, undergraduate probability.

Produktdetaljer

ISBN
9780521761581
Publisert
2010-12-31
Utgave
2. utgave
Utgiver
Vendor
Cambridge University Press
Vekt
1160 gr
Høyde
254 mm
Bredde
178 mm
Dybde
30 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
550

Forfatter

Om bidragsyterne

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).