Probability: Theory and Examples: 49 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 49) - Hardcover

Durrett, Rick

Hardcover

ISBN 10: 1108473687 ISBN 13: 9781108473682

Verlag: Cambridge University Press, 2019

Inhaltsangabe

This lively introduction to measure-theoretic probability theory covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. Concentrating on results that are the most useful for applications, this comprehensive treatment is a rigorous graduate text and reference. Operating under the philosophy that the best way to learn probability is to see it in action, the book contains extended examples that apply the theory to concrete applications. This fifth edition contains a new chapter on multidimensional Brownian motion and its relationship to partial differential equations (PDEs), an advanced topic that is finding new applications. Setting the foundation for this expansion, Chapter 7 now features a proof of Itô's formula. Key exercises that previously were simply proofs left to the reader have been directly inserted into the text as lemmas. The new edition re-instates discussion about the central limit theorem for martingales and stationary sequences.

Über diesen Titel

Über die Autorin bzw. den Autor

Rick Durrett is a James B. Duke professor in the mathematics department of Duke University, North Carolina. He received his Ph.D. in Operations Research from Stanford University in 1976. After nine years at University of California, Los Angeles and twenty-five at Cornell University, he moved to Duke University in 2010. He is the author of 8 books and more than 220 journal articles on a wide variety of topics, and has supervised more than 45 Ph.D. students. He is a member of National Academy of Science, American Academy of Arts and Sciences, and a fellow of the Institute of Mathematical Statistics, and of the American Mathematical Society.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 1108473687
• ISBN 13: 9781108473682
• Einband: Tapa dura
• Auflage: 5
• Anzahl der Seiten: 432
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Frankreich