Albert N. Shiryaev: Probability-1

Cover: 9781493979059 | Probability-1 | Albert N. Shiryaev | Taschenbuch | xvii | Englisch

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Sprache: Englisch

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Beschreibung

This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes, and the Kalman-Bucy filter. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text or for self-study.
The third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.

Über den Autor

Albert N. Shiryaev is Chief Scientific Researcher and Professor of Probability Theory and Mathematical Statistics at the Steklov Mathematical Institute of the Russian Academy of Sciences and Head of the Department of Probability Theory in the Mechanics and Mathematics Faculty at Lomonosov Moscow State University. He is the author of several books, including Problems in Probability [translated by Andrew Lyasov], Optimal Stopping Rules [translated by A.B. Aries], and Statistics of Random Processes [with Robert S. Liptser]. He was the recipient of the A.A.MarkovPrize in 1974, of the A.N.Kolmogorov Prize in 1994, and of the Golden P.L.Chebyshev Medal of the Russian Academy of Science in 2017.

Zusammenfassung

The third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.

Inhaltsverzeichnis

Introduction.- Elementary Probability Theory.- Mathematical Foundations of Probability Theory.- Convergence of Probability Measures. Central Limit Theorem.

Details

Erscheinungsjahr:	2018
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvii 486 S. 39 s/w Illustr. 486 p. 39 illus.
ISBN-13:	9781493979059
ISBN-10:	1493979051
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Shiryaev, Albert N.
Übersetzung:	Chibisov, Dmitry M.
Auflage:	Softcover reprint of the original 3rd edition 2016
Hersteller:	Humana Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 28 mm
Von/Mit:	Albert N. Shiryaev
Erscheinungsdatum:	30.05.2018
Gewicht:	0,756 kg