Probability-1 (Graduate Texts in Mathematics)

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9780387722054: Probability-1 (Graduate Texts in Mathematics)

Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. 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 and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

From the Back Cover :

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, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. 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 for independent study.

To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of “π-λ” systems), and the fundamental theorems of mathematical statistics.

About the Author :

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.N. Kolmogorov Prize of the Russian Academy of Sciences in 1994 and the A.A. Markov Prize in 1974.

Dmitry M. Chibisov is Leading Scientific Researcher and Professor of Probability Theory and Mathematical Statistics at the Steklov Mathematical Institute of the Russian Academy of Sciences. He is the Editor-in-Chief of the journal Mathematical Methods of Statistics.

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Albert N. Shiryaev (author), Dmitry M. Chibisov (translator)
Edité par Springer New York 2016-07-09, New York (2016)
ISBN 10 : 038772205X ISBN 13 : 9780387722054
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Description du livre Springer New York 2016-07-09, New York, 2016. hardback. État : New. N° de réf. du libraire 9780387722054

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Albert N. Shiryaev
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ISBN 10 : 038772205X ISBN 13 : 9780387722054
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Description du livre Springer-Verlag New York Inc., United States, 2016. Hardback. État : New. 3rd Revised edition. Language: English,Russian . Brand New Book. Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. 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 and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This 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. N° de réf. du libraire SPR9780387722054

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Albert N. Shiryaev
Edité par Springer-Verlag New York Inc., United States (2016)
ISBN 10 : 038772205X ISBN 13 : 9780387722054
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The Book Depository
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Description du livre Springer-Verlag New York Inc., United States, 2016. Hardback. État : New. 3rd Revised edition. Language: English,Russian . Brand New Book. Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. 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 and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This 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. N° de réf. du libraire SPR9780387722054

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SHIRYAEV, ALBERT N.
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SHIRYAEV, ALBERT N.
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Albert N. Shiryaev
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Description du livre Springer-Verlag New York Inc. Hardback. État : new. BRAND NEW, Probability: v. 1 (3rd Revised edition), Albert N. Shiryaev, 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. N° de réf. du libraire B9780387722054

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Albert N. Shiryaev
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Shiryaev, Albert N.
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Description du livre Springer, 2016. État : New. 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. Series: Graduate Texts in Mathematics. Num Pages: 532 pages, 47 illus. BIC Classification: PBT. Category: (UU) Undergraduate. . . 2016. 3rd. Hardcover. . . . . . N° de réf. du libraire V9780387722054

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