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Probability

Author: Alʹbert Nikolaevich Shiri︠a︡ev
Publisher: New York : Springer, ©1996.
Series: Graduate texts in mathematics, 95.; Springer series in Soviet mathematics.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
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
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alʹbert Nikolaevich Shiri︠a︡ev
ISBN: 0387945490 9780387945491
OCLC Number: 32546222
Language Note: Translation of: Veroi︠a︡tnostʹ.
Description: xvi, 621 pages : illustrations ; 24 cm.
Contents: Ch. I. Elementary Probability Theory --
Ch. II. Mathematical Foundations of Probability Theory --
Ch. III. Convergence of Probability Measures. Central Limit Theorem --
Ch. IV. Sequences and Sums of Independent Random Variables --
Ch. V. Stationary (Strict Sense) Random Sequences and Ergodic Theory --
Ch. VI. Stationary (Wide Sense) Random Sequences. L[superscript 2] Theory --
Ch. VII. Sequences of Random Variables that Form Martingales --
Ch. VIII. Sequences of Random Variables that Form Markov Chains.
Series Title: Graduate texts in mathematics, 95.; Springer series in Soviet mathematics.
Other Titles: Veroi︠a︡tnostʹ.
Responsibility: A.N. Shiryaev ; translated by R.P. Boas.
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Abstract:

Contains a treatment of probability, developing subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes,  Read more...

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