Ebook: Probability
Author: A.N. Shiryaev, translated by R.P. Boas.
- Series: Graduate texts in mathematics 95., Springer series in Soviet mathematics.
- Year: 1996
- Publisher: Springer
- City: New York
- Language: English
- pdf
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 Read more...
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.