TY - BOOK AU - Shiryaev A.N. AU - Boas,R.P. TI - Probability T2 - Graduate texts in mathematics SN - 9780387945491 U1 - 519.2 23 PY - 1996/// CY - New York PB - Springer-Verlag KW - Probabilities N1 - Includes bibliographical references (p. [597]-607) and indexes; 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-- References-- Index of symbols-- Index N2 - 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 ER -