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＜電子ブック＞
Probability-1 / by Albert N. Shiryaev
(Graduate Texts in Mathematics. ISSN:21975612 ; 95)

版	3rd ed. 2016.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2016
大きさ	XVII, 486 p. 39 illus : online resource
著者標目	*Shiryaev, Albert N author SpringerLink (Online service)
件　名	LCSH:Probabilities FREE:Probability Theory
一般注記	Introduction -- Elementary Probability Theory -- Mathematical Foundations of Probability Theory -- Convergence of Probability Measures. Central Limit Theorem 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 HTTP:URL=https://doi.org/10.1007/978-0-387-72206-1

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