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

版	2nd ed. 1996.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1996
本文言語	英語
大きさ	XVI, 624 p. 1 illus : online resource
冊子体	Probability / A.N. Shiryaev ; translated by R.P. Boas
著者標目	*Shiryaev, Albert author SpringerLink (Online service)
件　名	LCSH:Probabilities FREE:Probability Theory
一般注記	I Elementary Probability Theory -- II Mathematical Foundations of Probability Theory -- III Convergence of Probability Measures. Central Limit Theorem -- IV Sequences and Sums of Independent Random Variables -- V Stationary (Strict Sense) Random Sequences and Ergodic Theory -- VI Stationary (Wide Sense) Random Sequences. L2 Theory -- VII Sequences of Random Variables that Form Martingales -- VIII Sequences of Random Variables that Form Markov Chains -- Historical and Bibliographical Notes -- References -- Index of Symbols In the Preface to the first edition, originally published in 1980, we mentioned that this book was based on the author's lectures in the Department of Mechanics and Mathematics of the Lomonosov University in Moscow, which were issued, in part, in mimeographed form under the title "Probabil­ ity, Statistics, and Stochastic Processors, I, II" and published by that Univer­ sity. Our original intention in writing the first edition of this book was to divide the contents into three parts: probability, mathematical statistics, and theory of stochastic processes, which corresponds to an outline of a three­ semester course of lectures for university students of mathematics. However, in the course of preparing the book, it turned out to be impossible to realize this intention completely, since a full exposition would have required too much space. In this connection, we stated in the Preface to the first edition that only probability theory and the theory of random processes with discrete time were really adequately presented. Essentially all of the first edition is reproduced in this second edition. Changes and corrections are, as a rule, editorial, taking into account com­ ments made by both Russian and foreign readers of the Russian original and ofthe English and Germantranslations [Sll]. The author is grateful to all of these readers for their attention, advice, and helpful criticisms. In this second English edition, new material also has been added, as follows: in Chapter 111, §5, §§7-12; in Chapter IV, §5; in Chapter VII, §§8-10 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4757-2539-1

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