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024 7 $a10.1007/978-0-387-72206-1
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100   $a20160708d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aProbability-1 /$fby Albert N. Shiryaev
205   $a3rd ed. 2016.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2016.
215   $a1 online resource (XVII, 486 p. 39 illus.) 
225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v95
311   $a0-387-72205-X 
320   $aIncludes bibliographical references (pages [465]-469) and indexes.
327   $aIntroduction -- Elementary Probability Theory -- Mathematical Foundations of Probability Theory -- Convergence of Probability Measures. Central Limit Theorem.
330   $aThis book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study. To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of ??-?? systems), and the fundamental theorems of mathematical statistics.
410  0$aGraduate Texts in Mathematics,$x0072-5285 ;$v95
606   $aProbabilities
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aProbabilities.
615 14$aProbability Theory and Stochastic Processes.
676   $a519.2
700   $aShiryaev$b Albert N$4aut$4http://id.loc.gov/vocabulary/relators/aut$0352262
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910254063803321
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997   $aUNINA