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010   $a1-4614-4708-9
024 7 $a10.1007/978-1-4614-4708-5
035   $a(CKB)2670000000317161
035   $a(EBL)994208
035   $a(OCoLC)821030953
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035   $a(PQKBTitleCode)TC0000799940
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035   $a(DE-He213)978-1-4614-4708-5
035   $a(MiAaPQ)EBC994208
035   $a(MiAaPQ)EBC6314518
035   $a(PPN)168300982
035   $a(EXLCZ)992670000000317161
100   $a20121026d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aProbability: A Graduate Course /$fby Allan Gut
205   $a2nd ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013.
215   $a1 online resource (618 p.)
225 1 $aSpringer Texts in Statistics,$x1431-875X ;$v75
300   $aDescription based upon print version of record.
311   $a1-4899-9755-5 
311   $a1-4614-4707-0 
320   $aIncludes bibliographical references (pages 577-586) and index.
327   $aPreface to the First Edition -- Preface to the Second Edition -- Outline of Contents -- Notation and Symbols -- Introductory Measure Theory -- Random Variables -- Inequalities -- Characteristic Functions -- Convergence -- The Law of Large Numbers -- The Central Limit Theorem -- The Law of the Iterated Logarithm -- Limited Theorems -- Martingales -- Some Useful Mathematics -- References -- Index.
330   $aLike its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.
410  0$aSpringer Texts in Statistics,$x1431-875X ;$v75
606   $aProbabilities
606   $aStatistics 
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aStatistical Theory and Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/S11001
606   $aStatistics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/S0000X
615  0$aProbabilities.
615  0$aStatistics .
615 14$aProbability Theory and Stochastic Processes.
615 24$aStatistical Theory and Methods.
615 24$aStatistics, general.
676   $a519.24
700   $aGut$b Allan$4aut$4http://id.loc.gov/vocabulary/relators/aut$059421
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438155103321
996   $aProbability$91130571
997   $aUNINA