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Probability : a Graduate Co...
"This textbook on the theory of probability is aimed at graduate students, with the ideology 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 chapters on inequalities, characteristic functions, convergence, followed by the three main subjects, 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 main feature of this book is the combination of rigor and detail. Instead of being sketchy and leaving lots of technicalities to be filled in by the reader or as easy exercises, a more solid foundation is obtained by providing more of those not so trivial matters and by integrating some of those not so simple exercises and problems into the body of text."--Jacket
Monografía
monografia Rebiun25735594 https://catalogo.rebiun.org/rebiun/record/Rebiun25735594 m o d cr nn|008mamaa 070420s2005 nyu ob 001 0 eng d 68042328 213887676 228397193 262677513 262680395 320966133 401411180 437167152 613459331 647512111 756418418 814465333 823135502 824166115 880022544 935232665 956954516 985056603 994838818 1005820676 1035707232 1039515155 1044177761 1044286164 1044300911 1044608016 1047573579 1058393325 1071931613 0387273328 9780387273327 0387228330 9780387228334 1280608412 9781280608414 9786610608416 6610608415 9780387273327 9780387228334 10.1007/b138932 doi NZ1 12050122 AU@ 000042137174 AU@ 000048779164 DEBSZ 264334248 DEBSZ 396087027 DKDLA 820120-katalog:000661769 NLGGC 384191762 NLGGC 384203922 Nz eng pn UV0 OCLCF OCLCO AZU ISOBC OCLCQ GW5XE N$T YDXCP YNG UAB DKU CNTRU E7B MHW TUU IDEBK MNU A7U DEBSZ SLY SOI S3O GKJ EBLCP N$T OCLCQ VT2 Z5A LIP OTZ OCLCQ NJR U3W LUE STF OCLCQ CEF EZ9 OCLCQ WYU ICG UWO AU@ OCLCQ MAT 003000 bisacsh MAT 029000 bisacsh PBT bicssc PBWL bicssc 519.2 22 31.70 bcl Probability a Graduate Course New York, NY Springer Science+Business Media, Inc. 2005 New York, NY New York, NY Springer Science+Business Media, Inc. 1 online resource (volumes) 1 online resource (volumes) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Texts in Statistics 1431-875X Includes bibliographical references and index Preliminaries; Contents; 1 Introductory Measure Theory; 2 Random Variables; 3 Inequalities; 4 Characteristic Functions; 5 Convergence; 6 The Law of Large Numbers; 7 The Central Limit Theorem; 8 The Law of the Iterated Logarithm; 9 Limit Theorems Extensions and Generalizations; 10 Martingales; A Some Useful Mathematics; Index "This textbook on the theory of probability is aimed at graduate students, with the ideology 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 chapters on inequalities, characteristic functions, convergence, followed by the three main subjects, 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 main feature of this book is the combination of rigor and detail. Instead of being sketchy and leaving lots of technicalities to be filled in by the reader or as easy exercises, a more solid foundation is obtained by providing more of those not so trivial matters and by integrating some of those not so simple exercises and problems into the body of text."--Jacket English Distribution (Probability theory) Mathematical statistics Probabilités Distribution (Théorie des probabilités) Nombres, Théorie probabiliste des MATHEMATICS- Applied MATHEMATICS- Probability & Statistics- General Distribution (Probability theory) Mathematical statistics Waarschijnlijkheidstheorie Verdelingen (statistiek) Probabilidade Electronic books Springer e-books Springer e-books Print version Gut, Allan. Probability : A Graduate Course. New York : Springer-Verlag New York Inc, 2006 9780387228334 Springer texts in statistics. 1431-875X