03446nam 22006735 450 991043815510332120200702193924.01-4614-4708-910.1007/978-1-4614-4708-5(CKB)2670000000317161(EBL)994208(OCoLC)821030953(SSID)ssj0000799940(PQKBManifestationID)11957500(PQKBTitleCode)TC0000799940(PQKBWorkID)10764764(PQKB)11089631(DE-He213)978-1-4614-4708-5(MiAaPQ)EBC994208(MiAaPQ)EBC6314518(PPN)168300982(EXLCZ)99267000000031716120121026d2013 u| 0engur|n|---|||||txtccrProbability: A Graduate Course /by Allan Gut2nd ed. 2013.New York, NY :Springer New York :Imprint: Springer,2013.1 online resource (618 p.)Springer Texts in Statistics,1431-875X ;75Description based upon print version of record.1-4899-9755-5 1-4614-4707-0 Includes bibliographical references (pages 577-586) and index.Preface 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.Like 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.Springer Texts in Statistics,1431-875X ;75ProbabilitiesStatistics Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Statistical Theory and Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/S11001Statistics, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/S0000XProbabilities.Statistics .Probability Theory and Stochastic Processes.Statistical Theory and Methods.Statistics, general.519.24Gut Allanauthttp://id.loc.gov/vocabulary/relators/aut59421MiAaPQMiAaPQMiAaPQBOOK9910438155103321Probability1130571UNINA