MARC Record from harvard_bibliographic_metadata

LEADER: 02484nam a22004335a 4500
001 013402609-8
005 20121210190223.0
008 121026s2013 xxu| s ||0| 0|eng d
020 $a9781461447085$99781461447085 (ebk.)
020 $a9781461447085
024 7 $a10.1007/978-1-4614-4708-5$2doi
035 $a(Springer)9781461447085
040 $aSpringer
050 4 $aQA273.A1-274.9
050 4 $aQA274-274.9
072 7 $aPBT$2bicssc
072 7 $aPBWL$2bicssc
072 7 $aMAT029000$2bisacsh
082 04 $a519.2$223
100 1 $aGut, Allan.
245 10 $aProbability: A Graduate Course :$bA Graduate Course /$cby Allan Gut.
250 $a2nd ed. 2013.
260 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2013.
300 $aXXV, 600 p. 13 illus.$bdigital.
490 0 $aSpringer Texts in Statistics,$x1431-875X ;$v75
505 0 $a​​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.<br>.
520 $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 explanations of the three main subjects in probability: 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.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 0 $aStatistics.
650 0 $aMathematical statistics.
650 24 $aProbability Theory and Stochastic Processes.
650 24 $aStatistical Theory and Methods.
650 24 $aStatistics, general.
776 08 $iPrinted edition:$z9781461447078
830 0 $aSpringer texts in statistics ;$v75.
988 $a20121102
906 $0VEN