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001 978-1-4614-4708-5
003 DE-He213
005 20140220082816.0
007 cr nn 008mamaa
008 121026s2013 xxu| s |||| 0|eng d
020 _a9781461447085
_9978-1-4614-4708-5
024 7 _a10.1007/978-1-4614-4708-5
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aGut, Allan.
_eauthor.
245 1 0 _aProbability: A Graduate Course
_h[electronic resource] :
_bA Graduate Course /
_cby Allan Gut.
250 _a2nd ed. 2013.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXXV, 600 p. 13 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Texts in Statistics,
_x1431-875X ;
_v75
505 0 _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.
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 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.
650 0 _aMathematics.
650 0 _aDistribution (Probability theory).
650 0 _aStatistics.
650 0 _aMathematical statistics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aStatistical Theory and Methods.
650 2 4 _aStatistics, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461447078
830 0 _aSpringer Texts in Statistics,
_x1431-875X ;
_v75
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4708-5
912 _aZDB-2-SMA
999 _c95206
_d95206