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121026s2013 xxu| s |||| 0|eng d |
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|a 9781461447085
|9 978-1-4614-4708-5
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|a 10.1007/978-1-4614-4708-5
|2 doi
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|a QA273.A1-274.9
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|a QA274-274.9
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|a PBT
|2 bicssc
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|a PBWL
|2 bicssc
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|a MAT029000
|2 bisacsh
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|a 519.2
|2 23
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|a Gut, Allan.
|e author.
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|a Probability: A Graduate Course
|b A Graduate Course /
|c by Allan Gut.
|h [electronic resource] :
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|a 2nd ed. 2013.
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264 |
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2013.
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300 |
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|a XXV, 600 p. 13 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Springer Texts in Statistics,
|v 75
|x 1431-875X ;
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|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.
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|a 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.
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650 |
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|a Mathematics.
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650 |
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|a Distribution (Probability theory).
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650 |
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|a Statistics.
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650 |
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|a Mathematical statistics.
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650 |
1 |
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|a Mathematics.
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650 |
2 |
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|a Probability Theory and Stochastic Processes.
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650 |
2 |
4 |
|a Statistical Theory and Methods.
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650 |
2 |
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|a Statistics, general.
|
710 |
2 |
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|a SpringerLink (Online service)
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773 |
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|t Springer eBooks
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776 |
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8 |
|i Printed edition:
|z 9781461447078
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830 |
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|a Springer Texts in Statistics,
|v 75
|x 1431-875X ;
|
856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-4708-5
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
|