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Book Cover
E-book
Author Gut, Allan

Title Probability: A Graduate Course : a Graduate Course
Edition 2. ed. 2013
Published New York, NY : Springer New York ; New York, NY : Imprint : Springer, 2013

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Description 1 online resource (XXV, 600 pages 13 illustrations)
Series Springer texts in statistics, 1431-875X ; 75
Springer texts in statistics ; v. 75.
Springer texts in statistics ; 75.
Contents 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
Summary 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
Notes Printed edition:9781461447078
Subject Mathematics.
Distribution (Probability theory)
Statistics.
Mathematical statistics.
Probabilities.
Probabilistic number theory.
mathematics.
applied mathematics.
distribution (statistics-related concept)
probability.
statistics.
Distribution (Probability theory)
Mathematical statistics
Mathematics
Probabilistic number theory
Probabilities
Statistics
Form Electronic book
ISBN 1461447089
9781461447085
9781461447078
1461447070