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