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Probability: A Graduate Course a Graduate Course
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Gut, Allan
- Series:
- Springer texts in statistics v. 75
- Springer texts in statistics 75
- Springer texts in statistics 1431-875X 75
- Language:
- English
- Subjects (All):
- Mathematics.
- Distribution (Probability theory).
- Statistics.
- Mathematical statistics.
- Probabilities.
- Probabilistic number theory.
- mathematics.
- applied mathematics.
- distribution (statistics-related concept).
- probability.
- statistics.
- Physical Description:
- 1 online resource
- Edition:
- 2. ed. 2013
- Place of Publication:
- New York, NY Springer New York New York, NY Imprint Springer 2013
- System Details:
- text file PDF
- 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
- 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
- Notes:
- Printed edition:9781461447078
- Other Format:
- Printed edition:
- ISBN:
- 1461447089
- 9781461447085
- 9781461447078
- 1461447070
- OCLC:
- 899090910
- Access Restriction:
- Restricted for use by site license
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