Sums of Independent Random Variables / / V. V. Petrov.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©1975 |
Year of Publication: | 2022 |
Edition: | Translated from the Russian by A.A.Brown, Reprint 2021 |
Language: | German |
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Physical Description: | 1 online resource (358 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Notation
- Contents
- Chapter I. Probability Distributions and Characteristic Functions
- Chapter II. Infinitely Divisible Distributions
- Chapter III. Some Inequalities for the Distributions of Sums of Independent Random Variables
- Chapter IV. Theorems on Convergence to Infinitely Divisible Distributions
- Chapter V. Estimates of the Distance Between the Distribution of a Sum of Independent Random Variables and the Normal Distribution
- Chapter VI. Asymptotic Expansions in the Central Limit Theorem
- Chapter VII. Local Limit Theorems
- Chapter VIII. Probabilities of Large Deviations
- Chapter IX. Laws of Large Numbers
- Chapter X. The Law of the Iterated Logarithm
- Notes on Sources in the Literature
- References
- Subject Index
- Table of Symbols and Abbreviations
- Ergebnisse der Mathematik und ihrer Grenzgebiete