Sums of Independent Random Variables / / V. V. Petrov.

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Bibliographic Details
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