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Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics)

Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics)

Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in
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Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics) 2016

by Valentin Féray

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  • Title Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics)
  • Author Valentin Féray
  • Binding unknown
  • Condition New
  • Publisher Springer
  • Publication date 2016-12
  • Features Bibliography, Illustrated
  • Bookseller's Inventory # 27469520-n
  • ISBN 9783319468211
  • Quantity available 5

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Reader reviews for Mod-ϕ Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics)

From the publisher

The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lvy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.
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