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Mod-ϕ Convergence by Pierre-Loic Meliot
Mod-ϕ Convergence by Pierre-Loic Meliot
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Mod-ϕ Convergence

Normality Zones and Precise Deviations
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Description

The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’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. 
Release date Australia
December 16th, 2016
Audience
  • Professional & Vocational
Edition
1st ed. 2016
Illustrations
9 Illustrations, color; 8 Illustrations, black and white; XII, 152 p. 17 illus., 9 illus. in color.
Pages
152
Dimensions
155x235x9
ISBN-13
9783319468211
Product ID
25850079

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