Mod-? Convergence : Normality Zones and Precise Deviations
1st ed. 2016
Book Details
Format
Paperback / Softback
ISBN-10
3319468219
ISBN-13
9783319468211
Edition
1st ed. 2016
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Dec 16th, 2016
Print length
152 Pages
Weight
268 grams
Dimensions
23.40 x 15.70 x 1.40 cms
Ksh 6,850.00
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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.
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-? 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.
Get Mod-? Convergence by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer International Publishing AG and it has pages.