Mod- Convergence : Normality Zones and Precise. Feray, Meliot, Nikeghbali<|

Mod-? ConvergenceNormality Zones and Precise Deviations\nAuthor(s): Valentin Fray, Pierre-Loc Mliot, Ashkan Nikeghbali\nFormat: Paperback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783319468211, 978-3319468211\nSynopsis\nThe canonical way to establish the central limit theorem for [url] random variables is to use characteristic functions and Lvys 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 .