Normal approximations with Malliavin calculus : from Stein's method to universality
"Stein's method is a collection of probabilistic techniques that allow one to assess the distance between two probability distributions by means of differential operators. In 2007, the authors discovered that one can combine Stein's method with the powerful Malliavin calculus of varia...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Livre papier |
| Sprache: | Anglais |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press
C 2012.
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| Schriftenreihe: | Cambridge tracts in mathematics
192 |
| Schlagworte: | |
| Anmerkung: |
Informations complémentaires sur la publication à l'adresse. http://www.cambridge.org/9781107017771 |
| Autres localisations: | Voir dans le Sudoc |
| LEADER | 02136nam a22002777a 4500 | ||
|---|---|---|---|
| 001 | 479557 | ||
| 008 | 120612t20122012xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN16167674X | ||
| 020 | |a 9781107017771 (rel.) | ||
| 024 | |a 9781107017771 | ||
| 041 | 0 | |a eng | |
| 084 | |a 60H07. 2010 | ||
| 084 | |a 60F05. 2010 | ||
| 100 | 1 | |a Nourdin, Ivan, |d 19..- | |
| 245 | 1 | 0 | |a Normal approximations with Malliavin calculus : |b from Stein's method to universality |c Ivan Nourdin,... Giovanni Peccati,... |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press. | ||
| 260 | |c C 2012. | ||
| 300 | |a 1 vol. (XIV-239 p.) ; |c 23 cm. | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 192 | |
| 500 | |a Informations complémentaires sur la publication à l'adresse. http://www.cambridge.org/9781107017771 | ||
| 504 | |a Bibliogr. p. 227-234. Index | ||
| 520 | |a "Stein's method is a collection of probabilistic techniques that allow one to assess the distance between two probability distributions by means of differential operators. In 2007, the authors discovered that one can combine Stein's method with the powerful Malliavin calculus of variations, in order to deduce quantitative central limit theorems involving functionals of general Gaussian fields. This book provides an ideal introduction both to Stein's method and Malliavin calculus, from the standpoint of normal approximations on a Gaussian space. Many recent developments and applications are studied in detail, for instance: fourth moment theorems on the Wiener chaos, density estimates, Breuer-Major theorems for fractional processes, recursive cumulant computations, optimal rates and universality results for homogeneous sums. Largely self-contained, the book is perfect for self-study. It will appeal to researchers and graduate students in probability and statistics, especially those who wish to understand the connections between Stein's method and Malliavin calculus", | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Calcul de Malliavin | ||
| 700 | 1 | |a Peccati, Giovanni, |d 1975- |4 aut | |
| 997 | |0 479557 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 8023 NOU | ||