Sums and Gaussian Vectors

Surveys the methods currently applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws. Covers probabilities of large deviations, Chebyshev-type inequalities for seminorms of sums, a method of constructing Edgeworth-type...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Yurinsky, Vadim, 1945-
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Cyfres:Lecture notes in mathematics 1617
Pynciau:
Mynediad Ar-lein:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nodyn: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Sums and Gaussian vectors, Vadim Yurinsky, 1995, Berlin, Springer, 1 volume (XI-305 pages), Lecture notes in mathematics, 3-540-60311-5
• Sums and Gaussian Vectors, Texte imprimé, 9783662204665
Tabl Cynhwysion:
  • Gaussian measures in euclidean space
  • Seminorms of Gaussian vectors in infinite dimensions
  • Inequalities for seminorms: Sums of independent random vectors
  • Rough asymptotics of large deviations
  • Gaussian and related approximations for distributions of sums
  • Fine asymptotics of moderate deviations.