Geometric Aspects of Probability Theory and Mathematical Statistics (Mathematics and Its Applications, 514)

Buldygin, V.V.; Kharazishvili, A.B.

ISBN 10: 0792364139 / ISBN 13: 9780792364139

Edité par Springer, 2000

A propos de cet article

N° de réf. du vendeur ABLIING23Feb2416190183738

Détails bibliographiques

• Titre: Geometric Aspects of Probability Theory and Mathematical Statistics (Mathematics and Its Applications, 514)
• Éditeur: Springer
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0792364139
• ISBN à 13 chiffres: 9780792364139
• Reliure: Couverture rigide
• État de l'article: New

A propos de ce titre

Synopsis

It is well known that contemporary mathematics includes many disci- plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap- ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued characteristics of topological spaces, the theory of set-valued (multi-valued) mappings, etc. Modern algebra is featured by the following domains: linear algebra, group theory, the theory of rings, universal algebras, lattice theory, category theory, and so on. Concerning modern probability theory, we can easily see that the clas- sification of its domains is much more extensive: measure theory on ab- stract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, informa- tion theory and many others.

Présentation de l'éditeur

This book demonstrates the usefulness of geometric methods in probability theory and mathematical statistics, and shows close relationships between these disciplines and convex analysis. Deep facts and statements from the theory of convex sets are discussed with their applications to various questions arising in probability theory, mathematical statistics, and the theory of stochastic processes. The book is essentially self-contained, and the presentation of material is thorough in detail.
Audience: The topics considered in the book are accessible to a wide audience of mathematicians, and graduate and postgraduate students, whose interests lie in probability theory and convex geometry.