Skip to main content
SpringerLink
Log in

Geometric Aspects of Probability Theory and Mathematical Statistics

  • Book
  • © 2000

Overview

Authors:
  1. V. V. Buldygin

    1. Kiev Technical University, Kiev, Ukraine

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. A. B. Kharazishvili

    1. Tbilisi State University, Tbilisi, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 514)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Convex sets in vector spaces

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 1-18

  3. Brunn-Minkowski inequality

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 19-36

  4. Convex polyhedra

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 37-48

  5. Two classical isoperimetric problems

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 49-56

  6. Some infinite-dimensional vector spaces

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 57-70

  7. Probability measures and random elements

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 71-94

  8. Convergence of random elements

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 95-106

  9. The structure of supports of Borel measures

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 107-122

  10. Quasi-invariant probability measures

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 123-144

  11. Anderson inequality and unimodal distributions

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 145-172

  12. Oscillation phenomena and extensions of measures

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 173-196

  13. Comparison principles for Gaussian processes

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 197-220

  14. Integration of vector-valued functions and optimal estimation of stochastic processes

    • V. V. Buldygin, A. B. Kharazishvili
    Pages 221-254

  15. Back Matter

    Pages 255-303
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Kiev Technical University, Kiev, Ukraine

    V. V. Buldygin

  • Tbilisi State University, Tbilisi, USA

    A. B. Kharazishvili

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation