Geometric Aspects of Probability Theory and Mathematical Statistics

  • V. V. Buldygin
  • A. B. Kharazishvili

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

Table of contents

  1. Front Matter
    Pages i-x
  2. V. V. Buldygin, A. B. Kharazishvili
    Pages 1-18
  3. V. V. Buldygin, A. B. Kharazishvili
    Pages 19-36
  4. V. V. Buldygin, A. B. Kharazishvili
    Pages 37-48
  5. V. V. Buldygin, A. B. Kharazishvili
    Pages 49-56
  6. V. V. Buldygin, A. B. Kharazishvili
    Pages 57-70
  7. V. V. Buldygin, A. B. Kharazishvili
    Pages 71-94
  8. V. V. Buldygin, A. B. Kharazishvili
    Pages 95-106
  9. V. V. Buldygin, A. B. Kharazishvili
    Pages 107-122
  10. V. V. Buldygin, A. B. Kharazishvili
    Pages 123-144
  11. V. V. Buldygin, A. B. Kharazishvili
    Pages 145-172
  12. V. V. Buldygin, A. B. Kharazishvili
    Pages 173-196
  13. V. V. Buldygin, A. B. Kharazishvili
    Pages 197-220
  14. Back Matter
    Pages 255-303

About this book

Introduction

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.

Keywords

Dimension Gaussian process Grad Probability theory distribution mathematical statistics statistics stochastic processes

Authors and affiliations

  • V. V. Buldygin
    • 1
  • A. B. Kharazishvili
    • 2
  1. 1.Kiev Technical UniversityKievUkraine
  2. 2.Tbilisi State UniversityTbilisiUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1687-1
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5505-7
  • Online ISBN 978-94-017-1687-1
  • About this book
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