# Geometric Aspects of Probability Theory and Mathematical Statistics

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

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

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.

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

- 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