Geometric Aspects of Probability Theory and Mathematical Statistics:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
Schriftenreihe: | Mathematics and Its Applications
514 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | It is well known that contemporary mathematics includes many disciplines. 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 chapters: 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 classification of its domains is much more extensive: measure theory on abstract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, information theory and many others |
Beschreibung: | 1 Online-Ressource (X, 304 p) |
ISBN: | 9789401716871 9789048155057 |
DOI: | 10.1007/978-94-017-1687-1 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Buldygin, V. V. |
author_GND | (DE-588)1058151622 |
author_facet | Buldygin, V. V. |
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dewey-raw | 519.2 |
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dewey-sort | 3519.2 |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-94-017-1687-1 |
format | Electronic eBook |
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institution | BVB |
isbn | 9789401716871 9789048155057 |
language | English |
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series | Mathematics and Its Applications |
series2 | Mathematics and Its Applications |
spelling | Buldygin, V. V. Verfasser aut Geometric Aspects of Probability Theory and Mathematical Statistics by V. V. Buldygin, A. B. Kharazishvili Dordrecht Springer Netherlands 2000 1 Online-Ressource (X, 304 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 514 It is well known that contemporary mathematics includes many disciplines. 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 chapters: 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 classification of its domains is much more extensive: measure theory on abstract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, information theory and many others Mathematics Functional analysis Discrete groups Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Functional Analysis Mathematik Statistik Charazišvili, Aleksandr Bežanovič 1949- Sonstige (DE-588)1058151622 oth Mathematics and Its Applications 514 (DE-604)BV008163334 514 https://doi.org/10.1007/978-94-017-1687-1 Verlag Volltext |
spellingShingle | Buldygin, V. V. Geometric Aspects of Probability Theory and Mathematical Statistics Mathematics and Its Applications Mathematics Functional analysis Discrete groups Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Functional Analysis Mathematik Statistik |
title | Geometric Aspects of Probability Theory and Mathematical Statistics |
title_auth | Geometric Aspects of Probability Theory and Mathematical Statistics |
title_exact_search | Geometric Aspects of Probability Theory and Mathematical Statistics |
title_full | Geometric Aspects of Probability Theory and Mathematical Statistics by V. V. Buldygin, A. B. Kharazishvili |
title_fullStr | Geometric Aspects of Probability Theory and Mathematical Statistics by V. V. Buldygin, A. B. Kharazishvili |
title_full_unstemmed | Geometric Aspects of Probability Theory and Mathematical Statistics by V. V. Buldygin, A. B. Kharazishvili |
title_short | Geometric Aspects of Probability Theory and Mathematical Statistics |
title_sort | geometric aspects of probability theory and mathematical statistics |
topic | Mathematics Functional analysis Discrete groups Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Functional Analysis Mathematik Statistik |
topic_facet | Mathematics Functional analysis Discrete groups Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Convex and Discrete Geometry Measure and Integration Functional Analysis Mathematik Statistik |
url | https://doi.org/10.1007/978-94-017-1687-1 |
volume_link | (DE-604)BV008163334 |
work_keys_str_mv | AT buldyginvv geometricaspectsofprobabilitytheoryandmathematicalstatistics AT charazisvilialeksandrbezanovic geometricaspectsofprobabilitytheoryandmathematicalstatistics |