Geometric Aspects of Probability Theory and Mathematical Statistics
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 o...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Convex sets in vector spaces
- 2. Brunn-Minkowski inequality
- 3. Convex polyhedra
- 4. Two classical isoperimetric problems
- 5. Some infinite-dimensional vector spaces
- 6. Probability measures and random elements
- 7. Convergence of random elements
- 8. The structure of supports of Borel measures
- 9. Quasi-invariant probability measures
- 10. Anderson inequality and unimodal distributions
- 11. Oscillation phenomena and extensions of measures
- 12. Comparison principles for Gaussian processes
- 13. Integration of vector-valued functions and optimal estimation of stochastic processes
- Appendix 1: Some properties of convex curves
- Appendix 2: Convex sets and number theory
- Appendix 3: Measurability of cardinals