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Probabilistic Metric Spaces
by B. Schweizer,A. Sklar

ISBN: 0486445143
Dover Publications Price: $19.95
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This non-classical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables. Topics include special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. 1983 edition, updated with 3 new appendixes. Includes 17 illustrations.

Republication of the New York, 1983 edition, updated with 3 new appendices.


Table of Contents for Probabilistic Metric Spaces
Preface to Dover Edition
Preface
Special Symbols
1. Introduction and Historical Survey
2. Preliminaries
3. Metric and Topical Structures
4. Distribution Functions
5. Associativity
6. Copulas
7. Triangle Functions
8. Probabilistic Metric Spaces
9. Random Metric Spaces
10. Distribution-Generated Spaces
11. Transformation-Generated Spaces
12. The Strong Topology
13. Profile Functions
14. Betweenness
15. Supplements
References
Index
Errata
Notes
Supplementary References

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