Title
Ordered Probabilistic Metric-Spaces
Abbreviated Journal Title
J. Aust. Math. Soc. A-Pure Math. Stat.
Keywords
Mathematics; Statistics & Probability; Uniform Space; Cauchy Filter
Abstract
Probabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spaces. The latter spaces arise naturally in the study of probability and statistics; they closely resemble the uniform ordered spaces of L. Nachbin. A procedure is described for constructing ordered probabilistic metric spaces from quasi-simple spaces, and a completions theory is developed simultaneously for probabilistic quasi-metric spaces and ordered probabilistic metric spaces.
Journal Title
Journal of the Australian Mathematical Society Series a-Pure Mathematics and Statistics
Volume
46
Publication Date
1-1-1989
Document Type
Article
Language
English
First Page
88
Last Page
99
WOS Identifier
ISSN
0263-6115
Recommended Citation
Kent, D. C. and Richardson, G. D., "Ordered Probabilistic Metric-Spaces" (1989). Faculty Bibliography 1980s. 785.
https://stars.library.ucf.edu/facultybib1980/785
Comments
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