In this article, we first discuss the relation between measure defined using extended real numbers and probability defined using real numbers. Further, we define completeness of probability, and its completion method, and also show that they coincide with those of measure.
@article{bwmeta1.element.doi-10_2478_v10037-006-0026-8,
author = {Bo Zhang and Hiroshi Yamazaki and Yatsuka Nakamura},
title = {The Relevance of Measure and Probability, and Definition of Completeness of Probability},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {225-229},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0026-8}
}
Bo Zhang; Hiroshi Yamazaki; Yatsuka Nakamura. The Relevance of Measure and Probability, and Definition of Completeness of Probability. Formalized Mathematics, Tome 14 (2006) pp. 225-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0026-8/
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