# The Relevance of Measure and Probability, and Definition of Completeness of Probability

Bo Zhang; Hiroshi Yamazaki; Yatsuka Nakamura

Formalized Mathematics (2006)

- Volume: 14, Issue: 4, page 225-229
- ISSN: 1426-2630

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topBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. "The Relevance of Measure and Probability, and Definition of Completeness of Probability." Formalized Mathematics 14.4 (2006): 225-229. <http://eudml.org/doc/266604>.

@article{BoZhang2006,

abstract = {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.},

author = {Bo Zhang, Hiroshi Yamazaki, Yatsuka Nakamura},

journal = {Formalized Mathematics},

language = {eng},

number = {4},

pages = {225-229},

title = {The Relevance of Measure and Probability, and Definition of Completeness of Probability},

url = {http://eudml.org/doc/266604},

volume = {14},

year = {2006},

}

TY - JOUR

AU - Bo Zhang

AU - Hiroshi Yamazaki

AU - Yatsuka Nakamura

TI - The Relevance of Measure and Probability, and Definition of Completeness of Probability

JO - Formalized Mathematics

PY - 2006

VL - 14

IS - 4

SP - 225

EP - 229

AB - 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.

LA - eng

UR - http://eudml.org/doc/266604

ER -

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## Citations in EuDML Documents

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- Hiroyuki Okazaki, Yasunari Shidama, Probability on Finite Set and Real-Valued Random Variables

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