Two-valued measures on -classes
Mirko Navara, Pavel Pták (1983)
Časopis pro pěstování matematiky
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Mirko Navara, Pavel Pták (1983)
Časopis pro pěstování matematiky
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Mirko Navara (1984)
Mathematica Slovaca
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Jozef Dravecký, Ján Šipoš (1980)
Mathematica Slovaca
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Baltasar Rodríguez-Salinas (2001)
RACSAM
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We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σ, μ) of spaces of probability to have a measure μ which is an extension of all the measures μ. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.
Bo Zhang, Hiroshi Yamazaki, Yatsuka Nakamura (2006)
Formalized Mathematics
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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.