Displaying similar documents to “The law of nought-or-one in the theory of probability”

On the extension of measures.

Baltasar Rodríguez-Salinas (2001)

RACSAM

Similarity:

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.

Product liftings and densities with lifting invariant and density invariant sections

Kazimierz Musiał, W. Strauss, N. Macheras (2000)

Fundamenta Mathematicae

Similarity:

Given two measure spaces equipped with liftings or densities (complete if liftings are considered) the existence of product liftings and densities with lifting invariant or density invariant sections is investigated. It is proved that if one of the marginal liftings is admissibly generated (a subclass of consistent liftings), then one can always find a product lifting which has the property that all sections determined by one of the marginal spaces are lifting invariant (Theorem 2.13)....