Results 31 to 40 of about 821 (276)

Smoothness conditions on measures using Wallman spaces

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, X denotes an arbitrary nonempty set, ℒ a lattice of subsets of X with ∅,X∈ℒ,A(ℒ) is the algebra generated by ℒ and M(ℒ) is the set of nontrivial, finite, and finitely additive measures on A(ℒ), and MR(ℒ) is the set of elements of M(ℒ ...
Charles Traina
doaj   +1 more source

Finitely-additive, countably-additive and internal probability measures [PDF]

, 2018
summary:We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an internal probability measure and its push-down measure is ...
Duanmu, Haosui, Weiss, William
core   +1 more source

On Lebesgue-like Extensions of Finitely Additive Measures

Annals of Probability, 1974
Lester E Dubins
exaly   +4 more sources

On Finitely Additive Measures in Boolean Algebras. [PDF]

crll, 1964
[no abstract] ; © 1964 Walter de Gruyter GmbH. eingagen 20. April 1963. Part of this work was supported by National Science Foundation G-19914.
openaire   +3 more sources

Convergence in measure under finite additivity [PDF]

Sankhya A, 2013
We investigate the possibility of replacing the topology of convergence in probability with convergence in $L^1$. A characterization of continuous linear functionals on the space of measurable functions is also obtained.
openaire   +3 more sources

On maximal measures with respect to a lattice

International Journal of Mathematics and Mathematical Sciences, 1991
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on
James Camacho
doaj   +1 more source

Measures on coallocation and normal lattices

International Journal of Mathematics and Mathematical Sciences, 1992
Let ℒ1 and ℒ2 be lattices of subsets of a nonempty set X. Suppose ℒ2 coallocates ℒ1 and ℒ1 is a subset of ℒ2. We show that any ℒ1-regular finitely additive measure on the algebra generated by ℒ1 can be uniquely extended to an ℒ2-regular measure on the ...
Jack-Kang Chan
doaj   +1 more source

The Kullback–Leibler Information Function for Infinite Measures

Entropy, 2016
In this paper, we introduce the Kullback–Leibler information function ρ ( ν , μ ) and prove the local large deviation principle for σ-finite measures μ and finitely additive probability measures ν.
Victor Bakhtin, Edvard Sokal
doaj   +1 more source

A Countable Economy: An Example

, 2006
Weiss (1981) established core equivalence and the existence of competitive equilibria in finitely additive exchange economies. To underline the relevance of finitely additive economies we present in this note an example with a close connection to finite ...
Tasnádi, Attila
core   +1 more source

Translation invariance and finite additivity in a probability measure on the natural numbers

International Journal of Mathematics and Mathematical Sciences, 2002
Inspired by the “two envelopes exchange paradox,” a finitely additive probability measure m on the natural numbers is introduced. The measure is uniform in the sense that m({i})=m({j}) for all i,j∈ℕ.
Robert Gardner, Robert Price
doaj   +1 more source