Outer measures and weak regularity of measures
type: Item
instance of: scholarly article
title: Outer measures and weak regularity of measures
zbMATH Open document ID: 0815.28011
DOI: 10.1155/S0161171295000056
author: Dale Siegel
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1995-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/47171
review text: Summary: This paper investigates smoothness properties of probability measures on lattices which imply regularity, and then considers weaker versions of regularity; in particular, weakly regular, vaguely regular, and slightly regular. They are derived from commonly used outer measures, and we analyze them mainly for the case of \(I({\mathcal L})\) or for those elements of \(I({\mathcal L})\) with added smoothness conditions, where \(I({\mathcal L})\) denotes the algebra of non-trivial zero-one valued finitely additive measures on the algebra \(A({\mathcal L})\) generated by the lattice \({\mathcal L}\) of subsets of an arbitrary set \(X\).
Mathematics Subject Classification ID: 28C15
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 28A60
zbMATH DE Number: 733293
zbMATH Keywords: probability measures on lattices
zbMATH Keywords: weakly regular
zbMATH Keywords: vaguely regular
zbMATH Keywords: slightly regular
zbMATH Keywords: outer measures
MaRDI profile type: Publication
OpenAlex ID: W2038060148
description: scientific article; zbMATH DE number 733293