Lattices of capacities, and related topologies1

H. Holwerda and W. Vervaat

Statistica Neerlandica, 1996, vol. 50, issue 2, 306-324

Abstract: Capacities are defined as set functions with regularity properties in terms of two general families K and G of ‘inner’ and ‘outer’ sets (K = compact sets, G= open sets in the standard case). The space C of all such capacities is a complete lattice with respect to its natural partial order. The lattice structure of C is studied in combination with the natural topology of C. Also some subspaces are investigated.

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/j.1467-9574.1996.tb01496.x

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:50:y:1996:i:2:p:306-324

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().