SOME INCOMPLETE BUT BOUNDEDLY COMPLETE LOCATION FAMILIES

Authors
MATTNER L
Citation
L. Mattner, SOME INCOMPLETE BUT BOUNDEDLY COMPLETE LOCATION FAMILIES, Annals of statistics, 21(4), 1993, pp. 2158-2162
Citations number
11
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
21
Issue
4
Year of publication
1993
Pages
2158 - 2162
Database
ISI
SICI code
0090-5364(1993)21:4<2158:SIBBCL>2.0.ZU;2-A
Abstract
A general result concerning noncompleteness of location families of pr obability measures on Euclidean space is pointed out. Examples include boundedly complete families, such as those generated by certain scale mixtures of the standard Gaussian distribution. These examples illumi nate completeness criteria for location families and compare favourabl y in simplicity with previously known examples of incomplete boundedly complete (nonlocation) families.