SOME INCOMPLETE BUT BOUNDEDLY COMPLETE LOCATION FAMILIES
成果类型:
Article
署名作者:
MATTNER, L
刊物名称:
ANNALS OF STATISTICS
ISSN/ISSBN:
0090-5364
DOI:
10.1214/aos/1176349416
发表日期:
1993
页码:
2158-2162
关键词:
摘要:
A general result concerning noncompleteness of location families of probability 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 illuminate completeness criteria for location families and compare favourably in simplicity with previously known examples of incomplete boundedly complete (nonlocation) families.