On the efficiency of multivariate spatial sign and rank tests

成果类型:
Article
署名作者:
Möttönen, J; Oja, H; Tienari, J
署名单位:
University of Oulu
刊物名称:
ANNALS OF STATISTICS
ISSN/ISSBN:
0090-5364
发表日期:
1997
页码:
542-552
关键词:
摘要:
Asymptotic Pitman efficiencies of multivariate spatial sign and rank methods are considered in the one-sample location case. Limiting distributions of the spatial sign and signed-rank tests under the null hypothesis as well as under contiguous sequences of alternatives are given. Formulae for asymptotic relative efficiencies are found and, under multivariate t distributions, relative efficiencies with respect to Hotelling's T-2 test are calculated.