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頁籤選單縮合
題 名 | Nonparametric Tests for the Multivariate Multi-Sample Location Problem |
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作 者 | Um,Yonghwan; Randles,Ronald H.; | 書刊名 | Statistica Sinica |
卷 期 | 8:3 1998.07[民87.07] |
頁 次 | 頁801-812 |
分類號 | 319.5 |
關鍵詞 | 無母數檢定; 布局問題; Interdirections; Location problem; Multi-sample; Multivariate; Nonparametric; |
語 文 | 英文(English) |
英文摘要 | Nonparametric tests for the multi-sample multivariate location problem are proposed which extend the two-sample multivariate rank test by Randles and Peters (1990) to the multi-sample setting. The asymptotic distributions of the proposed statistics under the null hypothesis and under certain contiguous alternatives are obtained for a class of elliptically symmetric distributions. Comparisons are made between the proposed statistics and several competitors via Pitman asymptotic relative efficiencies and Monte Carlo results. The tests proposed perform better than the Lawley-Hotelling generalized □ for heavy-tailed distributions. For normal to light-tailed distributions, the proposed statistics also perform better than other nonparametric competitors and the proposed analog of the signed-rank test performs better than the Lawley-Hotelling generalized □ for light-tailed distributions. |
本系統中英文摘要資訊取自各篇刊載內容。