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題名 | On Selecting the Best Component of a Multivariate Normal Population= |
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作者 | 周文賢; |
期刊 | 明志工專學報 |
出版日期 | 19840800 |
卷期 | 16 1984.08[民73.08] |
頁次 | 頁1-17 |
分類號 | 319 |
語文 | eng |
關鍵詞 | |
英文摘要 | The problem of selecting the component having the largest population mean in a k-variate normal population has been discussed when all the mean, variances and correlations are unknown. The indifference-zone formulation has been adopted, and we propose a two-stage procedure (Pѕ) that guarantees the nominal value (p*) of probability of correct selection under the assumption that all the correlations are non-negative. We observe that Pѕ is better than the procedure P[8ed0] of Dudewicz and Dalal (1975) for P*≤.95, k=2, while for k>3, P[8ed0] is better than P[8ed0]. This comparison is naturally valid when both P[8ed0] and Pѕ are applicable, and also there are situations where only Pѕ is applicable. |
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