查詢結果分析
來源資料
頁籤選單縮合
題名 | Stein定理與相關定理之證明及其在排序與擇優選取上之應用=Proof of Stein's and Related Theorems and Their Applications to Ranking and Selection |
---|---|
作者 | 溫敏杰; 杜宜軒; Wen, Miin-jye; Tu, Yi-hsuan; |
期刊 | 中國統計學報 |
出版日期 | 20010300 |
卷期 | 39:1 2001.03[民90.03] |
頁次 | 頁57-71 |
分類號 | 319.5 |
語文 | chi |
關鍵詞 | 多重比較; 兩階段抽樣法; 排序與擇優選取; Stein定理; Multiple comparison; Ranking and selection; Stein theorem; Two-stage sampling procedure; |
中文摘要 | Stein(1945)提出2樣本檢定使檢定力與變異數成為獨立之定理與方法。然而Stein所提定理,歷年來相關文獻皆是引用他的定理來使用或推廣,未曾有正式之證明。故本文第一件工作乃是提出此定理與相關定理之證明。又因本定理主要是處理母群體變異數未知時之問題,故在排序與擇優選取(ranking and selection )上處理k個常態母群體時 ,可以推展本定理之應用,所以,本文第二件工作乃是介紹Stein定理在排序與擇優選取上之應用,希冀能將此定理與應用結合,俾使此定理更加完備。 |
英文摘要 | Stein (1945) proposed a two-sample procedure to test for the population mean with unknown variance. However, a formal proof for Stein’s theorem has never been given in the literature. The purpose of this paper is two-fold. First , we proved Stein’s and related theorems. An attempt of applying the theorems to ranking and selection has also been made in order to gain more understanding of Stein’s theorem and make it more complete as well. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。