淡江大學機構典藏:Item 987654321/41203
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    題名: Optimal confidence interval for the largest normal mean with unknown variance
    作者: 陳順益;Chen, Shun-yi;Chen, Hubert J.
    貢獻者: 淡江大學數學學系
    關鍵詞: t Distribution;Expected interval width;Critical values;Least favorable configuration
    日期: 2004-11-01
    上傳時間: 2010-01-28 06:56:42 (UTC+8)
    出版者: Elsevier
    摘要: A single-sample procedure for obtaining an optimal confidence interval for the largest or smallest mean of several independent normal populations is proposed. It is assumed that the common variance is unknown. It has been found that the optimal confidence interval is uniformly better than any other existing one-sample confidence interval in the sense of a reduced interval width. This optimal confidence interval is obtained by maximizing the coverage probability with the expected confidence width being fixed at a least favorable configuration of means. Tables of the critical values are given for the optimal confidence interval.
    關聯: Computational Statistics and Data Analysis 47(4), pp.845-866
    DOI: 10.1016/j.csda.2004.01.009
    顯示於類別:[數學學系暨研究所] 期刊論文

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