A Note on the Bayes Sequential Interval Estimation: the Normal Case
學年 88
學期 1
發表日期 2000-12-08
作品名稱 A Note on the Bayes Sequential Interval Estimation: the Normal Case
作品名稱（其他語言）
著者 Hwang, Leng-cheng; Yang, Chia-chen; 楊家禎
作品所屬單位 淡江大學數學學系
出版者 Taipei : Tamkang University
會議名稱 2000年國際數學與統計研討會暨第34屆中華民國數學會年會.. 慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University)
會議地點 臺北縣, 臺灣
摘要 The problem of Bayes sequent.ial int.erval estimation was discussed in many papers, for example: Blumenthal(1970) and Gieser and Knute (1976). Based on those papers, we know that the interval estimation procedures always depend on t.he prior distribution. This paper will consider t.he problem of the Bayes sequential int.erval estimation of t.he mean of a normal distribution with known variance. We propose an interval estimation procedure with deterministic stopping rule. The proposed interval estimation procedure does not depend on the prior and it is shown to be asymptotically point optimal (A.P.O.) and asymptotically Bayes in the sense of Bickel and Yahav (1967, 1968) for a large class of prior distributions.
關鍵字
語言 en
收錄於
會議性質 國內
校內研討會地點 淡水校園
研討會時間 20001208~20001210
通訊作者
國別 TWN
公開徵稿 Y
出版型式 紙本
出處 2000年國際數學與統計研討會暨第34屆中華民國數學會年會：慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.89
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