標題: | 容忍區間 Tolerance Intervals |
作者: | 顏雅芬 Ya-Fen Yen 陳鄰安 Lin-An Chen 統計學研究所 |
關鍵字: | 信賴區間;覆蓋區間;容忍區間;confidence interval;coverage interval;tolerance interval |
公開日期: | 2005 |
摘要: | 針對生產者的需求,我們定義了可容許性容忍區間的概念。
由此一觀念,一般藉由Wilks (1941) 所定義的容忍區間可能是
不具可容許性的容忍區間。因此,我們證明出最常用於常態分配
的Eisenhart et al. (1947) 容忍區間是不具可容許性的。我們
證明出一個隨機區間是具有可容許性的性質,若且為若它是一個
由覆蓋區間所建立的信賴區間。我們更進一步地評估一些已存在
的容忍區間它們的可容許性程度。最後,我們推導出某些分配的
最短可容許性容忍區間。 For tolerance interval, we define a concept of admissibility that is desired for manufacturer. This leads to a problem that the general concept of tolerance intervals defined by Wilks (1941) may provide in-admissible tolerance intervals. For this, we show that the most popular normal tolerance interval of Eisenhart et al. (1947) is not admissible. A theory showing that a random interval is an admissible tolerance interval if and only if a confidence interval of a coverage interval is established. We further evaluate some existed tolerance intervals for their admissibility and also derive the shortest admissible tolerance intervals for some distributions. |
URI: | http://140.113.39.130/cdrfb3/record/nctu/#GT009326501 http://hdl.handle.net/11536/79278 |
顯示於類別: | 畢業論文 |