An Alternative Distribution-Free Confidence Interval for Population Quantiles

母體分位數的信賴區間

沈欣怡(Hsin-I Shen) ； 陳鄰安(Lin-An Chen)

《中國統計學報》 50卷3期 (2012/09) Pp. 173-185

https://doi.org/10.29973/JCSA.201209.0004

摘要

使用一般順序統計量建立母體分位數之信賴區間為一般研究者或應用者所廣泛使用。我們定義由對稱型分位數來建立母體分位數之信賴區間。我們在對稱母體分配之下模擬分析了這兩種信賴區間。在分配對稱中心已知與未知條件下結果顯示這個新方法具有說服力。

關鍵字

信賴區間 ； 經驗分位數 ； 對稱型分位數

並列摘要

The quantile confidence interval (C.I.) using the (ordinary) order statistics as interval limits for the population quantile is widely used in statistical applications. We define an alternative quantile C.I. for the population quantile based on a symmetric type order statistics. We compare these two quantile C.I.'s, under the assumption of symmetric distribution, for cases of a known and unknown population location.

並列關鍵字

Confidence interval ； Empirical quantile ； Symmetric quantile

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