Improved confidence estimators for confidence sets of location parameters

Hsiuying Wang*

*Corresponding author for this work

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

Consider a p-dimensional location family symmetrical about θ. Let Ct(X) be a 1 - α confidence set {θ: t(X) - θ ≤c} of θ, where t(X) is some reasonable estimator of θ. Traditionally, the confidence coefficient 1 - α, which is data independent, is used to be the report for the confidence of Ct(X). In this paper, some improved confidence reports are provided for p ≥ 5. These results are related to Robinson (Ann. Statistic 7 (1979) 756). The normal case discussed in Robinson (Ann. Statistic 7 (1979) 756) is a special case of the results of this paper. Moreover, some admissibility results when p≤4 are also present in this paper.

原文English
頁(從 - 到)95-107
頁數13
期刊Journal of Statistical Planning and Inference
128
發行號1
DOIs
出版狀態Published - 15 一月 2005

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