Fiducial inference on gamma distributions: two-sample problems with multiple detection limits

doi:10.1007/s10651-022-00528-5

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	Fiducial inference on gamma distributions: two-sample problems with multiple detection limits
	Wang, Xiao 1,2; Li, Xinmin 1; Zhang, Ling 3; Liu, Zhirun 1; Li, Min 1
	2022-02-16
发表期刊	ENVIRONMENTAL AND ECOLOGICAL STATISTICS
ISSN	1352-8505
页码	23
摘要	The problems of finding confidence limits for the difference between two gamma means and the difference between two upper percentiles based on samples with multiple detection limits are considered. Simple methods for constructing confidence intervals and upper tolerance limits are developed based on cube root transformation and fiducial inferences. The performances of the proposed methods are evaluated by Monte Carlo simulations and are compared with parametric bootstrap and the method of variance estimates recovery. Computational results indicate that the proposed methods provide more satisfactory results even for small samples with high proportion of nondetects. The approaches are illustrated with some practical datasets.
关键词	Confidence intervals Detection limits Fiducial approach Maximum likelihood estimates Tolerance limits
DOI	10.1007/s10651-022-00528-5
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12101346] ; National Natural Science Foundation of China[11871294] ; Shandong Provincial Natural Science Foundation, China[ZR2021QA053] ; Shandong Provincial Natural Science Foundation, China[ZR2021QA044] ; Science and Technology Support Plan for Youth Innovation of Colleges in Shandong Province[DC2000000891]
WOS研究方向	Environmental Sciences & Ecology ; Mathematics
WOS类目	Environmental Sciences ; Mathematics, Interdisciplinary Applications ; Statistics & Probability
WOS记录号	WOS:000756187000001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59987
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Min
作者单位	1.Qingdao Univ, Sch Math & Stat, Qingdao, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Salk Inst Biol Studies, 10010 N Torrey Pines Rd, La Jolla, CA 92037 USA
推荐引用方式 GB/T 7714	Wang, Xiao,Li, Xinmin,Zhang, Ling,et al. Fiducial inference on gamma distributions: two-sample problems with multiple detection limits[J]. ENVIRONMENTAL AND ECOLOGICAL STATISTICS,2022:23.
APA	Wang, Xiao,Li, Xinmin,Zhang, Ling,Liu, Zhirun,&Li, Min.(2022).Fiducial inference on gamma distributions: two-sample problems with multiple detection limits.ENVIRONMENTAL AND ECOLOGICAL STATISTICS,23.
MLA	Wang, Xiao,et al."Fiducial inference on gamma distributions: two-sample problems with multiple detection limits".ENVIRONMENTAL AND ECOLOGICAL STATISTICS (2022):23.