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

doi:10.1007/s10651-022-00528-5

	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
刊名	ENVIRONMENTAL AND ECOLOGICAL STATISTICS
	2022-02-16
页码	23
关键词	Confidence intervals Detection limits Fiducial approach Maximum likelihood estimates Tolerance limits
ISSN号	1352-8505
DOI	10.1007/s10651-022-00528-5
英文摘要	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.
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
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000756187000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59986]
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.