Confidence intervals for zero-inflated gamma distribution

doi:10.1080/03610918.2022.2104315

	Confidence intervals for zero-inflated gamma distribution
	Wang, Xiao 1,2; Li, Min 1; Sun, Weina 1; Gao, Zheng 3; Li, Xinmin 1
刊名	COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
	2022-07-20
页码	18
关键词	Confidence interval Fiducial inference Method of variance of estimates recovery (MOVER) Parametric bootstrap Zero-inflated gamma distribution
ISSN号	0361-0918
DOI	10.1080/03610918.2022.2104315
英文摘要	The problems of constructing confidence intervals (CIs) for the mean of a gamma distribution containing zero values are considered. Three different methods for constructing such CIs based on Parametric Bootstrap (PB) method, fiducial inference and the method of variance of estimates recovery (MOVER) are developed. The performances of the proposed CIs are evaluated by Monte Carlo simulation and compared with a published method, asymptotic normal (AN) method. The simulation studies indicate that the proposed methods perform better than the existing method (AN) according to coverage probabilities (CPs), tail error rates, robustness and time comparison. All the methods are illustrated using a dataset for HIV risk behavior in adolescent girls and a dataset for the immunologic response to combination therapy for HIV children. Recommendations are made at the end of the articles.
资助项目	National Natural Science Foundation of China[12101346] ; National Natural Science Foundation of China[11871294] ; Shandong Provincial Natural Science Foundation[ZR2021QA053] ; Shandong Provincial Natural Science Foundation[ZR2021QA044] ; Science and Technology Support Plan for Youth Innovation of Colleges in Shandong Province[DC2000000891]
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS INC
WOS记录号	WOS:000832515200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61157]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Xinmin
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.Univ Bristol, Dept Econ, Bristol, Avon, England
推荐引用方式 GB/T 7714	Wang, Xiao,Li, Min,Sun, Weina,et al. Confidence intervals for zero-inflated gamma distribution[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,2022:18.
APA	Wang, Xiao,Li, Min,Sun, Weina,Gao, Zheng,&Li, Xinmin.(2022).Confidence intervals for zero-inflated gamma distribution.COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,18.
MLA	Wang, Xiao,et al."Confidence intervals for zero-inflated gamma distribution".COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2022):18.