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Confidence intervals for zero-inflated gamma distribution

文献类型：期刊论文

作者Wang, Xiao1,2; Li, Min1; Sun, Weina1; Gao, Zheng3; Li, Xinmin1
刊名COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
出版日期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
DOI10.1080/03610918.2022.2104315
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
WOS记录号WOS:000832515200001
出版者TAYLOR & FRANCIS INC
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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