KMS Of Academy of mathematics and systems sciences, CAS
Confidence intervals for zero-inflated gamma distribution | |
Wang, Xiao1,2; Li, Min1; Sun, Weina1; Gao, Zheng3; Li, Xinmin1 | |
2022-07-20 | |
发表期刊 | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION |
ISSN | 0361-0918 |
页码 | 18 |
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. |
关键词 | Confidence interval Fiducial inference Method of variance of estimates recovery (MOVER) Parametric bootstrap Zero-inflated gamma distribution |
DOI | 10.1080/03610918.2022.2104315 |
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[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 |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000832515200001 |
出版者 | TAYLOR & FRANCIS INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/61158 |
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. |
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