KMS Of Academy of mathematics and systems sciences, CAS
A time-discrete and zero-adjusted gamma process model with application to degradation analysis | |
Song, Kai1,2; Shi, Jian1,2; Yi, Xiaojian1,3,4 | |
2020-12-15 | |
发表期刊 | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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ISSN | 0378-4371 |
卷号 | 560页码:10 |
摘要 | The standard gamma process is widely used for degradation modelling when the degradation paths are always positive and strictly increasing. Nevertheless, the standard gamma process is considered inappropriate if the observed sample paths are horizontal over several time intervals. Motivated by this phenomenon, we develop a time-discrete and zero-adjusted gamma process model. Statistical inference method of this model is then proposed. To illustrate our proposed model, both simulation study and real data analysis are conducted, whose results demonstrate that the proposed model has satisfactory fit performance and predictive performance. (c) 2020 Elsevier B.V. All rights reserved. |
关键词 | Gamma process Zero-adjusted Time-discrete Goodness-of-fit Predictive performance |
DOI | 10.1016/j.physa.2020.125180 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[71801196] ; National Major Project from Shanghai Nuclear Engineering Research & Design Institute, China[2017ZX06002006] ; China Postdoctoral Science Foundation[2018M631606] |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000580429800034 |
出版者 | ELSEVIER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/52329 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Shi, Jian; Yi, Xiaojian |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.China North Vehicle Res Inst, Dept Overall Technol, Beijing, Peoples R China 4.Beijing Inst Technol, Sch Mechatron Engn, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Song, Kai,Shi, Jian,Yi, Xiaojian. A time-discrete and zero-adjusted gamma process model with application to degradation analysis[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2020,560:10. |
APA | Song, Kai,Shi, Jian,&Yi, Xiaojian.(2020).A time-discrete and zero-adjusted gamma process model with application to degradation analysis.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,560,10. |
MLA | Song, Kai,et al."A time-discrete and zero-adjusted gamma process model with application to degradation analysis".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 560(2020):10. |
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