A Reliability Growth Process Model with Time-Varying Covariates and Its Application
文献类型：期刊论文
| 作者 | Tian, Xin-Yu2,3; Shi, Xincheng4; Peng, Cheng1; Yi, Xiao-Jian5 |
| 刊名 | MATHEMATICS
 |
| 出版日期 | 2021-04-01 |
| 卷号 | 9期号:8页码:15 |
| 关键词 | AMSAA model reliability growth covariate effects maximum likelihood statistical inference |
| DOI | 10.3390/math9080905 |
| 英文摘要 | The nonhomogeneous Poisson process model with power law intensity, also known as the Army Materiel Systems Analysis Activity (AMSAA) model, is commonly used to model the reliability growth process of many repairable systems. In practice, it is necessary to test the reliability of the product under different operational environments. In this paper we introduce an AMSAA-based model considering the covariate effects to measure the influence of the time-varying environmental condition. The parameter estimation of the model is typically performed using maximum likelihood on the failure data. The statistical properties of the estimation in the model are comprehensively derived by the martingale theory. Further inferences including confidence interval estimation and hypothesis tests are designed for the model. The performance and properties of the method are verified in a simulation study, compared with the classical AMSAA model. A case study is used to illustrate the practical use of the model. The proposed approach can be adapted for a wide class of nonhomogeneous Poisson process based models. |
| 资助项目 | National Natural Science Foundation of China[71801196] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000644513100001 |
| 出版者 | MDPI |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58460]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yi, Xiao-Jian |
| 作者单位 | 1.Univ Chicago, Dept Stat, Chicago, IL 20202 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Calif Los Angeles, Dept Psychol, Los Angeles, CA 90095 USA 5.Beijing Inst Technol, Sch Mechatron Engn, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tian, Xin-Yu,Shi, Xincheng,Peng, Cheng,et al. A Reliability Growth Process Model with Time-Varying Covariates and Its Application[J]. MATHEMATICS,2021,9(8):15. |
| APA | Tian, Xin-Yu,Shi, Xincheng,Peng, Cheng,&Yi, Xiao-Jian.(2021).A Reliability Growth Process Model with Time-Varying Covariates and Its Application.MATHEMATICS,9(8),15. |
| MLA | Tian, Xin-Yu,et al."A Reliability Growth Process Model with Time-Varying Covariates and Its Application".MATHEMATICS 9.8(2021):15. |
入库方式： OAI收割
来源：数学与系统科学研究院
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