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A Reliability Growth Process Model with Time-Varying Covariates and Its Application
Tian, Xin-Yu1,2; Shi, Xincheng3; Peng, Cheng4; Yi, Xiao-Jian5
2021-04-01
Source PublicationMATHEMATICS
Volume9Issue:8Pages:15
AbstractThe 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.
KeywordAMSAA model reliability growth covariate effects maximum likelihood statistical inference
DOI10.3390/math9080905
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[71801196]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000644513100001
PublisherMDPI
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58461
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYi, Xiao-Jian
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Univ Calif Los Angeles, Dept Psychol, Los Angeles, CA 90095 USA
4.Univ Chicago, Dept Stat, Chicago, IL 20202 USA
5.Beijing Inst Technol, Sch Mechatron Engn, Beijing 100081, Peoples R China
Recommended Citation
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.
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