A Reliability Growth Process Model with Time-Varying Covariates and Its Application

doi:10.3390/math9080905

CSpace

	A Reliability Growth Process Model with Time-Varying Covariates and Its Application
	Tian, Xin-Yu 1,2; Shi, Xincheng 3; Peng, Cheng 4; Yi, Xiao-Jian 5
	2021-04-01
发表期刊	MATHEMATICS
卷号	9 期号:8 页码:15
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.
关键词	AMSAA model reliability growth covariate effects maximum likelihood statistical inference
DOI	10.3390/math9080905
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[71801196]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000644513100001
出版者	MDPI
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58461
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.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
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.