Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance

Qihong Duan; Ying Wei; Xiang Chen

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Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance

机译：基于条件的维护中备用系统的最大似然估计器的唯一性

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A parameter estimation problem for a backup system in a condition-based maintenance is considered. We model a backup system by a hidden, three-state continuous time Markov process. Data are obtained through condition monitoring at discrete time points. Maximum likelihood estimates of the model parameters are obtained using the EM algorithm. We establish conditions under which there is no more than one limitation in the parameter space for any sequence derived by the EM algorithm.

机译：考虑了基于条件的维护中备用系统的参数估计问题。我们通过隐藏的三态连续时间马尔可夫过程对备份系统进行建模。通过在离散时间点进行状态监视获得数据。使用EM算法可获得模型参数的最大似然估计。我们建立条件，在该条件下，对于由EM算法得出的任何序列，参数空间中的限制不得超过一个。

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《International journal of quality, statistics, & reliability》 |2012年第2012期|14.1-14.5|共5页
作者
Qihong Duan; Ying Wei; Xiang Chen;
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Department of Statistics, School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, China;

Department of Statistics, School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, China;

Department of Statistics, School of Mathematics and Statistics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, China;

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1. Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance [J] . QihongDuan, YingWei, XiangChen Journal of Quality and Reliability Engineering . 2012,第4期

机译：基于条件的维护中备用系统的最大似然估计器的唯一性
2. Existence and uniqueness of the maximum likelihood estimator for models with a Kronecker product covariance structure [J] . Ros Beata, Bijma Fetsje, de Munck Jan C., Journal of Multivariate Analysis: An International Journal . 2016,第Null期

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3. A note on the existence and uniqueness of quasi-maximum likelihood estimators for mixed regressive, spatial autoregression models [J] . Li M., Yu D., Bai P. Statistics & Probability Letters . 2013,第2期

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7. Existence and uniqueness of the maximum likelihood estimator for models with a Kronecker product covariance structure [O] . Ros, B.P., Bijma, F., de Munck, J.C., 2016

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Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance

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