An alternative estimation method for the accelerated failure time frailty model

2007 ◽  
Vol 51 (9) ◽  
pp. 4413-4423 ◽  
Author(s):  
Jiajia Zhang ◽  
Yingwei Peng
Keyword(s):  
Failure Time ◽  
Estimation Method ◽  
Frailty Model ◽  
Accelerated Failure Time ◽  
Accelerated Failure

scholarly journals Generalized Accelerated Failure Time Frailty Model for Systems Subject to Imperfect Preventive Maintenance

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Huilin Yin ◽  
Xiaohan Yang ◽  
Rui Peng
Keyword(s):  
Em Algorithm ◽  
Preventive Maintenance ◽  
Failure Time ◽  
Frailty Model ◽  
Remaining Useful Life ◽  
Model Parameters ◽  
Accelerated Failure Time ◽  
Ml Estimation ◽  
Industrial Systems ◽  
Accelerated Failure

Imperfect preventive maintenance (PM) activities are very common in industrial systems. For condition-based maintenance (CBM), it is necessary to model the failure likelihood of systems subject to imperfect PM activities. In this paper, the models in the field of survival analysis are introduced into CBM. Namely, the generalized accelerated failure time (AFT) frailty model is investigated to model the failure likelihood of industrial systems. Further, on the basis of the traditional maximum likelihood (ML) estimation and expectation maximization (EM) algorithm, the hybrid ML-EM algorithm is investigated for the estimation of parameters. The hybrid iterative estimation procedure is analyzed in detail. In the evaluation experiment, the generated data of a typical degradation model are verified to be appropriate for the real industrial processes with imperfect PM activities. The estimates of the model parameters are calculated using the training data. Then, the performance of the model is analyzed through the prediction of remaining useful life (RUL) using the testing data. Finally, comparison between the results of the proposed model and the existing model verifies the effectiveness of the generalized AFT frailty model.

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