期刊论文

Yang, Wenzhi

英文

Applied Mathematics and Computation

0096-3003

2018

320

C

131-141

10.1016/j.amc.2017.09.020

The authors would like to express their sincere gratitude to the associate editor and two anonymous referees for their constructive comments which considerably help to improve the original manuscript. The works of D. H. Pan and W. Z. Yang were partly supported by the National Natural Science Foundation of China under Grants 11501005 and 11601006 , the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China under Grant KJ2016A027 , the Academic and Technology Leaders to Introduction Projects of Anhui University. The work of H. Z. Fang was supported by the National Natural Science Foundation of China under Grant 41501371. The work of Y. T. Wei was supported by the National Natural Science Foundation of China under Grant 61502195.

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This paper proposes a reliability estimation approach based on EM algorithm and Wiener processes by considering measurement errors. Firstly, the time-transformed Wiener processes are used to model the degradation process of the product, which simultaneously consider the temporal variability, unit-to-unit heterogeneity and measurement errors. In addition, we obtain the closed-form expressions of some reliability quantities such as reliability function and probability density function of the life. Moreover, the expectation maximization algorithm ...