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The Properties of Order and Failure Estimation on Redundancy System

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Book cover Recent Advances in Intelligent Information Hiding and Multimedia Signal Processing (IIH-MSP 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 110))

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Abstract

Redundant backup system is a common system in the real world, especially in aviation, electromechanics and other fields. Therefore, it is meaningful to give the parameter estimation of redundant systems. Previous research has given some results about the order and failure rate of the redundancy distributed redundant backup system, thus providing consumers with a computed and measurable product reliability calculation method. By using the irreplaceable censored life test, Providing a statistical significance of the estimation formula. However, the properties of estimation are not given and how to improve it. The study gives the estimation properties in probabilistic sense, which is asymptotic convergence in probability. Continue to improve the estimator on variance, so as to achieve asymptotic minimum consistent variance estimation. This ensures that the given estimation formula is available in practice.

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Acknowledgments

This research was partially supported by Fujian Province Education Hall Youth Project (number: JAT170679), by the Electronic information and engineering institute of Fujian Normal University, by the Institute of Innovative Information Industry of Fujian Normal University, and the School of Economic of Fujian Normal University.

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Correspondence to Chao-Fan Xie .

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Xu, L., Xie, CF., Xu, LX., Zhang, F. (2019). The Properties of Order and Failure Estimation on Redundancy System. In: Pan, JS., Ito, A., Tsai, PW., Jain, L. (eds) Recent Advances in Intelligent Information Hiding and Multimedia Signal Processing. IIH-MSP 2018. Smart Innovation, Systems and Technologies, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-030-03748-2_30

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