Reliability Evaluation Method Based on Double Beta Prior Distribution for the Pyrotechnic Device

Li Cheng; Yuanyuan Yang; Huina Mu; Xiaoyu Yang; Li Li; Yuquan Wen

doi:10.1007/s12204-019-2102-6

Reliability Evaluation Method Based on Double Beta Prior Distribution for the Pyrotechnic Device

Li Cheng, Yuanyuan Yang, Huina Mu^*, Xiaoyu Yang, Li Li, Yuquan Wen

^*Corresponding author for this work

School of Mechatronical Engineering

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

On the basis of the Bayesian principle, a method of selecting the double beta distribution as a priori distribution is proposed for the system reliability evaluation when the available field test samples are small for pyrotechnic device. Under the condition of different field and historical data, the mean square error (MSE) and coverage ratio (CR) of the reliability evaluation are compared by numerical simulation when the conjugate distribution and uniform distribution are selected as the priori distribution. Finally, the rationality and engineering applicability of the proposed method are verified through an example of the reliability evaluation of a typical pyrotechnic device.

Original language	English
Pages (from-to)	622-627
Number of pages	6
Journal	Journal of Shanghai Jiaotong University (Science)
Volume	24
Issue number	5
DOIs	https://doi.org/10.1007/s12204-019-2102-6
Publication status	Published - 1 Oct 2019

Keywords

A
Bayesian principle
TB 114
double beta distribution
reliability evaluation

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10.1007/s12204-019-2102-6

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title = "Reliability Evaluation Method Based on Double Beta Prior Distribution for the Pyrotechnic Device",

abstract = "On the basis of the Bayesian principle, a method of selecting the double beta distribution as a priori distribution is proposed for the system reliability evaluation when the available field test samples are small for pyrotechnic device. Under the condition of different field and historical data, the mean square error (MSE) and coverage ratio (CR) of the reliability evaluation are compared by numerical simulation when the conjugate distribution and uniform distribution are selected as the priori distribution. Finally, the rationality and engineering applicability of the proposed method are verified through an example of the reliability evaluation of a typical pyrotechnic device.",

keywords = "A, Bayesian principle, TB 114, double beta distribution, reliability evaluation",

author = "Li Cheng and Yuanyuan Yang and Huina Mu and Xiaoyu Yang and Li Li and Yuquan Wen",

note = "Publisher Copyright: {\textcopyright} 2019, Shanghai Jiao Tong University and Springer-Verlag GmbH Germany, part of Springer Nature.",

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TY - JOUR

T1 - Reliability Evaluation Method Based on Double Beta Prior Distribution for the Pyrotechnic Device

AU - Cheng, Li

AU - Yang, Yuanyuan

AU - Mu, Huina

AU - Yang, Xiaoyu

AU - Li, Li

AU - Wen, Yuquan

PY - 2019/10/1

Y1 - 2019/10/1

N2 - On the basis of the Bayesian principle, a method of selecting the double beta distribution as a priori distribution is proposed for the system reliability evaluation when the available field test samples are small for pyrotechnic device. Under the condition of different field and historical data, the mean square error (MSE) and coverage ratio (CR) of the reliability evaluation are compared by numerical simulation when the conjugate distribution and uniform distribution are selected as the priori distribution. Finally, the rationality and engineering applicability of the proposed method are verified through an example of the reliability evaluation of a typical pyrotechnic device.

AB - On the basis of the Bayesian principle, a method of selecting the double beta distribution as a priori distribution is proposed for the system reliability evaluation when the available field test samples are small for pyrotechnic device. Under the condition of different field and historical data, the mean square error (MSE) and coverage ratio (CR) of the reliability evaluation are compared by numerical simulation when the conjugate distribution and uniform distribution are selected as the priori distribution. Finally, the rationality and engineering applicability of the proposed method are verified through an example of the reliability evaluation of a typical pyrotechnic device.

KW - A

KW - Bayesian principle

KW - TB 114

KW - double beta distribution

KW - reliability evaluation

UR - http://www.scopus.com/inward/record.url?scp=85070110210&partnerID=8YFLogxK

U2 - 10.1007/s12204-019-2102-6

DO - 10.1007/s12204-019-2102-6

M3 - Article

AN - SCOPUS:85070110210

SN - 1007-1172

VL - 24

SP - 622

EP - 627

JO - Journal of Shanghai Jiaotong University (Science)

JF - Journal of Shanghai Jiaotong University (Science)

IS - 5

ER -

Reliability Evaluation Method Based on Double Beta Prior Distribution for the Pyrotechnic Device

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