Estimation of Overall Reliability for Zero-Failure Batch Production Monitoring Instrument Based on E-Bayes Method

Abstract:

To solve the problem of the overall reliability evaluation for the specific batch high-reliability monitoring instrument, for the practical problems for zero-failure data of the high-reliability instrument, we propose the batch production instrument overall reliability evaluation method based on E-Bayes theory, and give the point estimation and interval estimation of instrument overall reliability. Case study demonstrates the rationality and feasibility of the proposed method, which provides a reference for the dam safety monitoring management.

• Periodical: Applied Mechanics and Materials (Volumes 578-579)
• Pages: 1177-1182
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.578-579.1177
• Online since: July 2014
• Authors: Wei Hua Fang*, Na Zhang
• Keywords: Batch Production, E-Bayes Theory, Overall Reliability, Strain Meter, Zero-Failure Data

References

[1] Chow S C, Shao J. Estimation drug shelf-life with random batches[J]. Biometrics, 1991, 47: 1071-1079.

DOI: 10.2307/2532659

[2] Mao Shi-song, Wang Ling-ling, Pu Xiaolong. Reliability analysis for Weibull zero failure data [J]. Chinese Journal of Applied probability, 1996, 12(1): 95-107.

[3] Wang Ling-ling, Wang Bingxing. Statistical analysis for no-failure data-Modified likelihood function method[J], Mathematical Statistics and Applied Probability, 1996, 11(1): 64-70.

[4] Han Ming. Estimation of reliability parameters in the case of zero-failure data[M]. Beijing: China Statistics Press, (2005).

[5] Han Ming. Bayesian reliability analysis of zero-failure data of a certain model engine[J]. Acta Aeronautica et Astronautica Sinica, 1999, 20(3): 216-219.

[6] Ning Jiang-fan, Yan Xiaoqing, Zhang Shifeng. Study on reliability analysis method for liquid rocket engine in the case of zero-failure data[J]. Journal of National University of Defense Technology, 2006, 28(5): 22-25.

[7] Han Ming, E-Bayes reliability analysis for liquid rocket engine with zero-failure data[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(12): 2213-2219.

[8] Mao Shisong, Luo Chaobin, Reliability analysis of zero-failure data[J]. Mathematical statistics and applied probability, 1989, 4(4): 489-506.

[9] Han Ming, Confidence limits of Reliability Parameters for Weibull distribution [J]. Journal of Mechanical Strength, 2009, 31(1): 59-62.

[10] Deng Jianhua, Wang Zhiyuan. Six-wires Measurement and Appraisal of the Embedded Differential Resistor Sensor[J]. Hydropower automation and dam monitoring, 2007, 31(6): 50-53, 78.