Reliability Estimations for Liquid Rocket Engine under Asymmetric Loss Function

Abstract:

Based on asymmetric loss function, the estimations and their properties of liquid rocket engine are discussed. The UMVUE and bayes estimator for some lifetime parameters, reliability and hazard function are obtained under entropy loss function. And we prove the estimations with the form of cT+d are admissible. At last, the statistical performances are compared through the MSE based on Monte Carlo simulation study. According to these comparisons, it is suggested that the empirical bayes estimators have high-precision.

• Periodical: Applied Mechanics and Materials (Volumes 215-216)
• Pages: 889-894
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.215-216.889
• Online since: November 2012
• Authors: Hong Bo Zhu, Zhu Kou, Qian Liu
• Keywords: Bayes Estimation, Entropy Loss Function, Liquid Rocket Engine, Uniformly Minimum Variance Unbiased Estimation (UMVUE)

References

[1] Zhou Yuanquan, Yang Shuangjin, Dun Saiying. Reliability Analys is for China LongMarch Family of Launch Vehicle[J]. MISSILE AND SPACE VEHICLES. 2002(2): 37-40.

[2] Jiang Xiangzhou, Shi Yimin, Shen Zhen. The Hierarchical Bayes Reliability Estimation for Liquid Rocket Engine with Zero-failure Data[J]. Aerospace Control. 2008,26(3): 88-91.

[3] LiFeng, ShiYimin, TianYanfang, TianYaai. The Bayes Estimation of Environmental Factor for Liquid Rocket Engine[J]. Aerospace Control. 2006,24(4): 77-96.

[4] Li Baosheng,Lei Chungang. Bayes Assessment Method for Performance Parameters of Liquid Propellant Rocket Engine[J]. CHINESE SPACE SCIENCE AND TECHNOLOGY.2005,(3): 28-34.

[5] Li Baosheng, Hao Jinghui. Bayes Lower Limit of Life-time Reliability for Liquid Propellant Rocket Engine[J]. MISSILE AND SPACE VEHICLES. 2009(4): 8-10.

[6] N. Balakrishnan, R. Aggarwala. Progressive Censoring: Theory, Methods and Applications. Birkhauser Publishers, Boston, 2000.

[7] Liu Qi. Studies on the Method of Reliability Growth Test Evaluation for Liquid Roeket Engine. Dissertation for the Doctoral Degree. Changsha: national university of defense technology, 2003, 81-83.

[8] M. Pandey, V.P. Singh, C.P.L. Srivastava, A Bayesian estimation of reliability model using the LINEX loss function, Microelectron. Reliab. 34(9) (1994) 1519–1523.

DOI: 10.1016/0026-2714(94)90461-8

[9] Chen Z Q, Wei C D, Chen Y Q. The Bayes Estimation of Burr Distribution Parameter under Entropy Loss Function[J]. Journal of Guangxi Teachers Education University(Natural Science Edition), 2007,24(3):30-34.

[10] Shi Yimin, Xu Yong, Zhou Binchang. Lectures on Modern statistical methods. Xian: Northwestern Polytechnical University Press, 2008.

[11] Mao Shisong, Wang Jinlong, Pu Xiaolong. Advanced Mathematical Statistics[M]. Beijing: High Education Press, (1998)

[12] Chen Zhiqiang, Wei Chengdong, Chen Yanqin. The Bayes Estimation of Burr Distribution Parameter under Entropy Loss Function[J]. Journal of Guangxi Teachers Education University(Natural Science Edition), 2007,24(3): 30-34.

[13] MAO Shisong. Bayes Statistics[M]. Beijing: China Statistics Press, 1999.

[14] Blyth C R. On minmax statistical decision procedures and their admissibility[J]. Ann. Math. Statist, 1951, 22:22-42.

DOI: 10.1214/aoms/1177729690