Abstract
The method and effects of extracting information from different fatigue test data were analyzed and compared according to the test data in engineering in this paper. By probability statistical analysis, the life data of ignored censored data were collected and analyzed to fit the distribution types and P–S–N curves. Otherwise, the life data including censored data were estimated by maximum likelihood estimation and K–S test. It is shown that the practice of simply ignoring censored data will underestimate the fatigue performance of the test sample in different degrees after analysis and comparison of the two results. Therefore, according to different types of test data, the influence of censored data should be considered fully in order to select the appropriate treatment method. Censored data in engineering usually should not be ignored.
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References
J. Cao, K. Cheng, Reliability Mathematics Theory (Science Press Co., Ltd, Beijing, 1986)
W.Q. Meeker, L.A. Escobar, Statistical Methods for Reliability Data (Wiley, New York, 1998)
N. Balakrishnan, P.S. Chan, Order statistics from extreme value distribution: Ñ-table of means, variances and covariances. Commun. Stat. Simul. Comput. 21(4), 1199–1217 (1992)
R.S. Parrish, Computing expected values of normal order statistics. Commun. Stat. Simul. Comput. 21(1), 57–70 (1992)
Q.H. Wang, B.Y. Jing, Empirical likelihood for a class of functionals of survival distribution with censored data. Ann. Inst. Stat. Math. 53(3), 517–527 (2001)
J.G. Stute, Almost sure representations of the product-limit estimator for truncated data. Ann. Stat. 21, 146–156 (1993)
W. Huang, H. FU, Linear regression analysis method for censored data. J. Aerosp. Power 18(4), 465–469 (2003)
J.G. Stute, Almost sure representations of the product-limit estimator for truncated data. Ann. Stat. 21, 146–156 (1993)
J.F. Lawless, Statistical Models and Methods for Lifetime Data (Wiley, New York, 1982)
W.D. Wang, New study on MLE for censored lifetime data, in Proceedings Annual Reliability and Maintainability Symposium, Virginia, USA (2005), pp. 308–312
H. Li, Z. Zhang, Y. Hu, Maximum likelihood estimation of Weibull distribution based on random censored data and its application. Struct. Environ. Eng. 36(4), 60–64 (2009)
J. Chen, On the consistency of maximum likelihood estimators based on randomly censored data in the Weibull distribution case. Chin. J. Appl. Probab. Stat. 5(3), 226–233 (1989)
J. Yang, Y. Erhua, Consistency and asymptotic normality of MLE of the parameters of Weibull distribution for random censoring model with incomplete information. Chin. J. Appl. Probab. Stat. 16(1), 9–19 (2000)
S.G. Martindale, P.H. Wirsching, Reliability-based progressive fatigue collapse[J]. J. Struct. Eng. ASCE 109(8), 1792–1811 (1983)
S. Sergey, K. Roman, Probability method for the analysis of widespread fatigue damage in structures. Int. J. Fatigue 27, 223–234 (2005)
X.I.E. Liyang, L.I.U. Jianzhong, Principle of sample polymerization and method of P-S-N curve fitting. Mech. Eng. 49(15), 96–104 (2013)
F.U. Huimin, L.I.U. Chengrui, Small sample test method for S-N and P-S-N curves. J. Mech. Strength 28(4), 552–555 (2006)
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Ma, Y., Xie, L. Study on Processing Method and Engineering Application of Censored Data. J Fail. Anal. and Preven. 17, 354–362 (2017). https://doi.org/10.1007/s11668-017-0251-1
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DOI: https://doi.org/10.1007/s11668-017-0251-1