Estimation of Measurement Upper Limit in Deriving the Vibration Environmental Test Conditions by Bootstrap Method

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For deriving the vibration environmental test conditions of materiels in the limited field measured data, a bootstrap method is firstly employed to evaluate the upper tolerance limit of the vibration power spectral density (PSD). Firstly for the simulation data from the normal distribution, the bias-corrected bootstrap method and the bootstrap-t method are validated to attain the appropriate upper limits for the small sample data through comparing the evaluations with the true values. Secondly for the 10 and 90 flight measurements of some aircraft, the upper tolerance limits of vibration PSD have been estimated by the above method and the traditional computation methods of MIL-STD-810F and GJB126. The result shows the bootstrap method fits the actual vibration environment better than other two methods and it has a wide application in the determination of vibration test conditions based on the small field measure data.

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11-14

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September 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.Efron, Bootstrap methods: another look at the jackknife,The Annals of Statistics, Vol. 7 (1979), pp.1-26

DOI: 10.1214/aos/1176344552

Google Scholar

[2] B.Efron,Nonparametric estimates of standard error and confidence intervals, The Canadian Journal of Statistics,Vol.9(1981), pp.137-172

Google Scholar

[3] B.Efron, Better bootstrap confidence intervals, Journal of the American Statistical Association,Vol. 82 (1987),pp.171-200

DOI: 10.1080/01621459.1987.10478410

Google Scholar

[4] L. H. Shuang,L. Z. Zhou, Bootstrap method for confidence lower limit Estimation of population percentile and reliability in small number of test-sample,ACTA AERONAUTICA ET ASTRONAUTICA SINICA,Vol. 27 (2006),pp.789-794

Google Scholar

[5] P. Xia, J.Ping ,F. Z. Ou,Bootstrap confidence intervals for the estimation of average treatment effect on propensity score, Journal of Mathematics Research, Vol. 3 (2011),pp.52-58

Google Scholar

[6] M. K. Reddy, N. K Boiroju, R. Yerukala and M. V. Rao, Bootstrap graphical test for equality of Variances, Electronic Journal of Applied Statistical Analysis, Vol. 4 (2011),pp.184-188

Google Scholar

[7] W.O. Hughes ,T.L. Paez,Application of the bootstrap statistical method in deriving vibroacoustic specifications,NASA/TM,(2006), pp.1-18

Google Scholar