A New Method for Aviation Safety Prediction Based on the Highest Density Domain in Uncertainty Environment

B. Ren, Min Liu, L. Cui, Haoran Chen, F. Wang
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Abstract

Based on the highest density domain analysis, a new algorithm is proposed to perform prediction of the aviation safety in an uncertain framework. In order to perform the prediction of the aviation safety, highest density domain (HDR) is combined with uncertainty description technique to obtain the aviation safety interval and the corresponding interval probability level in the proposed method. Firstly, the kernel density estimator is further utilized with to produce the probability distribution. Secondly, highest density regions based on the estimated probability density function have been considered, to further investigate the underlying information. Then the aviation safety interval and the corresponding interval probability level are given to complete the aviation safety prediction. Compared with the methods of traditional aviation safety causal prediction and aviation safety time series prediction, this paper considers the uncertainty properties of aviation safety more thoroughly. Discussions with the flight accident hourly rate of the US Air Force from 1991 to 1999 have evidenced the applicability and adaptability of the proposed method.
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不确定环境下基于最高密度域的航空安全预测新方法
基于最高密度域分析,提出了一种不确定框架下航空安全预测的新算法。为了对航空安全进行预测,该方法将最高密度域(HDR)与不确定性描述技术相结合,得到航空安全区间及其对应的区间概率水平。首先,进一步利用核密度估计量得到概率分布;其次,考虑基于估计概率密度函数的最高密度区域,进一步研究底层信息。然后给出航空安全区间和相应的区间概率水平,完成航空安全预测。与传统的航空安全因果预测方法和航空安全时间序列预测方法相比,本文更全面地考虑了航空安全的不确定性。与1991 ~ 1999年美国空军飞行事故小时率的讨论证明了所提出方法的适用性和适应性。
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