驾驶员启动反应时间的核密度估计
Kernel Density Estimation of Driver's Start-reaction Time
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摘要: 为了准确分析驾驶员的启动反应时间, 本文采用非参数核密度估计方法对检测得到的驾驶员启动反应时间进行分布密度估计, 核函数选取高斯核, 最优窗宽由递归法求得.通过分布拟合和假设检验对比分析了核密度估计与正态分布、对数正态分布的估计效果.结果表明:非参数核密度估计驾驶员启动反应时间更加准确有效, 并且克服了分布类型事先未知的问题.通过核密度估计的密度曲线可以更加直观地看出驾驶员启动反应时间在各时间段分布水平的变化和整体分布形态.Abstract: The distribution density of the driver's start-reaction time was estimated using non-parametric kernel density to accurately analyze the driver's start-reaction time. Gaussian kernel was chosen as the kernel function and the optimal window width was obtained by the recursive method. The estimation results of kernel density were compared with the results of normal distribution and lognormal distribution by distribution fitting and hypothesis testing. The results show that the nonparametric kernel density estimation of the driver's start-reaction time is accurate and effective. The method overcomes the problems of the unknown prior distribution type. The curve of kernel density estimation is more intuitive to see the changes of driver's start-reaction time in each time period and the overall distribution pattern.