针对沥青路面摊铺离析导致路面出现早期损害和平整度衰减的问题,将摊铺路面分为多个检测道,借鉴ASTM(American Society for Testing and Materials)比对试验分析方法,视摊铺机在各检测道的摊铺行为为独立试验过程,采用无核密度仪和激光...针对沥青路面摊铺离析导致路面出现早期损害和平整度衰减的问题,将摊铺路面分为多个检测道,借鉴ASTM(American Society for Testing and Materials)比对试验分析方法,视摊铺机在各检测道的摊铺行为为独立试验过程,采用无核密度仪和激光纹理仪两种无损检测手段,通过对沥青路面内部空隙率和表面构造深度均匀性分析来评价路面横、纵向摊铺离析,在检测试验结果的分析上,引入重复性标准偏差Sr、SR和一致性统计量k、h作为评价分析手段,并运用取芯切片及结合数字图像处理的方法来分析芯样截面的面空隙率差异,能有效评价沥青路面的竖向离析。结果证明,这种评价方法很好地反映了沥青路面施工质量的均匀性,该方法切实可行。展开更多
The classical chi-squared goodness of fit test assumes the number of classes is fixed,meanwhile the test statistic has a limiting chi-square distribution under the null hypothesis.It is well known that the number of c...The classical chi-squared goodness of fit test assumes the number of classes is fixed,meanwhile the test statistic has a limiting chi-square distribution under the null hypothesis.It is well known that the number of classes varying with sample size in the test has attached more and more attention.However,in this situation,there is not theoretical results for the asymptotic property of such chi-squared test statistic.This paper proves the consistency of chi-squared test with varying number of classes under some conditions.Meanwhile,the authors also give a convergence rate of KolmogorovSimirnov distance between the test statistic and corresponding chi-square distributed random variable.In addition,a real example and simulation results validate the reasonability of theoretical result and the superiority of chi-squared test with varying number of classes.展开更多
This paper studies the consistency of the extended Kalman filter(EKF) for a kind of nonlinear systems. Based on the EKF algorithm, the authors propose the quasi-consistent EKF(QCEKF)as well as the tuning law for its p...This paper studies the consistency of the extended Kalman filter(EKF) for a kind of nonlinear systems. Based on the EKF algorithm, the authors propose the quasi-consistent EKF(QCEKF)as well as the tuning law for its parameters. The quasi-consistency of the proposed algorithm is proved.Finally, the feasibility of the algorithm is illustrated by the numerical simulation on an orbit determination example.展开更多
文摘针对沥青路面摊铺离析导致路面出现早期损害和平整度衰减的问题,将摊铺路面分为多个检测道,借鉴ASTM(American Society for Testing and Materials)比对试验分析方法,视摊铺机在各检测道的摊铺行为为独立试验过程,采用无核密度仪和激光纹理仪两种无损检测手段,通过对沥青路面内部空隙率和表面构造深度均匀性分析来评价路面横、纵向摊铺离析,在检测试验结果的分析上,引入重复性标准偏差Sr、SR和一致性统计量k、h作为评价分析手段,并运用取芯切片及结合数字图像处理的方法来分析芯样截面的面空隙率差异,能有效评价沥青路面的竖向离析。结果证明,这种评价方法很好地反映了沥青路面施工质量的均匀性,该方法切实可行。
基金supported by the Natural Science Foundation of China under Grant Nos.11071022,11028103,11231010,11471223,BCMIISthe Beijing Municipal Educational Commission Foundation under Grant Nos.KZ201410028030,KM201210028005Jishou University Subject in 2014(No:14JD035)
文摘The classical chi-squared goodness of fit test assumes the number of classes is fixed,meanwhile the test statistic has a limiting chi-square distribution under the null hypothesis.It is well known that the number of classes varying with sample size in the test has attached more and more attention.However,in this situation,there is not theoretical results for the asymptotic property of such chi-squared test statistic.This paper proves the consistency of chi-squared test with varying number of classes under some conditions.Meanwhile,the authors also give a convergence rate of KolmogorovSimirnov distance between the test statistic and corresponding chi-square distributed random variable.In addition,a real example and simulation results validate the reasonability of theoretical result and the superiority of chi-squared test with varying number of classes.
基金supported by the National Natural Science Foundation of China under Grant No.61633003-3the National Key Basic Research Program of China(973 program)under Grant No.2014CB845303
文摘This paper studies the consistency of the extended Kalman filter(EKF) for a kind of nonlinear systems. Based on the EKF algorithm, the authors propose the quasi-consistent EKF(QCEKF)as well as the tuning law for its parameters. The quasi-consistency of the proposed algorithm is proved.Finally, the feasibility of the algorithm is illustrated by the numerical simulation on an orbit determination example.
