多目标检测与估计是多普勒雷达的基本任务。当信噪比较低时,为确保检测到目标需降低门限而产生了大量虚警,基于数据的多假设跟踪(Multi-Hypothesis Tracking,MHT)和联合概率数据关联(Joint Probabilistic Data Association,JPDA)方法因...多目标检测与估计是多普勒雷达的基本任务。当信噪比较低时,为确保检测到目标需降低门限而产生了大量虚警,基于数据的多假设跟踪(Multi-Hypothesis Tracking,MHT)和联合概率数据关联(Joint Probabilistic Data Association,JPDA)方法因计算复杂度过高而失效,基于原始信号的随机有限集(Random Finite Set,RFS)滤波器可有效解决该问题。多普勒雷达回波信号以叠加的方式受到多个目标影响,其多目标检测与估计问题属于叠加式传感器的典型应用。本文在叠加式多伯努利(Multi-Bernoulli,MBR)滤波器基础上利用具有准确势估计的独立同分布群(Independent and Identically Distributed Cluster,IIDC)RFS对新生目标建模,并采用辅助粒子滤波器(Auxiliary Particle Filter,APF)实现了多目标联合检测与状态估计。仿真结果表明,混合MBR和集势概率假设密度(Cardinalized Probability Hypothesis Density,CPHD)滤波器对多普勒雷达多目标的检测估计性能优于MBR滤波器,且减小了计算复杂度。展开更多
In this paper, for the generalized linear models （GLMs） with diverging number of covariates, the asymptotic properties of maximum quasi-likelihood estimators （MQLEs） under some regular conditions are developed. Th...In this paper, for the generalized linear models （GLMs） with diverging number of covariates, the asymptotic properties of maximum quasi-likelihood estimators （MQLEs） under some regular conditions are developed. The existence, weak convergence and the rate of convergence and asymptotic normality of linear combination of MQLEs and asymptotic distribution of single linear hypothesis teststatistics are presented. The results are illustrated by Monte-Carlo simulations.展开更多
基金supported by Major Programm of Natural Science Foundation of China under Grant No.71690242the Natural Science Foundation of China under Grant No.11471252the National Social Science Fund of China under Grant No.18BTJ040
文摘In this paper, for the generalized linear models （GLMs） with diverging number of covariates, the asymptotic properties of maximum quasi-likelihood estimators （MQLEs） under some regular conditions are developed. The existence, weak convergence and the rate of convergence and asymptotic normality of linear combination of MQLEs and asymptotic distribution of single linear hypothesis teststatistics are presented. The results are illustrated by Monte-Carlo simulations.
