This paper deals with a direct derivation of Fisher’s information matrix for bivariate Bessel distribution of type I. Some tools for the numerical computation and some tabulations of the Fisher’s information matrix ...This paper deals with a direct derivation of Fisher’s information matrix for bivariate Bessel distribution of type I. Some tools for the numerical computation and some tabulations of the Fisher’s information matrix are provided.展开更多
The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional ...The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index.展开更多
考虑到在复杂战场下,传感器部署对敌我双方的态势感知有较大影响,针对使用多信号接收强度传感器对三维目标感知时的传感器最优部署问题,采用费舍尔信息矩阵(Fisher Information Matrix,FIM)的行列式作为最优性能指标,给出了多传感器执...考虑到在复杂战场下,传感器部署对敌我双方的态势感知有较大影响,针对使用多信号接收强度传感器对三维目标感知时的传感器最优部署问题,采用费舍尔信息矩阵(Fisher Information Matrix,FIM)的行列式作为最优性能指标,给出了多传感器执行单目标感知任务时的最优部署几何构型.进一步导出了多传感器在三维情形下的FIM行列式的显式表达.基于该显式表达,得到多目标感知的传感器最优分配以及传感器最优部署几何构型.该方法实现了对敌方目标的精确感知,弥补了因感知误差导致的对战场形势的误判.数值仿真验证了结果的有效性.展开更多
The paper is concerned with the basic properties of multivariate extreme value distribution (in the Logistic model). We obtain the characteristic function and recurrence formula of the density function. The explicit a...The paper is concerned with the basic properties of multivariate extreme value distribution (in the Logistic model). We obtain the characteristic function and recurrence formula of the density function. The explicit algebraic formula for Fisher information matrix is indicated. A simple and accurate procedure for generating random vector from multivariate extreme value distribution is presented.展开更多
文摘This paper deals with a direct derivation of Fisher’s information matrix for bivariate Bessel distribution of type I. Some tools for the numerical computation and some tabulations of the Fisher’s information matrix are provided.
基金Supported by NSFC (10771101)NVAA Research Funding (NS2010197)
文摘The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index.
文摘考虑到在复杂战场下,传感器部署对敌我双方的态势感知有较大影响,针对使用多信号接收强度传感器对三维目标感知时的传感器最优部署问题,采用费舍尔信息矩阵(Fisher Information Matrix,FIM)的行列式作为最优性能指标,给出了多传感器执行单目标感知任务时的最优部署几何构型.进一步导出了多传感器在三维情形下的FIM行列式的显式表达.基于该显式表达,得到多目标感知的传感器最优分配以及传感器最优部署几何构型.该方法实现了对敌方目标的精确感知,弥补了因感知误差导致的对战场形势的误判.数值仿真验证了结果的有效性.
文摘The paper is concerned with the basic properties of multivariate extreme value distribution (in the Logistic model). We obtain the characteristic function and recurrence formula of the density function. The explicit algebraic formula for Fisher information matrix is indicated. A simple and accurate procedure for generating random vector from multivariate extreme value distribution is presented.
