均方收敛 meaning in English
convergence in square mean
convergence in the mean square
Examples
- Time - varying system identification methods and convergence theorems
时变多变量系统多新息投影算法的均方收敛性 - Convergence in the mean square
均方收敛 - In this paper , we give a kernel shape estimation of m ( x ) using variable bandwidth local linear refression approch , and discuss the asymptotic normality , the convergence rate of mean square and convergence rate with probability
本文对上述模型，利用变窗宽局部线性回归方法，给出了m ( x )的核形估计，并讨论了这一估计的渐近正态性、依概率收敛速度、和均方收敛速度。 - The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes . an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved , some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations , and numerical methods to nonlinear fuzzy stochastic differential equations are proposed , the conditions for stability and observability of fuzzy linear systems are derived . the kalman filter algorithms of linear fuzzy stochastic systems are brought forward
主要成果包括：提出了模糊随机变量协方差和反向协方差的概念；研究了二阶模糊随机变量的均方收敛性，并在此基础上得到了均方模糊随机分析、平稳模糊随机过程及其谱分解的若干定理；根据均方模糊随机分析理论，得到了输入为模糊随机过程的线性系统的输出输入统计特征关系方程；证明了ito型模糊随机微分方程解的存在唯一性，并给出了ito型线性模糊随机微分方程解的表达式，统计特征方程以及非线性模糊随机微分方程的数值解法；得到了模糊线性系统的稳定性和可观性条件、线性模糊随机系统统计特征方程和线性模糊随机系统的kalman滤波算法；研究了当观测值是模糊数据时，线性回归模型的建立。 - Abstract : in this paper , we give the definitions of second order moment fuzzy stochastic process and its mean square convergence , and prove the cauchy criterion of mean square convergence of second order moment fuzzy stochastic process , and discuss the properties of mean square convergence of second order momnet fuzzy stochastic process
文摘:给出二阶矩模糊随机过程及其均方收敛的定义，证明二阶矩模糊随机过程均方收敛的柯西准则，讨论二阶矩模糊随机过程均方收敛的性质。