本文用凸函数构造了线性次序统计量和线性秩统计量,并证明了它们的渐近正态性。
In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.
线性次序统计量和线性秩统计量是数理统计中两类很重要的统计量,在应用上经常使用,很多形式的统计量都是属于这两类统计量。
Linear order statistic and linear rank statistic are two kinds of important statistics in the mathematical statistics. They are used widely and a lot of the other statistics belonging to them.
本文提出一种用最大秩逆矩阵诊断线性模拟电路故障的新方法。
A novel method is proposed for fault diagnosis of linearly nonreciprocal analog circuits.
给出了两两互素多项式下线性变换的核的直和分解,并应用于幂等矩阵(对合矩阵)的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定,归纳出六种判定向量组线性相关性的方法。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
讨论设计矩阵列降秩时,线性回归模型的影响分析。
The influence of linear model with deficient - rank is discussed.
本文给出了化不含平方项的两类特殊二次型为标准形的一种直接选取满秩线性变换法。
The paper teus a direct way to select nonsingular linear transformation by changing two special quadratic forms without square terms to the standard form.
利用齐次线性方程组解的理论讨论矩阵的秩,给出几个关于矩阵秩的著名不等式的证明,并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
线性回归模型的误差项不服从正态分布或存在多个离群点时,可以将残差秩次的某些函数作为权重引入估计模型来减少离群点的不良影响。
When multiple outliers occur in linear regression model or the distribution of residuals is not normal, we can use residuals rank as weight function to get some resist estimator.
线性算子为紧线性算子必须且仅须它可由一列有限秩连续齐性算子一致逼近。
It follows that a linear operator is a compact linear operator iff it an be approximated uniformly by a sequence of finite rank continuous homogeneous operators.
本文对降秩多元线性模型的参数阵提出了一类有偏线性估计,讨论了许多重要的性质,从而把降秩模型中参数阵的估计问题转化为满秩模型中参数阵的估计问题。
In this paper we define a class of biased linear estimators for the parameter matrix in the multivariate linear model with deficient rank and discuss some important properties.
为了确定多重线性回归模型中回归系数矩阵的秩,本文提出了一个基于M估计的模型选择程序,且在较弱的条件下建立了回归系数矩阵的秩的估计的强相合性。
To determine the rank of regression coefficient matrix in a multivariate linear regression model, a model selection procedure is proposed based on the M-estimation.
利用齐次线性方程组解的理论讨论矩阵的秩,给出几个关于矩阵秩的著名不等式的证明,并证明了两个命题。
The judgment theorems for locating correctness were concluded by skillfully combining the solutions of homogenous linear equations with locating schemes.
研究了任意秩多元线性模型中最优线性无偏预测的稳健性,即对任一线性可预测变量,得到了其关于协方差矩阵具有稳健性的充要条件。
The conditional optimal prediction of the conditional predictable variable in the multivariate linear model with arbitrary rank and linear equality constrains was investigated.
字典定义失明为“没有视觉”,但是失明实际分为很多级别。我们把这个矩阵的秩定义为它所包含的线性无关行的数目。
Dictionaries define blindness as "being without the sense of sign, " but there are many degrees of blindness.
字典定义失明为“没有视觉”,但是失明实际分为很多级别。我们把这个矩阵的秩定义为它所包含的线性无关行的数目。
Dictionaries define blindness as "being without the sense of sign, " but there are many degrees of blindness.
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