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.
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。
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.
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 regression method was used to analyse the effects of maceral and rank on morphology of coal and corresponding char.
本文用多元回归方法，分析煤岩相组分和煤阶对煤及相对应煤焦表面形态的影响。
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.
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。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
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。
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。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
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。
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.
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。
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.
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。
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.
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。
The influence of linear model with deficient - rank is discussed.
讨论设计矩阵列降秩时，线性回归模型的影响分析。
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
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.
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。
The conditional optimal prediction of the conditional predictable variable in the multivariate linear model with arbitrary rank and linear equality constrains was investigated.
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。
This thesis discusses the first-rank control theory which is applied widely, and we discuss the principle and algorithm of linear-quadratic regulator in details.
本设计针对广泛应用的最优控制理论进行论述，并对其在实践中常用的线性二次型问题的原理和算法详细阐述。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Features of application process for information technology in enterprises, including multi-rank, multi-feedback loops, and non-linear, were analyzed.
分析了企业在应用信息技术过程中表现出来的高阶性、多反馈回路和非线性等动力学系统特性。
Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
The results indicate that absorption energy is related with coal rank, especially with volatile matter form a linear relation.
计算结果表明，吸附热与煤的变质程度有关，特别是与煤的挥发分成线性负相关。
The system performance has been greatly improved when the Log-linear and Rank-SVM models in machine learning are applied to fuse a few systems to get the last results list.
为了提高系统性能，应用机器学习中的Log -linear和Rank - SVM模型提出了基于系统融合的结果链表二次调序方法。
The system performance has been greatly improved when the Log-linear and Rank-SVM models in machine learning are applied to fuse a few systems to get the last results list.
为了提高系统性能，应用机器学习中的Log -linear和Rank - SVM模型提出了基于系统融合的结果链表二次调序方法。
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