摘要:In this article, we study the problem on GMM estimators. By using the strong limit condition, we obtain the result that the generalized method of moments obeys the law of iterated logarithm.%本文研究了广义矩估计的性质。利用强相合性的条件,得到了广义矩估计满足重对数律的结果。
摘要:In this paper, we study strongly spirallike mappings of type β on the unit ball in complex Banach spaces. By using the definition and the geometrical characteristic of strongly spirallike mappings of type β, the growth and covering theorems for the above mappings are ob-tained. Combining zero of order k of strongly spirallike mappings of type β, the corresponding growth and covering theorems are also obtained. The results extend the corresponding results of spirallike mappings.%本文研究了复Banach空间单位球上的强β型螺形映照。利用强β型螺形映照的定义及其几何特征,获得了复Banach空间单位球上强β型螺形映照的增长和掩盖定理,并结合k阶零点得到强β型螺形映照相应的增长和掩盖定理,推广了螺型映照的相应结论。
摘要:本文研究了矩阵方程AX =B 的双对称最大秩和最小秩解问题。利用矩阵秩的方法,获得了矩阵方程AX =B有最大秩和最小秩解的充分必要条件以及解的表达式,同时对于最小秩解的解集合,得到了最佳逼近解。%In this paper, the Bisymmetric maximal and minimal rank solutions to the matrix equation AX =B and their optimal approximation are considered. By applying the matrix rank method, the necessary and sufficient conditions for the existence of the maximal and minimal rank solutions with Bisymmetric to the equation. The expressions of such solutions to this equation are also given when the solvability conditions are satisfied. In addition, in corresponding the minimal rank solution set to the equation, the explicit expression of the nearest matrix to a given matrix in the Frobenius norm has been provided.
摘要:In this paper, the superiority of the Bayes linear unbiased estimators of unknown parameters in a class of linear models is studied. By using the theory of matrix, we obtain the conditions of the Bayes linear unbiased estimators to be superior to the generalized least squares estimator under the balanced loss criterion and the MSEM criterion, respectively.%本文研究了一类线性模型中参数的Bayes 线性无偏估计的优良性。利用矩阵论的相关知识,分别在平衡损失准则和均方误差阵准则下,得到了Bayes 线性无偏估计优于广义最小二乘估计的条件。
摘要:In this paper, we mainly study some special surfaces which are not all contained in an open hemisphere. By using properties of Lr operator, we prove that for a compact r-minimal hypersurface in Sn+1, if the rank of the second fundamental form rank(hij) > r then the hypersurface can not be contained in an open hemisphere of Sn+1.%本文主要研究了不能全含于开半球中的一些特殊曲面。利用Lr 算子的相关性质,证明了对Sn+1中紧致r -极小超曲面,如果第二基本形式的秩rank(hij)>r,则其不全含在Sn+1的一个开半球中。
摘要:In this paper, we study the maximal dimension of weakly commutative spaces over algebraically closed fields of characteristic zero. By similar operations for matrices, we obtain the classification for the maximal weakly commutative spaces in the sense of conjugation and generalize Schur’s theorem.%本文研究了特征0代数闭域上弱交换空间的极大维数。利用了矩阵相似变换的方法,获得了在共轭意义下极大弱交换空间的分类结果,推广了Schur定理的结果。
摘要:In this paper, we study the weak Boundedness of the sub-linear operators and its commutators on homogeneous spaces. Based on the properties of homogeneous spaces and the boundedness of sub-linear operators with the commutators generated by BMO and Lipschitz functions on weak Lp(X), the boundedness of the sub-linear operators and its commutators on weak Morrey-Herz spaces on homogeneous spaces are proved, which extend of the boundedness of the operators on Morrey-Herz spaces on homogeneous spaces.%本文研究了一类次线性算子及其交换子在齐型空间上的弱有界性的问题。利用齐型空间的基本性质以及给出的一类次线性算子及其分别与BMO函数, Lipschitz函数生成的交换子在Lp(X)上的弱有界性,证明了其在齐型空间上Morrey-Herz空间中的弱有界性。推广了该类算子在Morrey-Herz空间中的强有界性这一结果。
摘要:In this paper, we study the growth of certain finite positive order random Dirichlet series in the right half plane. By the method of Knopp-Kojima, we prove three theorems about the type of two kinds of random Dirichlet series, which extends the research scope of the growth of certain finite order random Dirichlet series in the half plane.%本文研究了右半平面上有限正级随机Dirichlet级数的增长性。利用Knopp-Ko jima的方法,获得了两类随机Dirichlet级数关于型的三个结果,推广了半平面上有限级随机Dirichlet级数增长性的研究范围。