简并能级的三阶微扰修正

讨论了简并能级的三阶微扰修正问题,给出了一阶修正和二阶修正简并部分解除情况下的三阶能量修正,也讨论了一阶修正简并未完全解除时的三阶能量修正.     

关于n维射影空间的配极对应的一点注记

本文论述了 n 维射影空间中线性子空间关于二阶超曲面配极对应的性质,提出了构造自极超n 1面体的具体方法,从而可把非退化二阶超曲面方程化为标准形式.     

关于模糊向量组的线性关系及模糊子空间的性质

本文在[l]的基础上给出了一个模糊向量组线性相关的充要条件及几个推论,且以定理的形式给出了模糊子空间的若干性质。     

Sufficient dimension reduction through informative predictor subspace

The purpose of this paper is to define the central informative predictor subspace to contain the central subspace and to develop methods for estimating the former subspace. Potential advantages of the proposed methods are no requirements of linearity, constant variance and coverage conditions in methodological developments. Therefore, the central informative predictor subspace gives us the benefit of restoring the central subspace exhaustively despite failing the conditions. Numerical studies confirm the theories, and real data analyses are presented.     

Rural Credit Innovation:Experience of China

This paper is based on literature and interviews with the management of a leading agricultural firm which has developed a new credit rural practice.It uses the case study to generalize a new model of rural credit practice.It provides the government with an example on how to help solve rural credit problems and poverty reduction.It also provides the banking industry with a new profit-making model,which benefits farmers at the same time as well.     

关于Perron-Frobenius定理的两个推论

根据Perron-Frobenius定理论证两个推论以及若干结果,反映了不可约非负矩阵模等于谱半径的特征值对应的特征子空间之间的关系,对相关结论略有推广.     

OFDM信道估计的子空间方法

介绍了OFDM信道盲估计的子空间方法及其研究现状,并对文献[6]的算法按照WLAN802.11a的符号格式在存在虚载波及导频的情况下进行了性能仿真,研究了要达到一定的精度,算法应选取的包长及算法对信道SNR的要求。仿真结果表明导频格式会影响算法的收敛,但通过加入不相关的导频,能保证算法的收敛。     

NON-PARAMETRIC ESTIMATION OF DIRECTION IN SINGLE-INDEX MODELS WITH CATEGORICAL PREDICTORS

This paper proposes a general dimension‐reduction method targeting the partial central subspace recently introduced by Chiaromonte, Cook & Li. The dependence need not be confined to particular conditional moments, nor are restrictions placed on the predictors that are necessary for methods like partial sliced inverse regression. The paper focuses on a partially linear single‐index model. However, the underlying idea is applicable more generally. Illustrative examples are presented.     

China Regional Income Convergence:Using Spatial Panel data

This paper uses spatial panel data models to analyze regional growth in China.Controlling for fixed-effects allows us to disentangle the effect of spatial dependence from that of spatial heterogeneity and omitted variable to investigate the regional convergence process within the country.