最优的核判别分析用于雷达目标识别

特征提取是雷达目标识别研究中的重要问题,有效、稳健的特征是提高识别率的关键。核判别分析(KDA)是一种抽取非线性特征的有效方法,但它会因为奇异性问题而难以求解。基于子空间投影的思想,给出一种最优的核判别分析(OKDA)方法,用于对雷达目标的距离像进行特征提取,然后采用基于核的非线性分类器对所提取的特征进行分类,实现对雷达目标的识别。分别对仿真和实测距离像进行实验,结果表明该方法具有较好的识别效果。     

基于非线性映射的城市化水平聚类分析

采用非线性映射分析方法对区域城市化水平进行了聚类分析.结果表明,非线性映射方法通过对高维样本进行降维处理,使不同城市化水平等级的城市得以清晰地划分,结果直观形象地显示在二维平面中,从而实现了水平近似城市的聚类,克服了以往系统聚类分析法所得结果不够直观、存在虚假归并等问题,为城市化水平的定量判定提供了一种新方法.     

非线性波动方程的孤波解及余弦周期波解

利用假设待定法,求出了非线性波动方程的具有双曲正割函数分式形式且渐近值不为零的精确孤波解和余弦函数周期波解,并分别讨论了它们的有界性,揭示了行波波速改变对钟状孤波解与余弦函数周期波解波形变化的影响.     

一阶非线性常微分方程可积类型的推广

文中提出新的四类非线性常微分方程，借助某些方法与技巧，论证了这几类方程可用积分法求解，获得的结论推广了文献中相应的结果。     

Earnings and Consumption Dynamics: A Nonlinear Panel Data Framework

We develop a new quantile‐based panel data framework to study the nature of income persistence and the transmission of income shocks to consumption. Log‐earnings are the sum of a general Markovian persistent component and a transitory innovation. The persistence of past shocks to earnings is allowed to vary according to the size and sign of the current shock. Consumption is modeled as an age‐dependent nonlinear function of assets, unobservable tastes, and the two earnings components. We establish the nonparametric identification of the nonlinear earnings process and of the consumption policy rule. Exploiting the enhanced consumption and asset data in recent waves of the Panel Study of Income Dynamics, we find that the earnings process features nonlinear persistence and conditional skewness. We confirm these results using population register data from Norway. We then show that the impact of earnings shocks varies substantially across earnings histories, and that this nonlinearity drives heterogeneous consumption responses. The framework provides new empirical measures of partial insurance in which the transmission of income shocks to consumption varies systematically with assets, the level of the shock, and the history of past shocks.     

正交优化法的软件设计及其应用

本文用BASIC语言编制了正交优化法软件，并通过实例对其应用进行探讨，研究结果表明：用正交优化法处理化学、环保等方面的非线性模型的参数估值和非线性回归问题是非常有效的。     

SOME SECOND ORDER ASYMPTOTICS IN EXPONENTIAL FAMILY NON-LINEAR REGRESSION MODELS (A GEOMETRIC APPROACH)

The differential geometric framework of Amari (1982a, 1985) is applied to the study of some second order asymptotics related to the curvatures for exponential family nonlinear regression models, in which the observations are independent but not necessarily identically distributed. This paper presents a set of reasonable regularity conditions which are needed to study asymptotics from a geometric point of view in regression models. A new stochastic expansion of a first order efficient estimator is derived and used to study several asymptotic problems related to Fisher information in terms of curvatures. The bias and the covariance of the first order efficient estimator are also calculated according to the expansion.     

A new estimation procedure for a partially nonlinear model via a mixed‐effects approach

The authors consider the estimation of the parametric component of a partially nonlinear semiparametric regression model whose nonparametric component is viewed as a nuisance parameter. They show how estimation can proceed through a nonlinear mixed‐effects model approach. They prove that under certain regularity conditions, the proposed estimate is consistent and asymptotically Gaussian. They investigate its finite‐sample properties through simulations and illustrate its use with data on the relation between the photosynthetically active radiation and the net ecosystem‐atmosphere exchange of carbon dioxide.     

城市化发展中的人口与经济增长

基于非线性理论,针对人口增长和经济发展中的非线性现象,根据城市化发展中的人口和经济这两个主要因子的制约关系,建立了人口-经济模型,并对其进行了运动稳定性和动力学特性的分析。人口-经济模型的建立,可为城市化发展中的人口与经济增长问题提供定量分析的依据。     

关于两类二阶非线性系统的全局渐近稳定性

本文讨论了两类二阶非线性系统的零解的全局渐近稳定性，得到了一组充分条件．