图像处理中的偏微分方程

介绍了在图像处理中用到的偏微分方程方法,主要论述了基于变分方法和水平集方法的PDE在图像恢复和图像分割中的应用,以及偏微分方程在图像处理中要解决的主要问题和发展前景.     

中国科技人力资源评价指标体系构建方法研究

通过对科技人力资源状况描述的系统分析,构建了中国科技人力资源初始评价指标体系,运用偏相关系数法和变异系数法对指标进行了筛选,并用筛选前后的指标按四个方面对31个地区进行样本聚类分析比较,说明所筛选确定的15项综合评价指标的筛选结果可靠,最终形成一套符合我国国情、科学合理的中国科技人力资源评价指标体系。     

关于可交换随机变量序列的一个重要结论

将独立同分布的结果进行了推广,得到了可交换随机变量收敛性的一个结果。     

一类高阶非线性中立型偏微分方程的振动性

研究一类高阶非线性中立型偏微分方程解的振动性，获得了所有解振动的充分判据，主要结果由一些实例加以阐明。     

Extending permutation conditional inference to unconditional ones

In this presentation we discuss the extension of permutation conditional inferences to unconditional or population ones. Within the parametric approach this extension is possible when the data set is randomly selected by well-designed sampling procedures on well-defined population distributions, provided that their nuisance parameters have boundely complete statistics in the null hypothesis or are provided with invariant statistics. When these conditions fail, especially if selection-bias procedures are used for data collection processes, in general most of the parametric inferential extensions are wrong or misleading. We will see that, since they are provided with similarity and conditional unbiasedness properties and if correctly applicable, permutation tests may extend, at least in a weak sense, conditional to unconditional inferences.     

A glimpse of the impact of pál erd#ous on probability and statistics

The title of this article notwithstanding, it is the author's aspiration here to provide a bit more than merely a glimpse of some of Erdõs's contributions per se to probability‐statistics. He hopes to have succeeded in providing a guided tour of, and whenever it has appeared feasible, an introduction to, a few selected areas that have been strongly influenced by the work of Erdõs. The author also hopes to have succeeded in facilitating a glimpse of the impact of these contributions by presenting them in their historical context.     

热力学微分关系式的处理方法

通过对热力学方程及微分关系式的研究,总结推导出了热力学微分关系式的七种处理方法,并指出了在何种情况下最适宜采用何种方法;这些方法有利于加深对热力学基本关系式的理解.     

由逐步实现共同富裕看发展的合理性

合理性是发展的关键和核心,并非一切发展都是合理的。发展不仅强调手段和方式,更应注重结果和目的。实现共同富裕是社会主义发展合理性的本质要求。发展合理性是先富与共富的辩证统一,它既合客观规律,又合崇高目的,表现为过程的合理性、结果的合理性,并在实践中逐步得到检验和验证。     

LARGE AND MODERATE DEVIATIONS PRINCIPLES FOR KERNEL ESTIMATION OF A MULTIVARIATE DENSITY AND ITS PARTIAL DERIVATIVES

This paper studies the large deviations behaviour of the kernel estimator of a probability density f, by considering the case when the kernel takes negative values. It establishes large and moderate deviations principles for the kernel estimators of the partial derivatives of f. The estimators of the derivatives exhibit a quadratic behaviour for both the large and the moderate deviations scales, whereas for the density estimator there is a classical gap between the large deviations and the moderate deviations asymptotics.     

多项式趋势曲线预测模型的研究

运用折扣最小平方法估计预测模型的参数 ,在最小平方法的基础上对误差平方和进行了指数折扣加权 ,使其总和达到最小 ,同时也解决了三点法估计参数时所面临的困难 .