The crystallization of a paranoid symptom: Three theories

The dynamics of paranoia are complex. The cognitive and behavioral patterns of paranoia are well documented in the clinical literature. However, writings on the etiology of paranoia are sparse. Sigmund Freud, Melanie Klein, and William W. Meissner are the three most comprehensive and recognized theorists on the etiology and psychodynamic functions of paranoia. Their theories are delineated and applied to a clinical vignette of a woman with a recently developed paranoid symptom.     

Quasi-universal bandwidth selection for kernel density estimators

Let f?_n, h denote the kernel density estimate based on a sample of size n drawn from an unknown density f. Using techniques from L₂ projection density estimators, the author shows how to construct a data-driven estimator f?_n, h which satisfies This paper is inspired by work of Stone (1984), Devroye and Lugosi (1996) and Birge and Massart (1997).     

人口预测在区域规划中的重要作用——以加拿大大黄金马蹄形片区为例

加拿大安大略省未来30年人口自然增长极其缓慢且老龄化严重,国际移民是人口增长的主要动因,且居住选择青睐于基础较好的大多伦多一带。在人口预测基础上,安省确定以多伦多向西南拓展的大黄金马蹄形地区为未来重点增长区,首次使用立法程序制订了专门的《区域规划法》,确定了科学的指导思想及基础设施、行业发展及环境保护专项规划。这对我国加强长期人口预测分析,坚持其在区域规划的基础性作用及两者的互动衔接,制定科学的区域规划,运用行政、经济、特别是法律手段保证实施等,具有一定的启示和借鉴意义。     

A study of uniformity pattern for extended designs

The objective of this paper is to investigate the issue of projection discrepancy for extended U-type or nearly U-type extended designs along the line of Fang and Qin (2005 Fang, K. T., and H. Qin. 2005. Uniformity pattern and related criteria for two-level factorials. Science China Series A 48:1–11.[Crossref] , [Google Scholar]) based on the centered L₂-discrepancy proposed in Hickernell (1998 Hickernell, F. J. 1998. A generalized discrepancy and quadrature error bound. Mathematics of Computation 67:299–322.[Crossref], [Web of Science ®] , [Google Scholar]). Extended designs are obtained through augmenting optimally few runs (or points) to an optimal U-type design. Lower bounds to projection discrepancy with reference to the centered L₂-discrepancy of extended designs have been obtained. Some illustrative examples are also provided.     

未来全国和不同区域人口城镇化水平预测

城镇化将是我国未来几十年社会经济发展的动力之一。从人口学的角度讲,在加速城镇化过程中,人口三大因素,即出生、死亡、迁移的变化中,人口城乡迁移将是核心问题。本文在城镇化发展的中方案假设下,利用ⅡASA的模型对全国和地区未来30年人口城镇化水平进行预测。结果显示了全国和不同区域的城镇化长期趋势;揭示了城乡间的迁移和农村居民身份的改变,是城镇地区人口高速增长的重要因素。伴随城镇化的加速,农村地区人口老龄化速度快于城市。     

动态多指标决策问题的投影寻踪模型

针对动态多指标决策中指标和时段的权重确定问题,提出了基于投影寻踪(PP)的理想点法新模型(PP-IPM模型)。该模型利用决策矩阵样本的内部信息,把方案的三维决策矩阵综合成一维投影值,投影值越大表示该方案越优,根据投影值的大小就可对各方案进行综合排序决策。建议用实码加速遗传算法进行PP-IPM的建模,简化了PP技术的实现过程,克服了目前PP技术计算过程复杂、编程实现困难的缺点。实例计算的结果说明,直接由决策矩阵样本数据驱动的PP-IPM模型用于动态多指标决策问题简便可行,适用性和可操作性强,具有推广应用价值。     

动态用户最优配流问题的投影算法研究

本文首先建立了动态用户最优配流问题的变分不等式模型,并对此模型用投影算法来求解.本文中的模型满足Wordrop第一原理要求,所给算法在每一个小时段都能给出路段流入率、流出率及路段流量,从而为行人出行提供可靠的、实时的信息,所给数值实验也说明该模型和算法是可行且有效的.     

Two-dimensional projection uniformity for space-filling designs

We investigate a space-filling criterion based on $L_2$-type discrepancies, namely the uniform projection criterion, aiming at improving designs' two-dimensional projection uniformity. Under a general reproducing kernel, we establish a formula for the uniform projection criterion function, which builds a connection between rows and columns of the design. For the commonly used discrepancies, we further use this formula to represent the two-dimensional projection uniformity in terms of the $L_p$-distances of U-type designs. These results generalize existing works and reveal new links between the two seemingly unrelated criteria of projection uniformity and the maximin $L_p$-distance for U-type designs. We also apply the obtained results to study several families of space-filling designs with appealing projection uniformity. Because of good projected space-filling properties, these designs are well adapted for computer experiments, especially for the case where not all the input factors are active.