齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用

利用实分析技巧和权函数方法, 讨论具有齐次核的多重级数Hilbert型不等式, 得到了其取最佳常数因子的充分必要条件, 并给出其应用.     

老旧机动车淘汰更新及补贴政策的成本有效性分析——以北京市为例

以氮氧化物和PM_2.5削减量为减排效果评估指标, 以车辆残值成本、政策执行成本、燃油成本节约为社会成本指标, 借助单位减排产生的社会成本(社会成本/减排量比值), 对北京市2011年6月至2020年12月老旧机动车淘汰更新及补贴政策的实施效果进行成本有效性分析。结果表明, 研究覆盖期内, 该政策的成本有效性并非单调递减, 而是呈现阶段性和结构性特点: 在重点淘汰柴油货车时期, 政策成本有效性最佳, 在重点淘汰国III汽油车时期, 成本有效性较差, 两者氮氧化物及PM_2.5单位污染物减排成本分别相差14倍和34倍; 随着车型拓展到更高排放标准, 淘汰小型客车的成本有效性呈下降趋势, 国III和国IV排放标准的小型客车减排潜力已较为有限, 且成本有效性远低于政策早期; 淘汰重型货车的成本有效性较高, 且在部分时期存在社会成本的节约。建议后续相关政策的制定应基于成本有效性, 审慎地将排放标准更高的小型客车纳入该政策管制范围, 应更关注重型柴油货车加速淘汰的政策设计优化。     

Robustness of alternative non‐linearity tests for SETAR models

In recent years there has been a growing interest in exploiting potential forecast gains from the non‐linear structure of self‐exciting threshold autoregressive (SETAR) models. Statistical tests have been proposed in the literature to help analysts check for the presence of SETAR‐type non‐linearities in an observed time series. It is important to study the power and robustness properties of these tests since erroneous test results might lead to misspecified prediction problems. In this paper we investigate the robustness properties of several commonly used non‐linearity tests. Both the robustness with respect to outlying observations and the robustness with respect to model specification are considered. The power comparison of these testing procedures is carried out using Monte Carlo simulation. The results indicate that all of the existing tests are not robust to outliers and model misspecification. Finally, an empirical application applies the statistical tests to stock market returns of the four little dragons (Hong Kong, South Korea, Singapore and Taiwan) in East Asia. The non‐linearity tests fail to provide consistent conclusions most of the time. The results in this article stress the need for a more robust test for SETAR‐type non‐linearity in time series analysis and forecasting. Copyright © 2004 John Wiley & Sons, Ltd.     

关于Dirichlet级数的一个注记

本文对一类Ｄｉｒｉｃｈｌｅｔ级教给出了的关系，此处Ｘ（Ｘ）＝Ｘｐ（Ｘ）是实数集合Ｐ的特征函数．     

U-统计量尾概率级数的收敛性

本文对相当广泛的一类权函数和边界函数给出了U-统计量尾概率级数收敛的充分条件.     

累次极限换序的一个充分条件

本文对于二元函数的累次极限的换序给出了一致收敛这一充分条件。     

基于k-分辨-FB级数展开的多分量LFM信号分离

针对傅里叶-贝塞尔变换(FBT)难以估计和有效分离多分量LFM信号的问题,提出了一种k分辨-FB(k-FB)级数展开结合dechirp的信号分离与估计算法。在FB级数的基础上引入k分辨参数,通过理论推导,得出了信号频率与级数的关系,证明了参数估计精度与k取值正相关。通过解线频调和k-FB级数计算,实现了信号分离重构和参数估计。在不同信噪比、信号功率比和k分辨条件下对信号的分离精度进行了仿真研究,并与基于分数阶傅里叶变换(FrFT)的方法进行了对比。仿真结果验证了算法的有效性。     

流形上微分方程求解的渐近展开方法

文章陈述了流形上微分方程、渐近级数和渐近展开等概念和相关命题,然后给出了例子,用渐近展开方法求解了微分方程。     

基于多元时间序列融合的飞行动作识别方法

针对飞行动作数据随机性强与长度不一致的问题,提出通过减小动态时间规整(DTW)算法的搜索空间,并定义不同特征参数贡献度的概念,实现对飞行数据的多元时间序列融合,从而完成对战术机动动作的识别。通过引入预分类和细分类结合的方式,对动作数据进行预处理,然后根据改进的动态时间规整(WDTW)算法对待测数据进行识别。仿真实验表明,相比传统DTW算法,WDTW算法通过降低算法复杂度,识别计算时间变化明显;对核密度与精准度系数的分析表明识别准确率亦有所提高。实验结果验证了所提方法的准确性。     

Identification of the Angel -related elements in cyprinid fishes and their phylogenetic implications

Angel-related element belongs to the family of miniature inverted-repeat transposable elements (MITEs). In this paper we report the identification of an Angel- related element in the series Leuciscini of cyprinid fishes, which is located in the second intron of the growth hormone (GH) gene. We have also found that this element is absent in orthologous locus in the series Barbini of cyprinid fishes, that provides new evidence for the monophyly of the series Leuciscini. The insertion of Angel -related element into the GH gene might take place in the common ancestor of the series Leuciscini after its divergence from the series Barbini. The high sequence divergence and relatively broad species distribution of Angel-related elements implies that they might be ancient transposons which appeared about 26 million years ago.