On the complete convergence for martingale difference sequence

In this paper, we establish several generalized results on complete convergence for martingale difference sequence, which include some well-known results.     

格序置换群的左弱可迁性

引进了格序置换群的左弱 2 -可迁和左高弱可迁 ,给出了格序置换群左弱 2 -可迁的等价条件和左高弱可迁的充要条件 .     

Resampling m-Dependent Random Variables with Applications to Forecasting

Resampling methods are proposed to estimate the distributions of sums of m -dependent possibly differently distributed real-valued random variables. The random variables are allowed to have varying mean values. A non parametric resampling method based on the moving blocks bootstrap is proposed for the case in which the mean values are smoothly varying or 'asymptotically equal'. The idea is to resample blocks in pairs. It is also confirmed that a 'circular' block resampling scheme can be used in the case where the mean values are 'asymptotically equal'. A central limit resampling theorem for each of the two cases is proved. The resampling methods have a potential application to time series analysis, to distinguish between two different forecasting models. This is illustrated with an example using Swedish export prices of coated paper products.     

中国城乡弱相对贫困测算及时空演变：2012—2018

相对贫困的识别和测算是瞄准贫困人口和制定减贫政策的基础,但常用于识别相对贫困人口的比例收入法和测度相对贫困程度的FGT指数在理论基础、比例设定和贫困性质方面遭到质疑。采用基于社会融入成本理论的弱相对贫困人口识别方法,及与弱相对贫困线相适应的分层可加综合贫困指数,且考虑与现阶段我国绝对贫困线衔接性及国际标准的可比性,使用2012—2018年中国家庭追踪调查(CFPS)数据估计了中国城乡收入(消费)弱相对贫困线,并测算分析了中国城乡收入(消费)弱相对贫困程度及时空演变特征。研究表明,基于弱相对贫困线构造的综合贫困指数兼顾绝对贫困和相对贫困,可以避免传统FGT指数分别测度绝对贫困和相对贫困时动态变化趋势出现分歧的问题,可更为直观地综合评估经济增长和扶贫政策的减贫效应。无论城乡,尽管不平等导致相对贫困始终处于高位水平,但绝对贫困更大的下降幅度使得中国收入(消费)弱相对贫困程度仍呈稳健下降趋势。从社会融入成本角度出发,建议未来考虑住房成本和子女养育成本,分家庭类型进一步细化弱相对贫困标准。本研究有助于进一步分类瞄准弱相对贫困人口,监测弱相对贫困程度演变并综合评估减贫效应。     

C-半群的弱概周期性

假设在有界C-半群的概轨道()u的轨迹在Banach空间X中是弱紧的条件下,研究了C-半群的弱概周期性,得到了()Cu是弱概周期的;特别在X是自反的Banach空间的情况下,不用其假设条件也能获得同样的结论;相应获得了有界C-半群点的弱概周期。     

目标流形为Heisenberg群映射的紧性问题

设W1,p(Ω,Rn)表示由目标流形为Heisenberg群映射构成的Sobolev空间,通常W1,p(Ω,Rn)没有紧性.研究W1,p(Ω,Rn)的弱紧性,首先在W1,p(Ω,Rn)中建立准范数,并证明准范数的存在性;其次证明在此准范数意义下W1,p(Ω,Rn)中的一致有界序列具有弱紧性.     

与四元数矩阵迹有关的几个弱控制不等式

证明了几个与四元数矩阵迹有关的弱控制不等式,推广、改进了有关文献的相应结果.     

关于Lau集的性质

本文给出了Lau集Ω(C)的一个特征,由此我们证明了当C相对弱紧时,Lau集是G_8型集,另外,我们证明了在非自反或非Kadec空间中存在有界闭集C使得Ω(C)-D(C)非空.     

Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

In this article, we study the complete convergence for sequences of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. We also investigate that some related results for coordinatewise negatively associated random vectors in Huan, Quang, and Thuan (2014 Huan, N. V., N. V. Quang, and N. T. Thuan. 2014. Baum–Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces. Acta Mathematica Hungarica 144(1):132–419.[Crossref], [Web of Science ®] , [Google Scholar]) still hold under this concept.