SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES

In this paper the authors study the complete, weak and almost sure convergence for weighted sums of NOD random variables and obtain some new limit theorems for weighted sums of NOD random variables, which extend the corresponding theorems of Stout [1], Thrum [2] and Hu et al. [3].

On the Strong Laws for Weighted Sums of m-negatively Asso ciated Random Variables

In this article, the author establishes the strong laws for linear statistics that are weighted sums of a m-negatively associated(m-NA) random sample. The obtained results extend and improve the result of Qiu and Yang in [1] to m-NA random variables.

Strong Laws of Large Numbers for Weighted Sums of Ч-mixing Sequence

In this paper, strong laws of large numbers for weighted sums of ■-mixing sequence are investigated. Our results extend the corresponding results for negatively associated sequence to the case of ■-mixing sequence.

Almost Sure Convergence and Complete Convergence for the Weighted Sums of Martingale Differences

Let {(D n, FFFn),n/->1} be a sequence of martingale differences and {a ni, 1≤i≤n,n≥1} be an array of real constants. Almost sure convergence for the row sums ?i = 1n ani D1\sum\limits_{i = 1}^n {a_{ni} D_1 } are discussed. We also discuss complete convergence for the moving average processes underB-valued martingale differences assumption.

Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Extended Negatively Dependent Random Variables

By using Rosenthal type moment inequality for extended negatively de- pendent random variables, we establish the equivalent conditions of complete convergence for weighted sums of sequences of extended negatively dependent random variables under more general conditions. These results complement and improve the corresponding results obtained by Li et al. （Li D L, RAO M B, Jiang T F, Wang X C. Complete convergence and almost sure convergence of weighted sums of random variables. J. Theoret. Probab., 1995, 8： 49-76） and Liang （Liang H Y. Complete convergence for weighted sums of negatively associated random variables. Statist. Probab. Lett., 2000, 48： 317-325）.

On complete convergence for Stout's type weighted sums of NOD sequence

In this paper, the complete convergence for the weighted sums of independent and identically distributed random variables in Stout [9] is improved and extended under NOD setup.The more optimal moment condition is given. The main results also hold for END sequence.

W eighted sum based method on the optimal weights for weapon evaluation

In order to solve instability problem of calculation precision resulting from the selection of each target weight in evaluating weapon systems, a weighted sum based method is proposed. Specif- ically, the subjective weights depending on experts＇ experience are substituted by the optimal weights. The optimal weights are acquired through constructing a mathematical programming model based on subjective weights and objective weights. The method of solving subjective weights is the same as before, and the objective weights were solved by means of grey theory. The case analysis shows that the method of improved weighted sum can improve the evaluation precision up to more than 5% , and minimize the instability of calculation precision resulting from only using subjective weights. The method that the optimal weights substituted the subjective weights is brought forward in improving evaluation precision for the first time. The ideas of the optimal weights and the pro- posed method are described and analyzed.

ON ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF RANDOM ELEMENT SEQUENCES

We mainly study the almost sure limiting behavior of weighted sums of the form ∑ni=1 aiXi/bn , where {Xn, n ≥ 1} is an arbitrary Banach space valued random element sequence or Banach space valued martingale difference sequence and {an, n ≥ 1} and {bn,n ≥ 1} are two sequences of positive constants. Some new strong laws of large numbers for such weighted sums are proved under mild conditions.

Almost Sure Convergence of Weighted Sums of NA Sequences

For double arrays of constants {a ni, 1≤i≤k n, n≥1} and NA r.v. 's {X n, n≥1}, conditions for almost sure convergence of are given. Both casesk n ↑ ∞ andk n=∞ are treated. A Marcinkiewicz-type theorem for i. d. NA sequences is obtained as a special case.

Complete Convergence of Weighted Sums for Arrays of Rowwise m-negatively Associated Random Variables

In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables are established. These results generalize and complement some known conclusions.

An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences

In this paper, we prove an almost sure central limit theorem for weighted sums of mixing sequences of random variables without stationary assumptions. We no longer restrict to logarithmic averages, but allow rather arbitrary weight sequences. This extends the earlier work on mixing random variables

On the Limiting Behavior of Weighted Partial Sums for B Valued Martingale Difference Sequences

Let {Xn, n≥1} be a martingale difference sequence and {a nk , 1?k?n,n?1} an array of constant real numbers. The limiting behavior of weighted partial sums ∑ k=1 n a nk X k is investigated and some new results are obtained.

Complete Convergence for Weighted Sums of φ-mixing Sequence

In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution.

Complete Convergence for Weighted Sums of WOD Random Variables

In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables.

Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences

For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtain the complete convergence rates. Our results extend some known ones.

A Precise Asymptotic Behaviour of the Large Deviation Probabilities for Weighted Sums

Let {Xn, n ≥ 1} be a sequence of independent and identically distributed positive valued random variables with a common distribution function F. When F belongs to the domain of partial attraction of a semi stable law with index α, 0 < α < 1, an asymptotic behavior of the large deviation probabilities with respect to properly normalized weighted sums have been studied and in support of this we obtained Chover’s form of law of iterated logarithm.

可重构智能表面辅助双功能雷达通信系统的联合波束优化

双功能雷达通信系统(DFRC)是有效解决未来网络频谱资源拥挤问题的理想技术之一,该文引入了可重构智能表面(RIS)技术,旨在提升用户的加权和速率和系统的探测性能。首先在雷达功率约束和可重构智能表面的恒定模约束以及通信的整体功率预算下,构建了通信用户的加权和速率和系统探测性能最大化的优化模型。通过联合优化基站的主动波束和可重构智能表面的无源被动波束形成,该文设计了一种有效的基于加权最小均方误差、分式规划和流形优化的交替优化算法,将非凸优化问题转化为两个子问题并利用迭代进行求解。仿真结果表明,所提方案对解决该问题的有效性和对用户加权和速率在较低迭代次数下达到收敛,并且可使用户的加权和速率上限提升0.86 bit/(s·Hz)和使系统探测更具方向性。

基于视觉信息加工的草原公路行车安全性分析

为探究草原公路各典型行车环境驾驶人视觉信息加工模式的差异性,从视觉层面解析草原公路行车安全,基于眼动仪开展草原公路实车实验,提取驾驶人在自由行驶、跟驰、对向来车、后车切入、路侧风险、交叉口6种真实行车环境下的眼动数据。首先,从视觉分配和视觉搜索两个维度构建评价指标体系,采用动态聚类法将驾驶人的视觉兴趣区域划分为5类,将信息熵与马尔可夫链平稳分布理论结合,构建视点分布信息熵量化驾驶人视觉注意分配的复杂度,并引入扫视幅度、扫视速度分析驾驶人对视觉信息的搜索过程。最后,构建基于CRITIC法的加权秩和比评价模型,对不同行车环境下驾驶人的视觉信息加工强度进行了综合评价。结果显示:驾驶人的视点分布在不同行车环境中存在差异,但当前车道始终是驾驶人获取视觉信息的主视区;各视觉评价指标随行车环境的变化呈显著的统计学差异;驾驶人遇到路侧风险时的视觉信息加工强度最大,行车安全性相对更低。

辽宁省农村三产融合综合评价研究

农村一二三产融合是实现乡村振兴和农业农村现代化的重要手段,有利于农村经济的高质量发展.辽宁省农村一二三产融合在空间上分布不均衡,运用熵权法和秩和比综合评价法研究农村三产融合综合水平,对于辽宁省三产融合高质量发展具有理论与现实意义.首先分析了辽宁省2012—2021年农村三产融合水平的时序变化,然后以2021年为例对辽宁省14地市农村三产融合水平的空间差异进行研究.结果表明:从时间特征来看,辽宁省2012—2021年农村一二三产融合综合水平总体呈上升趋势,受2016年中国经济呈现的放缓态势的影响,2016年融合水平出现明显下降;从空间特征来看,2021年辽宁省农村一二三产融合综合水平各地存在空间差异,其中大连排名第一,沈阳次之,抚顺、营口、辽阳排名靠后,前后存在较大差距.采用障碍度模型计算障碍因子,各地应立足自身优势,弥补不足,关注生产效率和产业链延伸的同时更要注重社会效益和绿色可持续发展,推进辽宁农村三产业融合整体发展.

某矿区居民混合金属暴露与早期肾功能损害相关性

为揭示某矿区居民镉、铜、锰、钼、铬、铝、钴、钒、铅、砷、锌、镍12种金属暴露现状,进而分析混合金属暴露与早期肾功能损害指标尿β2-微球蛋白(β2-MG)和N-乙酰-β-D-氨基葡萄糖苷酶(NAG)之间的关联,按照分层整群抽样选取矿区636名居民为研究对象,使用ICP-MS检测研究对象尿金属浓度,分别使用胶乳免疫比浊法和比色法测定研究对象尿β2-MG和NAG水平,然后并使用加权量化和回(WQS回归)模型评估混合金属暴露对尿β2-MG和NAG的综合效应与单个金属的权重.结果显示,尿液金属水平分布差异较大的是镉、钼、铜、铝、锌、钒;尿β2-MG分布范围为0.19(0.14,0.29)mg/L;尿NAG分布范围在7.00(3.30,11.90)U/L;WQS回归结果显示金属WQS指数与尿β2-MG异常风险增加、尿NAG异常风险降低有关.使尿β2-MG异常风险增加的金属WQS指数权重最高的是铜(0.493)、铬(0.120)、镉(0.116),不同年龄组中权重相对较高的金属包括钼、锰、锌(<60岁组);铜、镉、钼(≥60岁组).使尿NAG异常风险降低的金属WQS指数权重最高的是锌(0.328)、钼(0.167)、铬(0.144)、镍(0.138)、锰(0.108),不同年龄组中权重相对较高的金属包括铝、钼、锌(<60岁组);钴、铬、钼(≥60岁组).因此,该矿区人群尿镉、钼、铜、铝、锌、钒水平分布在中等偏上范围,暴露于混合金属与尿β2-MG异常风险增加和尿NAG异常风险降低之间存在关联,引起β2-MG异常权重较高金属有铜、铬、镉,减少NAG异常权重较高金属有锌、钼、铬、镍、锰.