WEIGHTED SUMS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES

In this paper, we establish strong laws for weighted sums of negatively associated (NA) random variables which have a higher‐order moment condition. Some results of Bai Z.D. & Cheng P.E. (2000) [Marcinkiewicz strong laws for linear statistics. Statist. and Probab. Lett. 43, 105–112,] and Sung S.K. (2001) [Strong laws for weighted sums of i.i.d. random variables, Statist. and Probab. Lett. 52, 413–419] are sharpened and extended from the independent identically distributed case to the NA setting. Also, one of the results of Li D.L. et al. (1995) [Complete convergence and almost sure convergence of weighted sums of random variables. J. Theoret. Probab. 8, 49–76,] is complemented and extended.     

结构方程模型的特点及应用

大型工程建设项目伴随着国内经济发展而大幅增加,因而对其社会稳定风险的识别、评估及预警显得尤为迫切。有别于常规的风险识别及整体评估方法,针对关联风险因素内在关联关系的研究,有助于厘清社会稳定风险构成原理、构建预警管理体系。采用问卷调查法获取数据,经分析后构建结构方程模型（SEM）,再结合评估所得的风险因素,针对某大型机场建设项目社会稳定风险实证应用该分析方法,定量分析风险构成及大小,完善社会稳定风险评估路径。

     

对我国上市公司关联交易问题的探析

近年来我国上市公司的关联交易呈发展趋势,且存在着利用关联交易恶意操纵利润的情况,对公司和中小股东的利益带来了损害.本文对我国上市公司不当关联交易的现状、特点、造成的损害和形成的原因进行了分析,并提出了规范我国上市公司关联交易应采取的措施.     

基于行为生态学的产业集群拥挤效应克服

产业集群除了具有众多经济优势外也具有潜在的风险,拥挤效应就是其中之一.从行为生态学的视角看,以生物社群关联度指数模型为基础,分别引入集群内部关系及集群间际关系,从静态和动态两个方面探讨集群最优规模,并以此来克服集群的拥挤效应.这对资源禀赋不同的地区区域经济发展具有一定的借鉴意义.     

The Recursive Kernel Distribution Function Estimator Based on Negatively and Positively Associated Sequences

Let {X _j , j ≥ 1} be a strictly stationary negatively or positively associated sequence of real valued random variables with unknown distribution function F(x). On the basis of the random variables {X _j , j ≥ 1}, we propose a smooth recursive kernel-type estimate of F(x), and study asymptotic bias, quadratic-mean consistency and asymptotic normality of the recursive kernel-type estimator under suitable conditions.     

Empirical Likelihood for Single-Index Regression Models under Negatively Associated Errors

In this article, we use bockwise empirical likelihood technique to construct confidence regions for the parameter of the single-index models under negatively associated errors. It is shown that the blockwise empirical likelihood ratio statistic for the parameter of interest is asymptotically χ²-type distributed. The result can be used to obtain confidence regions for the parameter of interest.     

Complete moment convergence and Lr convergence for asymptotically almost negatively associated random variables

In this paper, we investigate the complete moment convergence and L_r convergence for maximal partial sums of asymptotically almost negatively associated random variables under some general conditions. The results obtained in the paper generalize some corresponding ones for negatively associated random variables.     

Wavelet density estimation for negatively associated stratified size-biased sample

This paper provides upper bounds of wavelet estimations on L^p (1≤p<∞) risk for a density function in Besov spaces based on negatively associated stratified size-biased random samples. It turns out that the classical theorem of Donoho, Johnstone, Kerkyacharian and Picard is completely extended to more general cases. More precisely, we consider the model with multiplication noise and allow the sample negatively associated. Our theory is illustrated with a simulation study.     

Random Weighting Estimation for Quantile Processes and Negatively Associated Samples

This article presents new theories of random weighting estimation for quantile processes and negatively associated samples. Under the condition that X ₁, X ₂,…, X _n are independent random variables with a common distribution, the consistency for random weighting estimation of quantile processes is rigorously proved. When X ₁, X ₂,…, X _n are not independent of each other, random weighting estimation of sample mean is established for negatively associated samples.     

Almost Sure Convergence of Weighted Sums for Negatively Associated Random Variables

In this article, let {X₁, …, X_n} be a sequence of negatively associated random variables and {a_ni, 1 ? i ? n, n ? 1} be a triangular array of constants. Several almost sure convergence theorems for the weighted sums ∑ⁿ_{i = 1}a_niX_i are established.