Abstract

In this article, we prove the complete q-th moment convergence for the maximum of partial sums of $m$-negatively associated random variables $\left\{X_n,n\ge 1\right\}$ under some general conditions. The results obtained in this article are extensions of previous studies for $m$-negatively associated random variables. In addition, we investigate the strong consistency of the least squares estimator in the simple linear errors-in-variables model based on $m$-negatively associated random variables, and provide some simulations to assess the finite sample performance of the theoretical results.

中文翻译：

---

m负相关随机变量部分和的最大值的完全q阶矩收敛及其在EV回归模型中的应用*

摘要

在本文中，我们证明了部分和的最大值的完全q阶矩收敛$米$-负相关的随机变量$\left\{X_n,n\ge \mathrm{1个}\right\}$在一些一般条件下。本文获得的结果是对以往研究的扩展$米$-负相关的随机变量。此外，我们研究了最小二乘估计量在简单线性变量误差模型中的强一致性$米$-负相关的随机变量，并提供一些模拟来评估理论结果的有限样本性能。