Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors

X Wang, Y Wu, S Hu - AStA Advances in Statistical Analysis, 2018 - Springer
In this paper, the strong laws of large numbers for partial sums and weighted sums of
negatively superadditive-dependent (NSD, in short) random variables are presented …

On the convergence of the Baum--Katz series for elements of a linear autoregression

M Ilienko - Acta Mathematica Hungarica, 2021 - Springer
We study complete convergence and closely related Hsu–Robbins–Erdős-Spitzer–Baum–
Katz series for sums whose terms are elements of linear autoregression sequences. We …

Complete and complete moment convergence with applications to the EV regression models

Z Wang, Y Wu, M Wang, X Wang - Statistics, 2019 - Taylor & Francis
In this paper, the complete convergence and complete moment convergence for arrays of
rowwise m-extended negatively dependent (m-END, for short) random variables are …

On the rate of complete convergence for weighted sums of NSD random variables and an application

H Naderi, M Amini, A Bozorgnia - Applied Mathematics-A Journal of …, 2017 - Springer
In this paper, the complete convergence is established for the weighted sums of negatively
superadditive-dependent random variables. As an application, the Marcinkiewicz-Zygmund …

[HTML][HTML] Asymptotic normality and mean consistency of LS estimators in the errors-in-variables model with dependent errors

Y Zhang, X Liu, Y Yu, H Hu - Open Mathematics, 2020 - degruyter.com
In this article, an errors-in-variables regression model in which the errors are negatively
superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type …

Strong laws of large numbers for IVM-events

P Nowak, O Hryniewicz - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
Nonstandard probability theories have been developed for modeling random systems in
complex spaces, such as, quantum systems. One of these theories, the MV-algebraic …

On the strong convergence for weighted sums of negatively superadditive dependent random variables

L Zheng, X Wang, W Yang - Filomat, 2017 - JSTOR
In this paper, we present some results on the complete convergence for arrays of rowwise
negatively superadditive dependent (NSD, in short) random variables by using the …

NSD 随机阵列加权和最大值的收敛性

胡学平, 王柳柳, 杨瑞 - 吉林大学学报(理学版), 2021 - xuebao.jlu.edu.cn
NSD随机阵列加权和最大值的收敛性 Page 1 第59卷第5期 吉林大学学报(理学版) Vol.59 No.5
2021年9月 JournalofJilinUniversity(ScienceEdition) Sep 2021 doi:10.13413/j.cnki.jdxblxb.2021144 …

NSD 随机变量阵列的完全矩收敛性

张玉, 肖犇琼, 许可, 沈爱婷 - 山东大学学报(理学版), 2016 - lxbwk.njournal.sdu.edu.cn
虽然目前独立变量的概率极限理论和统计大样本理论已经非常完善, 但在实际生活中,
独立变量的假设并不是太符合实际问题, 因此, 自20 世纪50 年代起, 有很多概率统计学者相继 …

On complete moment convergence for weighted sums of negatively superadditive dependent random variables

H Huang, X Lu - Applications of Mathematics, 2020 - Springer
In this work, the complete moment convergence and complete convergence for weighted
sums of negatively superadditive dependent (NSD) random variables are studied, and some …