On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models

X Wang, C Xu, TC Hu, A Volodin, S Hu - Test, 2014 - Springer
In this paper, some probability inequalities and moment inequalities for widely orthant-
dependent (WOD, in short) random variables are presented, especially the Marcinkiewicz …

Strong limit theorems for extended independent random variables and extended negatively dependent random variables under sub-linear expectations

LX Zhang - Acta Mathematica Scientia, 2022 - Springer
Limit theorems for non-additive probabilities or non-linear expectations are challenging
issues which have attracted a lot of interest recently. The purpose of this paper is to study the …

Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors

X Wang, L Zheng, C Xu, S Hu - Statistics, 2015 - Taylor & Francis
In this paper, we provide some exponential inequalities for extended negatively dependent
(END) random variables. By using these exponential inequalities and the truncated method …

[HTML][HTML] Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models

Y Chen, L Wang, Y Wang - Journal of Mathematical Analysis and …, 2013 - Elsevier
In this paper, we consider uniform asymptotics for the finite-time ruin probabilities of two
kinds of nonstandard bidimensional renewal risk models with constant interest forces and …

Basic renewal theorems for random walks with widely dependent increments

Y Wang, D Cheng - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper, we derive some basic renewal theorems for random walks with widely
dependent increments, which contain some common negatively dependent random …

Bernstein‐Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models

A Shen - Abstract and applied analysis, 2013 - Wiley Online Library
We present the Bernstein‐type inequality for widely dependent random variables. By using
the Bernstein‐type inequality and the truncated method, we further study the strong …

Complete convergence for weighted sums and arrays of rowwise extended negatively dependent random variables

X Wang, TC Hu, A Volodin, S Hu - Communications in Statistics …, 2013 - Taylor & Francis
In this article, we study the complete convergence for weighted sums of extended negatively
dependent random variables and row sums of arrays of rowwise extended negatively …

Complete convergence for weighted sums of END random variables and its application to nonparametric regression models

A Shen - Journal of Nonparametric Statistics, 2016 - Taylor & Francis
In this article, the complete convergence for weighted sums of extended negatively
dependent (END, for short) random variables is investigated. Some sufficient conditions for …

Complete convergence and complete moment convergence for arrays of rowwise END random variables

Y Wu, M Ordóñez Cabrera, A Volodin - Glasnik matematički, 2014 - hrcak.srce.hr
Sažetak The authors study complete convergence and complete moment convergence for
arrays of rowwise extended negatively dependent (END) random variables and obtain some …

Complete f-moment convergence for extended negatively dependent random variables

Y Wu, X Wang, TC Hu, A Volodin - Revista De La Real Academia De …, 2019 - Springer
In this paper, we study the complete f-moment convergence for arrays of rowwise extended
negatively dependent (END) random variables. A general result on the complete moment …