Complete convergence theorem for negatively dependent random variables under sub-linear expectations

JOURNAL ARTICLE published 19 May 2022 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China (11661029, 71963008) | Guangxi China Science Foundation (2018GXNSFAA281011)

Authors: Binxia Chen | Qunying Wu

Complete convergence for moving average process generated by extended negatively dependent random variables under sub-linear expectations

JOURNAL ARTICLE published 19 November 2023 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China (12171198)

Authors: Xue Ding

Complete convergence for randomly weighted sums of dependent random variables and an application

JOURNAL ARTICLE published 9 October 2023 in Communications in Statistics - Theory and Methods

Research funded by National Research Foundation of Korea (2020R1F1A1A01050160)

Authors: Pingyan Chen | Jingjing Luo | Soo Hak Sung

Complete convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations

JOURNAL ARTICLE published 21 April 2023 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China (12061028) | Support Program of the Guangxi China Science Foundation (2018GXNSFAA281011) | National Science Foundation of China (12061028)

Authors: Chengcheng Jia | Qunying Wu

On Complete Convergence for an Extended Negatively Dependent Sequence

JOURNAL ARTICLE published 18 July 2014 in Communications in Statistics - Theory and Methods

Authors: Xuejun Wang | Xiaoqin Li | Shuhe Hu | Xinghui Wang

Complete convergence and the law of large numbers for arrays of random elements

JOURNAL ARTICLE published December 1997 in Nonlinear Analysis: Theory, Methods & Applications

Authors: Tien-Chung Hu | Hen-Chao Chang

Complete f -moment convergence for randomly weighted sums of extended negatively dependent random variables

JOURNAL ARTICLE published 11 October 2023 in Communications in Statistics - Theory and Methods

Research funded by the National Natural Science Foundation of China (12301181) | the Natural Science Research Project of Anhui Province (KJ2021A1095,KJ2020B03,2022AH040248) | the Outstanding Top-notch Talent Cultivation Project of Anhui Province (gxgnfx2022073,gxbjZD2021078)

Authors: Meimei Ge | Yongfeng Wu | Xin Deng

Complete convergence for weighted sums of widely negative orthant dependent random variables under the sub-linear expectations

JOURNAL ARTICLE published 21 February 2024 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China (12061028,12361031)

Authors: Lizhen Huang | Qunying Wu

Approximation of Distributions of Sums of Weakly Dependent Random Variables by the Normal Distribution

BOOK CHAPTER published 2000 in Limit Theorems of Probability Theory

Authors: J. Sunklodas

Complete convergence for weighted sums of extended negatively dependent random variables under sub-linear expectations

JOURNAL ARTICLE published 2 October 2018 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China ((11661029)) | Natural Science Foundation of Guangxi Province ((2015GXNSFAA139008))

Authors: Donglin Yu | Qunying Wu

Complete moment convergence for weighted sums of extended negatively dependent random variables

JOURNAL ARTICLE published 18 October 2017 in Communications in Statistics - Theory and Methods

Authors: Yanchun Yi | Dehua Qiu | Pingyan Chen

Convergence to the Poisson Process in a Scheme of Cumulative Sums of Dependent Random Variables

JOURNAL ARTICLE published March 1975 in Theory of Probability & Its Applications

Authors: V. G. Mikhailov

On the Convergence Rate in the Central Limit Theorem for m-Dependent Random Variables

JOURNAL ARTICLE published January 1980 in Theory of Probability & Its Applications

Authors: V. V. Shergin

The Bounded Law of the Iterated Logarithm for Weakly Dependent Random Variables with Values in a Type 2 Banach Space

JOURNAL ARTICLE published January 2005 in Theory of Probability & Its Applications

Authors: O. Sh. Sharipov

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

JOURNAL ARTICLE published 18 October 2017 in Communications in Statistics - Theory and Methods

Authors: Mengmei Xi | Xufei Tang | Junjie Lin | Ming Wang | Xuejun Wang

On Complete Convergence for Nonstationary ϕ-Mixing Random Variables

JOURNAL ARTICLE published 17 November 2014 in Communications in Statistics - Theory and Methods

Authors: Aiting Shen | Xinghui Wang | Jimin Ling

WEAK CONVERGENCE OF WEIGHTED EMPIRICAL U-STATISTICS PROCESSES FOR DEPENDENT RANDOM VARIABLES

BOOK CHAPTER published 31 December 2003 in Probability Theory and Extreme Value Theory

Authors: MICHEL HAREL | COLM ART O'CINNEIDE | MADAN L. PURI

L^p convergence and complete convergence for weighted sums of AANA random variables

JOURNAL ARTICLE published 17 November 2018 in Communications in Statistics - Theory and Methods

Research funded by National Natural Science Foundation of China (11671012) | Natural Science Foundation of Anhui Province (1508085J06) | Key Projects for Academic Talent of Anhui Province (gxbjZD2016005) | Graduate Academic Innovation Research Project of Anhui University (yfc100025) | Students Innovative Training Project of Anhui University (201710357185)

Authors: Mengmei Xi | Xin Deng | Xuejun Wang | Zhaoyang Cheng

Convergence of Moments of Random Sums of Independent Random Variables

JOURNAL ARTICLE published June 1986 in Theory of Probability & Its Applications

Authors: V. Yu. Korolev

Complete convergence and Cesàro summation for i.i.d. random variables

JOURNAL ARTICLE published March 1993 in Probability Theory and Related Fields

Authors: Allan Gut