Randomly weighted sums of linearly wide quadrant-dependent random variables with heavy tails

JOURNAL ARTICLE published 17 January 2017 in Communications in Statistics - Theory and Methods

Authors: Changjun Yu | Dongya Cheng

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

On Convergence in Law of Maxima of Independent Identically Distributed Random Variables with Random Coefficients

JOURNAL ARTICLE published January 2000 in Theory of Probability & Its Applications

Authors: A. N. Chuprunov

On the Distribution of Sums of Random Variables Defined on a Homogeneous Markov Chain with a Finite Number of States

JOURNAL ARTICLE published January 1958 in Theory of Probability & Its Applications

Authors: I. S. Volkov

Approximation of the Evolution Operator by Expectations of Functionals of Sums of Independent Random Variables

JOURNAL ARTICLE published January 2019 in Theory of Probability & Its Applications

Authors: I. A. Ibragimov | N. V. Smorodina | M. M. Faddeev

On the Rate of Approach of the Distributions of Sums of Independent Random Variables to Accompanying Distributions

JOURNAL ARTICLE published September 1974 in Theory of Probability & Its Applications

Authors: I. A. Ibragimov | E. L. Presman

On the Law of the Iterated Logarithm for Operator Normed Sums of Random Vectors

JOURNAL ARTICLE published January 2002 in Theory of Probability & Its Applications

Authors: V. A. Koval'

Strong deviation theorems for delayed sums of the nonnegative continuous random variables

JOURNAL ARTICLE published 4 March 2022 in Communications in Statistics - Theory and Methods

Research funded by Natural Science Foundation of Zhejiang Province (LY17A010013) | National Natural Science Foundation of China (11201344) | Wenzhou Bureau of science and technology (R20160005)

Authors: Fengkai Dong | Huilin Huang

Compact Law of the Iterated Logarithm for Matrix-Normalized Sums of Random Vectors

JOURNAL ARTICLE published January 2008 in Theory of Probability & Its Applications

Authors: A. Mokkadem | M. Pelletier

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

Complete convergence for weighted sums of arrays of APND random variables

JOURNAL ARTICLE published 19 May 2018 in Communications in Statistics - Theory and Methods

Authors: H. R. Nili Sani | M. Amini | A. Bozorgnia

On tail behavior of randomly weighted sums of dependent subexponential random variables

JOURNAL ARTICLE published 3 March 2024 in Communications in Statistics - Theory and Methods

Research funded by Natural Science Foundation of China (12071487) | Provincial Natural Science Research Project of Anhui Colleges (KJ2021A0060) | Hunan Provincial Innovation Foundation for Postgraduate (CX20200146)

Authors: Bingzhen Geng | Zaiming Liu | Shijie Wang

Equivalent conditions of the complete convergence for weighted sums of NSD random variables

JOURNAL ARTICLE published 17 September 2019 in Communications in Statistics - Theory and Methods

Research funded by Youth Scholars of Ministry of Education of China (15YJCZH066) | Science and Technology Plan Project of Hunan Province (2016TP1020) | Science and Technology Plan Project of Hengyang City (2016TP1020) | Nature Science Foundation of Guangxi Province (2014GXNSFBA118006) | Hunan Provincial Natural Science Foundation of China (2018JJ4024)

Authors: Haiwu Huang | Hang Zou | Qingxia Zhang

On convergence rate for weighted sums of arrays of rowwise ANA random variables

JOURNAL ARTICLE published 16 February 2019 in Communications in Statistics - Theory and Methods

Authors: Rui Yang | Zhaojing Jing | Yan Shen

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

The local limit theorem for general weighted sums of Bernoulli random variables

JOURNAL ARTICLE published 2 July 2024 in Communications in Statistics - Theory and Methods

Authors: Punyapat Kammoo | Kritsana Neammanee | Kittipong Laipaporn

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 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

A weak law with random indices for randomly weighted sums of random elements in Martingale type p Banach spaces

JOURNAL ARTICLE published August 2001 in Nonlinear Analysis: Theory, Methods & Applications

Authors: Andrew Rosalsky | M. Sreehari

12. Sums of many random variables

BOOK CHAPTER published 11 July 2016 in Probability Theory and Statistical Applications