On the Strong Law of Large Numbers for Nonnegative Random Variables

JOURNAL ARTICLE published January 2009 in Theory of Probability & Its Applications

Authors: V. V. Petrov

Marcinkiewicz–Zygmund Type Strong Law of Large Numbers for Pairwise i.i.d. Random Variables

JOURNAL ARTICLE published March 2014 in Journal of Theoretical Probability

Authors: Soo Hak Sung

Some Inequalities for the Distributions of Sums of Independent Random Variables

BOOK CHAPTER published 1975 in Sums of Independent Random Variables

Authors: Valentin V. Petrov

Weighted Sums for i.i.d. Random Variables with Relatively Thin Tails

JOURNAL ARTICLE published February 2000 in Bernoulli

Authors: Hartmut Lanzinger | Ulrich Stadtmüller | Ulrich Stadtmuller

Randomly Weighted Sums of Subexponential Random Variables with Application to Ruin Theory

JOURNAL ARTICLE published September 2003 in Extremes

Authors: Qihe Tang | Gurami Tsitsiashvili

Convergence rates in the weak law of large numbers for weighted sums of i.i.d. random variables and applications in errors-in-variables models

JOURNAL ARTICLE published December 2019 in Stochastics and Dynamics

Research funded by National Natural Science Foundation of China (71471075) | National Research Foundation of Korea (2017R1D1A1B03029898)

Authors: Mingyang Zhang | Pingyan Chen | Soo Hak Sung

Complete convergence for weighted sums of pairwise independent random variables

JOURNAL ARTICLE published 21 April 2017 in Open Mathematics

Authors: Li Ge | Sanyang Liu | Yu Miao

Baum--Katz laws for certain weighted sums of independent and identically distributed random variables

JOURNAL ARTICLE published 1 December 2003 in Bernoulli

Authors: Hartmut Lanzinger | Ulrich Stadtmüller

Strong law of large numbers for sums of products

JOURNAL ARTICLE published 1 July 1996 in The Annals of Probability

Authors: Cun-Hui Zhang

STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

JOURNAL ARTICLE published 1 November 2006 in Journal of the Korean Mathematical Society

Authors: Mi-Hwa Ko | Kwang-Hee Han | Tae-Sung Kim

Some strong convergence properties for randomly weighted maximum partial sums of END random variables with statistical applications

JOURNAL ARTICLE published 4 February 2024 in Journal of Statistical Computation and Simulation

Research funded by National Social Science Foundation of China (22BTJ059)

Authors: Minghui Wang | Xuejun Wang | Fei Zhang

Laws of large numbers for weighted sums of random variables and random elements

JOURNAL ARTICLE published June 1989 in Acta Mathematica Sinica

Authors: Lin Zhengyan

A remark on the law of the logarithm for weighted sums of random variables with multidimensional indices

JOURNAL ARTICLE published December 2011 in Statistics & Probability Letters

Authors: Pingyan Chen | Chunyan Hao

On convergence rates in the law of large numbers for weighted sums of independent random variables

JOURNAL ARTICLE published 1 February 1969 in Proceedings of the American Mathematical Society

Authors: V. K. Rohatgi

The strong data processing constant for sums of i.i.d. random variables

PROCEEDINGS ARTICLE published June 2015 in 2015 IEEE International Symposium on Information Theory (ISIT)

Authors: Sudeep Kamath | Chandra Nair

Tail Triviality for Sums of Stationary Random Variables

JOURNAL ARTICLE published 1 October 1989 in The Annals of Probability

Authors: H. C. P. Berbee | W. Th. F. Den Hollander

A Local Limit Theorem for Large Deviations of Sums of Independent, Nonidentically Distributed Random Variables

JOURNAL ARTICLE published 1 June 1979 in The Annals of Probability

Authors: David McDonald

Optimal binomial, Poisson, and normal left-tail domination for sums of nonnegative random variables

JOURNAL ARTICLE published 1 January 2016 in Electronic Journal of Probability

Authors: Iosif Pinelis

On the ordered partial sums of real random variables

JOURNAL ARTICLE published March 1977 in Journal of Applied Probability

Authors: Lajos Takács

Almost Sure Invariance Principles for Partial Sums of Mixing $B$-Valued Random Variables

JOURNAL ARTICLE published 1 December 1980 in The Annals of Probability

Authors: J. Kuelbs | Walter Philipp