Open AccessOn Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
Author(s) -
Xiaochen Ma,
Qunying Wu
Publication year - 2019
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2019/7945431
Subject(s) - sublinear function , mathematics , law of large numbers , random variable , context (archaeology) , space (punctuation) , discrete mathematics , statistics , computer science , paleontology , biology , operating system
In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for weighted sums of extended negatively dependent random variables. Furthermore, our results extend strong law of large numbers for some sequences of random variables from the traditional probability space to the sublinear expectation space context.