Open AccessWeak Laws of Large Numbers for Negatively Superadditive Dependent Random Vectors in Hilbert Spaces
Author(s) -
Bui Khanh Hang,
Tran Manh Cuong,
Ta Cong Son
Publication year - 2021
Publication title -
tạp chí khoa học đại học quốc gia hà nội: toán - lý (vnu journal of science: mathematics - physics)
Language(s) - English
Resource type - Journals
eISSN - 2615-9341
pISSN - 2588-1124
DOI - 10.25073/2588-1124/vnumap.4571
Subject(s) - superadditivity , hilbert space , mathematics , law of large numbers , separable space , sequence (biology) , space (punctuation) , random sequence , combinatorics , discrete mathematics , random variable , pure mathematics , law , mathematical analysis , statistics , computer science , genetics , operating system , distribution (mathematics) , biology , political science
Let $\{X_{n}, {n}\in \mathbb{N}\}$ be a sequence of negatively superadditive dependent random vectors taking values in a real separable Hilbert space. In this paper, we present the weak laws of large numbers for weighted sums (with or without random indices) of $\{X_{n}, {n}\in \mathbb{N}\}$.