On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application

SC Ta, CM Tran, DV Le - Communications in Statistics-Theory and …, 2020 - Taylor & Francis
This paper develops almost sure convergence for sums of negatively superadditive
dependent random vectors in Hilbert spaces, we obtain Chung type SLLN and the Jaite type …

On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application

SC Ta, CM Tran, DV Le, CV Ta - Communications in Statistics …, 2023 - Taylor & Francis
In this article, we investigate complete convergence and strong laws of large numbers for
weighted sums of coordinatewise pairwise negative quadrant dependent random variables …

Generalized Marcinkiewicz laws for weighted dependent random vectors in Hilbert spaces

TC Son, LV Dung, DT Dat, TT Trang - Theory of Probability & Its Applications, 2022 - SIAM
The aim of this paper is to apply the theory of regularly varying functions for studying
Marcinkiewicz weak and strong laws of large numbers for the weighted sum …

The complete moment convergence for coordinatewise pairwise negatively quadrant dependent random vectors in Hilbert space

MH Ko - Communications in Statistics-Theory and Methods, 2023 - Taylor & Francis
Full article: The complete moment convergence for coordinatewise pairwise negatively quadrant
dependent random vectors in Hilbert space Skip to Main Content Taylor and Francis Online …

On the Convergence for Randomly Weighted Sums of Hilbert-valued Coordinatewise Pairwise NQD Random Variables

CM Tran, CV Ta, HB Khanh - Acta Mathematica Vietnamica, 2024 - Springer
In this paper, we present the complete convergence for weighted sums of coordinatewise
pairwise negative quadrant dependent random variables taking values in Hilbert spaces. As …

Weak Laws of Large Numbers for Negatively Superadditive Dependent Random Vectors in Hilbert Spaces

KH Bui, MC Tran, CS Ta - VNU Journal of Science: Mathematics …, 2021 - js.vnu.edu.vn
Abstract 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 …

Central limit theorems for weighted sums of dependent random vectors in Hilbert spaces via the theory of the regular variation

TC Son, LV Dung - Journal of Theoretical Probability, 2022 - Springer
In this paper, based on the theory of regularly varying functions we study central limit
theorems for the weighted sum S_n= ∑ _ j= 1^ m_n c_ nj X_ nj S n=∑ j= 1 mnc nj X nj …

[引用][C] Complete Convergence for Weighted Sums of Pairwise Negative Quadrant Dependent Random Variables

MC Tran - VNU Journal of Science: Mathematics-Physics, 2024 - js.vnu.edu.vn
Complete Convergence for Weighted Sums of Pairwise Negative Quadrant Dependent
Random Variables Page 1 VNU Journal of Science: Mathematics – Physics, Vol. 40, No. 2 (2024) …

Strong Laws of Large Numbers for Weighted Sums of Hilbert-valued Coordinatewise PNQD Random Variables with Applications

VC Ta, KH Bui, TTL Bui - VNU Journal of Science: Mathematics …, 2023 - js.vnu.edu.vn
The aim of this work is to investigate results on almost sure convergence of weighted sums
of coordinatewise pairwise negatively quadrant dependent random variables taking values …

[PDF][PDF] On complete convergence for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces

VTN Anh, NTT Hien - 대한수학회보, 2022 - researchgate.net
Marcinkiewicz–Zymund type strong law of large numbers for sequences of coordinatewise
negatively associated and identically distributed random vectors {X, Xn, n≥ 1} taking values …