\(L^r\) convergence for \(B\)-valued random elements
From MaRDI portal
Publication:270313
DOI10.1007/s10114-011-9475-2zbMath1334.60005OpenAlexW2094254735MaRDI QIDQ270313
Ding Cheng Wang, Ping Yan Chen
Publication date: 7 April 2016
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-011-9475-2
\(L^r\) convergenceMarcinkiewicz-Zygmund strong law of large numberRademacher type \(p\)random element
Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)
Related Items (4)
Unnamed Item ⋮ Baum-Katz's type theorems for pairwise independent random elements in certain metric spaces ⋮ Complete moment convergence for Sung's type weighted sums of \(B\)-valued random elements ⋮ On complete convergence and the strong law of large numbers for pairwise independent random variables
Cites Work
- Mean convergence theorem for multidimensional arrays of random elements in Banach spaces
- Inequalities for B-valued random vectors with applications to the strong law of large numbers
- The law of large numbers and the central limit theorem in Banach spaces
- A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces
- Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
- Some results on the convergence of weighted sums of random elements in separable Banach spaces
- Laws of Large Numbers for Identically Distributed Banach-Space Valued Random Variables
- Mean Convergence Theorems with or without Random Indices for Randomly Weighted Sums of Random Elements in Rademacher TypepBanach Spaces
- Characterization of typep Banach spaces by the weak law of large numbers
- On Convergence in $r$-Mean of Normalized Partial Sums
- Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(L^r\) convergence for \(B\)-valued random elements
