On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables
DOI10.1002/mana.202000447zbMath1526.60028arXiv2008.01306OpenAlexW4308065965MaRDI QIDQ6047462
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.01306
strong law of large numbersreal separable Banach spacecomplete convergence in meanstable type \(p\) Banach space\((p, q)\)-type strong law of large numbers
Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A refinement of the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers
- Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
- The Marcinkiewicz-Zygmund LLN in Banach spaces: a generalized martingale approach
- Strong laws of large numbers for fields of Banach space valued random variables
- Characterization of the law of the iterated logarithm 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
- Some stability results for vector valued random variables
- Martingales in Banach Spaces
- On Complete Convergence in Mean of Normed Sums of Independent Random Elements in Banach Spaces
- A characterization of a new type of strong law of large numbers
- Characterization of LIL behavior in Banach space
- Stable Measures and Central Limit Theorems in Spaces of Stable Type
- Central limit theorems and weak laws of large numbers in certain banach spaces
- Multiparameter Processes
- New Versions of Some Classical Stochastic Inequalities
- An Extension of Theorems of Hechner and Heinkel
- On complete convergence in mean for double sums of independent random elements in Banach spaces
This page was built for publication: On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables
