On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables
From MaRDI portal
Publication:553019
DOI10.1016/j.spl.2011.03.005zbMath1228.60039OpenAlexW1973218580MaRDI QIDQ553019
Publication date: 26 July 2011
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2011.03.005
Related Items (18)
Unnamed Item ⋮ On the rate of complete convergence for weighted sums of NSD random variables and an application ⋮ Equivalent conditions of the complete convergence for weighted sums of NSD random variables ⋮ Complete moment convergence for double-indexed randomly weighted sums and its applications ⋮ Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications ⋮ M-test in linear models with negatively superadditive dependent errors ⋮ On complete convergence of moving average processes for NSD sequences ⋮ Almost sure convergence theorem and strong stability for weighted sums of NSD random variables ⋮ On complete moment convergence for weighted sums of negatively superadditive dependent random variables. ⋮ On the strong convergence and some inequalities for negatively superadditive dependent sequences ⋮ On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Errors ⋮ Convergence properties for weighted sums of NSD random variables ⋮ The Marcinkiewics-Zygmund strong law of large numbers for dependent random variables ⋮ Difference-based M-estimator of generalized semiparametric model with NSD errors ⋮ On the strong convergence forweighted sums of negatively superadditive dependent random variables ⋮ Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables ⋮ Complete convergence for weighted sums of NSD random variables and its application in the EV regression model ⋮ Complete moment convergence and complete convergence for weighted sums of NSD random variables
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Kolmogorov inequality for weighted U-statistics
- Some maximal inequalities for quadratic forms of negative superadditive dependence random variables
- A Kolmogorov inequality for \(U\)-statistics based on Bernoulli kernels
- A note on a Kolmogorov inequality
- A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means
- Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables
- Strong law of large numbers for sums of products
- Kolmogorov inequalities for the partial sum of independent Bernoulli random variables
- Concentration Inequalities and Martingale Inequalities: A Survey
- Probability Inequalities for Sums of Bounded Random Variables
- Convergence of Quadratic Forms in Independent Random Variables
- A Class of Statistics with Asymptotically Normal Distribution
This page was built for publication: On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables
