On complete convergence and complete moment convergence for weighted sums of \(\rho^\ast\)-mixing random variables
From MaRDI portal
Publication:824579
DOI10.1186/s13660-018-1710-2zbMath1497.60034OpenAlexW2806857044WikidataQ95580819 ScholiaQ95580819MaRDI QIDQ824579
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1710-2
Random fields (60G60) Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Related Items (17)
Convergence rate for weighted sums of ψ-mixing random variables and applications ⋮ Complete and Complete Moment Convergence of the Weighted Sums of $ρ^∗$-Mixing Random Vectors in Hilbert Spaces ⋮ Convergence properties for weighted sums of weakly dependent random vectors in Hilbert spaces ⋮ On asymptotic approximation of ratio models for weakly dependent sequences ⋮ On complete and complete moment convergence for weighted sums of ANA random variables and applications ⋮ Complete moment convergence for maximum of randomly weighted sums of martingale difference sequences ⋮ On convergence properties for weighted sums of coordinatewise ANA random vectors in Hilbert spaces ⋮ Strong convergence for weighted sums of widely orthant dependent random variables and applications ⋮ Complete moment convergence for (α,β)-mixing random variables and its application ⋮ Strong laws for weighted sums of \(m\)-extended negatively dependent random variables and its applications ⋮ Complete and complete moment convergence for randomly weighted sums ofρ*-mixing random variables and its applications ⋮ Complete moment convergence for m-ANA random variables and statistical applications ⋮ Strong convergence properties for weighted sums of \(m\)-asymptotic negatively associated random variables and statistical applications ⋮ Complete moment convergence of extended negatively dependent random variables ⋮ Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions ⋮ Complete convergence for weighted sums of widely orthant-dependent random variables ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Complete \(q\)th moment convergence for arrays of random variables
- Complete convergence for weighted sums of random variables
- Complete convergence of weighted sums for \(\rho *\)-mixing sequence of random variables
- Complete convergence for weighted sums of \(\rho \ast \)-mixing random variables
- A remark on almost sure convergence of weighted sums
- On the spectral density and asymptotic normality of weakly dependent random fields
- Almost-sure results for a class of dependent random variables
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- On complete convergence and strong law for weighted sums of i.i.d. random variables
- Maximal inequalities and an invariance principle for a class of weakly dependent random variables
- A strong law for weighted sums of i.i.d. random variables
- Marcinkiewicz strong laws for linear statistics
- Complete moment convergence for weighted sums of weakly dependent random variables and its application in nonparametric regression model
- Limiting behavior of weighted sums of i.i.d. random variables
- Moment Conditions for Almost Sure Convergence of Weakly Correlated Random Variables
- Almost sure convergence theorems of weighted sums of random variables
- Some Convergence Theorems for Independent Random Variables
This page was built for publication: On complete convergence and complete moment convergence for weighted sums of \(\rho^\ast\)-mixing random variables