General results of complete convergence and complete moment convergence for weighted sums of some class of random variables
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Publication:2816433
DOI10.1080/03610926.2014.921308zbMath1346.60034OpenAlexW2340603304MaRDI QIDQ2816433
Andrei I. Volodin, Shuhe Hu, Xue-jun Wang
Publication date: 22 August 2016
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2014.921308
complete convergenceweighted sumscomplete moment convergenceMarcinkiewicz-Zygmund strong law of large numbersRosenthal-type maximal inequality
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Cites Work
- Probability inequalities for END sequence and their applications
- Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables
- A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
- Some convergence properties for weighted sums of pairwise NQD sequences
- Strong laws for weighted sums of NA random variables
- On the strong convergence for weighted sums of random variables
- On complete convergence for arrays of rowwise weakly dependent random variables
- Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
- A comparison theorem on moment inequalities between negatively associated and independent 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
- Complete convergence for arrays of rowwise negatively orthant dependent random variables
- On the strong convergence of a weighted sum
- Marcinkiewicz strong laws for linear statistics
- Strong convergence results for weighted sums of \({\tilde\rho}\)-mixing random variables
- Limiting behavior of weighted sums of i.i.d. random variables
- Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
- On complete convergence for arrays of rowwise negatively associated random variables
- Strong convergence results for arrays of rowwise pairwise NQD random variables
- STRONG LIMIT THEOREMS FOR WEIGHTED SUMS OF NOD SEQUENCE AND EXPONENTIAL INEQUALITIES
- Almost sure convergence theorems of weighted sums of random variables
- Strong laws for weighted sums of i. i. d. random variables
