On the convergence of weighted sums of \(L_q\)-mixingale arrays

DOI10.1023/A:1026445923796zbMath0940.60029OpenAlexW1717560477MaRDI QIDQ1964615

Shixin Gan

Publication date: 21 February 2000

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026445923796

zbMATH Keywords

complete convergencemartingale difference sequencetriangular arrayBernstein's inequality\(L_q\)-mixingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15) Large deviations (60F10) (L^p)-limit theorems (60F25)

Related Items (4)

Complete convergence theorems for \(L^{p}\)-mixingales. ⋮ Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions ⋮ Convergence in ther-th mean and the Marcinkiewicz type weak law of large numbers for weighted sums ofL q-mixingale arrays ⋮ On the weak laws of large numbers for arrays of random variables

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