Complete convergence and complete moment convergence for widely orthant-dependent random variables

DOI10.1080/03610926.2016.1177085zbMath1372.60034OpenAlexW2482931657MaRDI QIDQ5367306

Yi Wu, Yang Ding, Xinran Tao, Songlin Ma, Xue-jun Wang

Publication date: 12 October 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2016.1177085

zbMATH Keywords

complete convergencecomplete moment convergencewidely orthant-dependent random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

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Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables ⋮ Elementary renewal theorems for widely dependent random variables with applications to precise large deviations ⋮ Complete moment convergence for the widely orthant dependent linear processes with random coefficients ⋮ Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant-dependent random variables with applications ⋮ Probability inequalities for sums of NSD random variables and applications ⋮ Complete convergence for maximum of weighted sums of WNOD random variables and its application ⋮ Complete \(f\)-moment convergence for maximal randomly weighted sums of arrays of rowwise widely orthant dependent random variables and its statistical applications ⋮ Weak law of large numbers and complete convergence for general dependent sequences ⋮ Generalized weak laws of large numbers in Hilbert spaces ⋮ Complete and complete integral convergence for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations

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