Complete moment convergence for weighted sums of widely orthant-dependent random variables and its application in nonparametric regression models
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DOI: 10.1007/s11464-021-0915-8
Abstract: We establish some results on the complete moment convergence for weighted sums of widely orthant-dependent (WOD) random variables, which improve and extend the corresponding results of Y. F. Wu, M. G. Zhai, and J. Y.… read more here.
Keywords: widely orthant; weighted sums; convergence weighted; complete moment ... See more keywords
Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables
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DOI: 10.1080/03610926.2018.1554136
Abstract: Abstract In this paper, the complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, for short) random variables is established. As applications, the complete convergence and the Marcinkiewicz-Zygmund type strong law of large… read more here.
Keywords: arrays rowwise; complete moment; random variables; moment convergence ... See more keywords
A note on complete moment convergence for coordinatewise negatively associated random vectors in Hilbert spaces
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DOI: 10.1080/03610926.2019.1565833
Abstract: Abstract Let be coordinatewise negatively associated random vectors taking values in real separable Hilbert space. In this note we prove the convergence of and , where The present investigation provides the complete moment convergence for… read more here.
Keywords: associated random; complete moment; random vectors; negatively associated ... See more keywords
Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant-dependent random variables with applications
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DOI: 10.1080/03610926.2019.1640879
Abstract: Abstract In this paper, the complete convergence and the complete moment convergence for maximal randomly weighted sums of widely orthant-dependent (WOD, in short) random variables are investigated. By using the main results, we further consider… read more here.
Keywords: complete convergence; complete moment; convergence maximal; convergence complete ... See more keywords
Complete moment convergence for the widely orthant dependent linear processes with random coefficients
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DOI: 10.1080/03610926.2020.1756328
Abstract: Abstract The main purpose of this paper is to obtain the complete moment convergence for widely orthant dependent linear processes with random coefficients in form where is a sequence of stochastically dominated WOD random variables… read more here.
Keywords: complete moment; orthant dependent; dependent linear; moment convergence ... See more keywords
Complete moment convergence of moving-average processes under END assumptions
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DOI: 10.1080/03610926.2020.1767138
Abstract: Abstract Let be a doubly infinite sequence of identically distributed and extended negatively dependent random variables with zero means and finite variance and be an absolutely summable sequence of real numbers. In this paper, we… read more here.
Keywords: complete moment; moment convergence; moving average; convergence moving ... See more keywords
Equivalent conditions of complete moment convergence for extended negatively dependent random variables
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DOI: 10.1186/s13660-017-1403-2
Abstract: In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence… read more here.
Keywords: extended negatively; negatively dependent; complete moment; moment convergence ... See more keywords
Complete and complete moment convergence for weighted sums of ρ̃-mixing random variables
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DOI: 10.7153/jmi-2018-12-16
Abstract: In this paper, we establish complete convergence results and a complete moment convergence result and prove the equivalence of them for weighted sums of ρ̃ -mixing random variables. Our results generalize and improve the results… read more here.
Keywords: random variables; complete moment; weighted sums; sums mixing ... See more keywords
Complete convergence and complete moment convergence for arrays of rowwise widely orthant dependent random variables and an application
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2019-13-02
Abstract: Some general results on complete convergence and complete moment convergence for arrays of rowwise widely orthant dependent random variables is established. As an application, the complete consistency for the estimators in non-parametric model is established. read more here.
Keywords: complete convergence; convergence complete; convergence; complete moment ... See more keywords