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
A general result on complete convergence for weighted sums of linear processes and its statistical applications
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DOI: 10.1080/02331888.2019.1615912
Abstract: ABSTRACT Consider the linear process , where is a sequence of identically distributed, negatively associated random variables with , and is a sequence of real numbers with . Under some mild conditions, we first establish… read more here.
Keywords: convergence weighted; complete convergence; weighted sums; general result ... See more keywords
Complete convergence for weighted sums of mixingale sequences and statistical applications
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DOI: 10.1080/03610926.2016.1242738
Abstract: ABSTRACT In this paper, the complete convergence of weighted sums of Lr-mixingale is established, from which the complete convergence of martingale differences is also derived. As statistical applications, non parametric regression model and simpler linear… read more here.
Keywords: convergence weighted; statistical applications; complete convergence; weighted sums ... See more keywords
On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications
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DOI: 10.1515/ms-2017-0216
Abstract: Abstract In this paper, the complete convergence for the weighted sums of arrays of rowwise extended negatively dependent (END, for short) random variables is established under some mild conditions. In addition, the Marcinkiewicz-Zygmund type strong… read more here.
Keywords: complete convergence; convergence weighted; arrays rowwise; random variables ... See more keywords
On complete and complete moment convergence for weighted sums of widely orthant dependent random variables
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DOI: 10.2298/fil1815347w
Abstract: In this article, the complete convergence for weighted sums of widely orthant dependent (WOD, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of WOD random… read more here.
Keywords: convergence weighted; weighted sums; random variables; sums widely ... See more keywords