Some convergence properties for partial sums of widely orthant dependent random variables and their statistical applications
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DOI: 10.1007/s00362-018-0996-y
Abstract: In this paper, we present the $$L_p$$Lp convergence for partial sums $$S_n=\sum _{k=1}^nX_k$$Sn=∑k=1nXk under the Cesàro uniform integrability condition and the complete convergence for the maximum of $$S_n$$Sn for sequences of widely orthant dependent random… read more here.
Keywords: orthant dependent; random variables; widely orthant; dependent random ... See more keywords
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 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
Consistency of the Priestley–Chao estimator in nonparametric regression model with widely orthant dependent errors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2016-8
Abstract: In this paper, we establish the strong consistency and complete consistency of the Priestley–Chao estimator in nonparametric regression model with widely orthant dependent errors under some general conditions. We also obtain the rates of strong… read more here.
Keywords: widely orthant; estimator nonparametric; priestley chao; orthant dependent ... See more keywords