Complete consistency of estimators for regression models based on extended negatively dependent errors
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DOI: 10.1007/s00362-016-0771-x
Abstract: In this paper, we investigate the consistency of the estimators of nonparametric regression model and multiple linear regression model based on extended negatively dependent errors. The complete convergence rates of the estimators of nonparametric regression… read more here.
Keywords: extended negatively; regression model; consistency; consistency estimators ... See more keywords
Strong laws for weighted sums of m-extended negatively dependent random variables and its applications
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DOI: 10.1016/j.jmaa.2020.124566
Abstract: Abstract In this paper, the sufficient and necessary conditions for complete convergence and the Kolmogorov strong law of large numbers for weighted sums of m-extended negatively dependent random variables are presented. Some applications of the… read more here.
Keywords: weighted sums; dependent random; extended negatively; negatively dependent ... See more keywords
Complete convergence for weighted sums of negatively dependent random variables under the sub-linear expectations
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DOI: 10.1080/03610926.2018.1429632
Abstract: ABSTRACT In this article, we study complete convergence theorems for weighted sums of negatively dependent random variables under the sub-linear expectations. Our results extend the corresponding results of Sung (2012) relative to the classical probability. read more here.
Keywords: random variables; complete convergence; weighted sums; dependent random ... See more keywords
Complete convergence theorem for negatively dependent random variables under sub-linear expectations
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2020.1790603
Abstract: Abstract Under the condition that the Choquet integral exists, we study the complete convergence theorem for negatively dependent random variables under sub-linear expectation space. Two general complete convergence theorems under sub-linear expectation space are obtained,… read more here.
Keywords: complete convergence; sub linear; negatively dependent; convergence theorem ... See more keywords
Equivalent conditions of complete moment convergence for extended negatively dependent random variables
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
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