Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails

By Liu Li. 2010

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On Complete Convergence for an Extended Negatively Dependent Sequence (2014, background): “Liu (2010) studied the sufficient and necessary conditions of moderate deviations for dependent random variables with heavy tails.”
Complete and complete moment convergence for weighted sums of widely orthant dependent random variables (2014, background): “[4], Liu [13, 14], Yang and Wang [26], and so on.”
Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors (2015, background): “Liu [4] studied the sufficient and necessary conditions of moderate deviations for dependent random variables with heavy tails.”
Complete Convergence for Weighted Sums and Arrays of Rowwise Extended Negatively Dependent Random Variables (2013, background): “The statement of the first lemma we could found in Liu (2010).”
Probability inequalities for END sequence and their applications (2011, background): “Liu [5] studied the sufficient and necessary conditions of moderate deviations for dependent random variables with heavy tails.”
Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models (2013, background): “The concept of general extended negative dependence was proposed by Liu [31, 32] and further promoted by Chen et al. [33, 34], Shen [35],Wang andChen [18], S. J.Wang and W. S. Wang [36] and Wang et al. [37], and so forth.”