ROSENTHAL’S TYPE INEQUALITIES FOR NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

By N. Asadian, V. Fakour, A. Bozorgnia. 2006

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On asymptotic approximation of inverse moments for a class of nonnegative random variables (2014, background): “See for example, φ mixing identically distributed random variables with ∑∞ n= φ1/2(2n) < ∞ (see [19]), ρ mixing identically distributed random variables with ∑∞ n= ρ2/p(2n) < ∞ (see [20]), negatively associated random variables (see [21]), ρ̃ mixing random variables (see [22]), negatively dependent ”
On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables (2013, methodology): “6 [4,22].”
On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models (2014, methodology): “Inspired by Fakoor and Azarnoosh (2005), Asadian et al. (2006) and Shen (2011), we can get the following probability inequality for WOD random variables.”
Complete convergence for arrays of rowwise negatively orthant dependent random variables (2011, unknown): “[4] for the Rosenthal’s type inequality, Kim [11] for Hájek–Rényi type inequality, Amini et al.”
Probability inequalities for END sequence and their applications (2011, unknown): “[2].”