Probability inequalities for END sequence and their applications

A Shen - Journal of Inequalities and Applications, 2011 - Springer
Some probability inequalities for extended negatively dependent (END) sequence are
provided. Using the probability inequalities, we present some moment inequalities …

On asymptotic approximation of inverse moments for a class of nonnegative random variables

A Shen - Statistics, 2014 - Taylor & Francis
Sung [On inverse moments for a class of nonnegative random variables. J Inequal Appl.
2010; 2010: 1–13. Article ID 823767, doi: 10.1155/2010/823767] obtained the asymptotic …

Exponential inequalities and inverse moment for NOD sequence

X Wang, S Hu, W Yang, N Ling - Statistics & Probability Letters, 2010 - Elsevier
Some exponential inequalities for a negatively orthant dependent sequence are obtained.
By using the exponential inequalities, we study the asymptotic approximation of inverse …

[HTML][HTML] On the asymptotic approximation of inverse moment under sub-linear expectations

Y Wu, X Wang, L Zhang - Journal of Mathematical Analysis and …, 2018 - Elsevier
In this paper, we will investigate the approximations of inverse moments for double-indexed
weighted sums of random variables under sub-linear expectations. The asymptotic …

A note on asymptotic approximations of inverse moments of nonnegative random variables

X Shi, Y Wu, Y Liu - Statistics & probability letters, 2010 - Elsevier
Let {Zn} be a sequence of independently distributed and nonnegative random variables and
let Xn=∑ i= 1nZi. We show that, under mild conditions,[Formula: see text] can be …

Asymptotic approximation of inverse moments of nonnegative random variables

TJ Wu, X Shi, B Miao - Statistics & Probability Letters, 2009 - Elsevier
Let {Zn, n≥ 1} be a sequence of independent nonnegative rv's (random variables) with finite
second moments. It is shown that under a Lindeberg-type condition, the αth inverse moment …

Moment Inequalities for -NOD Random Variables and Their Applications

XJ Wang, SH Hu, AI Volodin - Theory of Probability & Its Applications, 2018 - SIAM
The concept of m-negatively orthant dependent (m-NOD) random variables is introduced,
and the moment inequalities for m-NOD random variables, especially the Marcinkiewicz …

[PDF][PDF] On inverse moments for a class of nonnegative random variables

SH Sung - Journal of Inequalities and Applications, 2010 - Springer
Using exponential inequalities, Wu et al.(2009) and Wang et al.(2010) obtained asymptotic
approximations of inverse moments for nonnegative independent random variables and …

A note on the inverse moment for the non negative random variables

S Hu, X Wang, W Yang, X Wang - Communications in Statistics …, 2014 - Taylor & Francis
Let {Zn} be a sequence of non negative random variables satisfying a Rosenthal-type
inequality and, where {Mn} is a sequence of positive real numbers. By using the Rosenthal …

混合序列的Bernstein 型不等式及其逆矩

胡舒合, 李晓琴, 杨文志, 王学军 - 数学物理学报, 2012 - manu45.magtech.com.cn
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