Moment Inequalities for $m$-NOD Random Variables and Their Applications
From MaRDI portal
Publication:4580424
DOI10.1137/S0040585X97T988745zbMath1405.60027OpenAlexW2886342397MaRDI QIDQ4580424
Shuhe Hu, Andrei I. Volodin, Xue-jun Wang
Publication date: 15 August 2018
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0040585x97t988745
inverse momentRosenthal inequalityMarcinkiewicz-Zygmund-type inequality\(L_r\)-convergence\(m\)-negatively orthant dependent sequence
Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) (L^p)-limit theorems (60F25)
Related Items
Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables, On asymptotic approximation of ratio models for weakly dependent sequences, Unnamed Item, A Rosenthal-type inequality for some classes of dependent random variables and its applications, Limit behaviors for ANA random variables under R-h-integrability and SR-h-integrability, Strong convergence properties for weighted sums of \(m\)-asymptotic negatively associated random variables and statistical applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Probability inequalities for END sequence and their applications
- A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
- On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables
- On complete convergence for arrays of rowwise \(m\)-negatively associated random variables
- Complete convergence of weighted sums under negative dependence
- Dependence structures of multivariate Bernoulli random vectors
- On complete convergence for weighted sums of \(\varphi \)-mixing random variables
- Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables
- Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
- A note on asymptotic approximations of inverse moments of nonnegative random variables
- Asymptotic approximation of inverse moments of nonnegative random variables
- Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
- On Fatou-type lemma for monotone moments of weakly convergent random variables.
- Further developments on sufficient conditions for negative dependence of random variables.
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- Convergence in \(r\)-mean of weighted sums of NQD random variables
- Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
- Negative association of random variables, with applications
- Maximal inequalities and an invariance principle for a class of weakly dependent random variables
- Maximal inequalities for partial sums of \(\rho\)-mixing sequences
- Complete convergence for arrays of rowwise negatively orthant dependent random variables
- Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables
- A strong limit theorem for sequences of blockwise and pairwise negative quadrant \(m\)-dependent random variables
- Exponential inequalities and inverse moment for NOD sequence
- On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables
- Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
- On limiting behavior for arrays of rowwise negatively orthant dependent random variables
- Conditional convergence for randomly weighted sums of random variables based on conditional residual \(h\)-integrability
- ASYMPTOTIC APPROXIMATIONS OF THE INVERSE MOMENT OF THE NONCENTRAL CHI-SQUARED VARIABLE
- Weak laws of large numbers for arrays of dependent random variables
- Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications
- On asymptotic approximation of inverse moments for a class of nonnegative random variables
- Strong convergence for m-pairwise negatively quadrant dependent random variables
- On the Strong Rates of Convergence for Arrays of Rowwise Negatively Dependent Random Variables
- L1-Convergence for Weighted Sums of Some Dependent Random Variables
- The Strong Consistency ofMEstimator in a Linear Model for Negatively Dependent Random Samples
- A strong law of large numbers for arrays of rowwise negatively dependent random variables
- Approximation to the moments of ratios of cumulative sums
- On the asymptotic approximation of inverse moment for non negative random variables
- A Note on the Inverse Moment for the Non Negative Random Variables
- WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
- Convergence Rates in the Law of Large Numbers
- Negative Moments of Positive Random Variables
- A functional central limit theorem for asymptotically negatively dependent random fields
- On inverse moments of nonnegative random variables
