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An Exponential Inequality for Negatively Associated Random Variables
... 4 L. Devroye, “Exponential inequalities in nonparametric estimation,” in Nonparametric Functional Estimation and Related Topics (Spetses, 1990), G. Roussas, Ed., vol. 335 of NATO Advanced Science Institutes Series ... See full document
7
Hájek–Rényi inequality for m asymptotically almost negatively associated random vectors in Hilbert space and applications
... type inequality has been studied by many ...Hájek–Rényi inequality for Banach-space-valued random variables, Liu, Gan, and Chen [14] studied the Hájek–Rényi inequality for NA ... See full document
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A note on the complete convergence for arrays of dependent random variables
... for negatively associated and negatively dependent ran- dom variables and then they proved the case of mean zero by using these ...of negatively associated mean zero, an ... See full document
8
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... moment inequality of negatively dependent (ND) random variables which obtained by Asadian et ...ND random variables is ...of random variables is ... See full document
10
The Berry Esséen bound of sample quantiles for NA sequence
... The concept of an NA sequence was introduced by Joag-Dev and Proschan []. There are many good results of NA random variables. For example, Matula [] obtained the three series theorem, Su et al. [] gave ... See full document
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Complete convergence for negatively orthant dependent random variables
... In this paper, necessary and sufficient conditions of the complete convergence are obtained for the maximum partial sums of negatively orthant dependent (NOD) random variables. The results extend and ... See full document
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Hajek Renyi type inequality for some nonmonotonic functions of associated random variables
... Associated random variables are of considerable interest in reliability studies ...for associated sequences, see Roussas [14] and Dewan and Rao ...an inequality for maximum of partial ... See full document
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\(L {p}\) convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in \(\mathbb{R}^{d}\)
... asymptotically negatively associated random variables is negatively associated if and only if ρ – (1) = ...of random variables (for detailed examples, see Zhang [3, ... See full document
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On the complete convergence for pairwise negatively quadrant dependent random variables
... difference, negatively associated sequence, mixing random variables and so ...the negatively quadrant dependent random ... See full document
11
Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
... distributed random variables to the case of negatively associated random vari- ables with identical ...ρ-mixing random variables and non-identically distributed ... See full document
11
On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...dependent random variables has been ...for negatively associated sequence, and Baek ... See full document
12
A note on the complete convergence for weighted sums of negatively dependent random variables
... In (.), a ≈ b means that a = O(b) and b = O(a). Theorem . extends the result of Liang and Su [] for negatively associated random variables to negatively dependent case. The proof ... See full document
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Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences
... almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and ob- tain the ... See full document
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A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... moment inequality of negatively dependent random variables which was obtained by Asadian et ...of negatively dependent random variables is ...for negatively ... See full document
8
Complete moment convergence for weighted sums of negatively superadditive dependent random variables
... NSD random variables was introduced by Hu [], which was based on the class of superadditive ...of negatively associated structure and sometimes more useful than it and can be used to get many ... See full document
13
Some Probability Inequalities for Quadratic Forms of Negatively Dependent Subgaussian Random Variables
... upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random ...subgaussian random variables is generalized to the case of ... See full document
5
Exponential Inequalities for Positively Associated Random Variables and Applications
... by 3.7. Combining 3.9–3.11, we can get 3.8 by Lemma 3.4. The proof is completed. Remark 3.6. 1 Let us compare Theorem 3.5 with 4, Theorem 3.6. Our result drops the strict stationarity of the positively associated ... See full document
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On complete moment convergence for nonstationary negatively associated random variables
... of negatively associated random variables satisfying a weak mean dominating ...for negatively associated random variables by Kuczmaszewska [] and conditions for ... See full document
12
Some exponential inequalities for acceptable random variables and complete convergence
... two random variables X and Y such that the density of their sum is the convolution of their densities, yet they are not ...not negatively dependent ... See full document
10
Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
... Hsu and Robbins [1] proved that the arithmetic means of independent and identically dis- tributed (i.i.d., in short) random variables converges completely to the expected value of the summands, provided the ... See full document
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