[PDF] Top 20 A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
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A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... P(X > x, Y > y) ≤ P(X > x)P(Y > y) (1:2) for all x, y Î R. Moreover, it follows that (1.2) implies (1.1), and hence, (1.1) and (1.2) are equivalent. However, (1.1) and (1.2) are not equivalent for a ... See full document
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A note on the complete convergence for weighted sums of negatively dependent random variables
... The complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: ... See full document
10
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... strong convergence for weighted sums of arrays of ANA random variables without assumption of identical distribution and obtain some im- proved results ...so-called ... See full document
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Complete moment convergence for weighted sums of negatively superadditive dependent random variables
... NSD random variables with EX i r < ∞ for all i ≥ and some r > ...NSD random variables. Wang et al. [] inves- tigated the complete convergence for arrays of ... See full document
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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation
... limit theorem under sub-linear expectation ...distributed random variables with the condition of E(|X| ˆ +α ) < ...extended negatively dependent random ... See full document
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On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables
... improve Theorem A from complete convergence to complete moment convergence for PNQD random variables under some stronger ... See full document
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On the strong convergence for weighted sums of negatively superadditive dependent random variables
... complete convergence of random variables is a very important tool in establishing almost sure ...concerning complete convergence for normed sums of random ... See full document
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A note on complete convergence of weighted sums for array of rowwise AANA random variables
... The complete convergence for an array of rowwise random variables was studied by many ...the complete convergence for an array of rowwise inde- pendent ... See full document
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The complete convergence for weighted sums of dependent random fields
... limit theorem for weakly stationary fields; Zhang and Wen [] for the Rosenthal maxi- mal inequality; Xia and Chu [] for the convergence rates in the law of iterated logarithm and the Rosenthal maximal ... See full document
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Some strong limit theorems for arrays of rowwise negatively orthant dependent random variables
... NOD random variables have been established by many ...sure convergence, Amini and Bozorgnia [10,11], Kuczmaszewska [12], Taylor et ...for complete convergence, and so ... See full document
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A note on the complete convergence for arrays of dependent random variables
... obtained complete convergence results (Theo- rems ...for negatively associated and negatively dependent ran- dom variables and then they proved the case of mean zero by using ... See full document
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Complete convergence and complete moment convergence for weighted sums of m NA random variables
... convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain some new results. These results extend and improve the corresponding theorems of Sung ... See full document
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Some strong convergence properties for arrays of rowwise ANA random variables
... some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random ... See full document
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A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
... the complete convergence for NA ran- dom variables and arrays of rowwise ND random variables under the exponential moment conditions ...ND random variables ... See full document
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The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... Lemma 3. Suppose that X 1 , , " X n , " are identically random variables with E X ( 1 ) 0 = and E X ( 1 p ) < ∞ for some p ∈ (0, 2) that satisfying in Marcinkiewicz and Zygmund’s theorem. ... See full document
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Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables
... of rowwise ρ-mixing random variables under mild ...the arrays of rowwise ρ-mixing setting are ...ρ-mixing random variables ˜ is ...for complete convergence ... See full document
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On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... For arrays of rowwise independent random variables, complete convergence has been extensively investigated see, ...Recently, complete convergence for arrays ... See full document
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Strong convergence results for arrays of rowwise pairwise NQD random variables
... of complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables are presented without assumption of identical ...independent ... See full document
8
On the complete convergence for weighted sums of a class of random variables
... Many dependent sequences satisfy the Rosenthal type ...a negatively associated sequence; Utev and Peligrad [] for a ρ-mixing sequence; Shen ˜ [] and Stout [] for an extended negatively ... See full document
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Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Mixing Random Variables
... The complete moment convergence of weighted sums for arrays of rowwise ϕ-mixing random variables is ...for complete moment convergence of ... See full document
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