[PDF] Top 20 Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
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Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
... the condition of uniform integrability concerning an array of constant weights is weaker than uniform integrability, and leads to Cesàro uniform integrability as a special ...case. ... See full document
9
Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Mixing Random Variables
... moment convergence of weighted sums for arrays of rowwise ϕ-mixing random variables is ...moment convergence of weighted sums for arrays of rowwise ϕ-mixing ... See full document
14
Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation
... complete convergence has a relatively complete development in probability limit ...complete convergence was raised by Hsu and Robbins [], and Chow [] established complete moment ...complete ... See full document
14
Further study of complete convergence for weighted sums of PNQD random variables
... complete convergence for weighted sums of PNQD random variables are ...complete convergence theorems previously obtained by Baum and Katz ... See full document
7
Complete convergence for Sung’s type weighted sums of END random variables
... complete convergence results for Sung’s type weighted sums of sequences of END random variables and obtains some new ...corresponding theorems of Sung (Discrete ... See full document
11
On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables
... -mixing random variables with suitable moment ...-mixing random variables, our method is simpler than that of Sung [1] even in the case α > ... See full document
16
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
14
Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables
... (i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...complete convergence for weighted sums of arrays of rowwise ρ-mixing ... See full document
14
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 ...structural theorems of ...NSD random variables under the assumption that {X i , i ... See full document
13
A note on complete convergence of weighted sums for array of rowwise AANA random variables
... dependent. Hsu and Robbins [] proved that arithmetic means of independent and iden- tically distributed (i.i.d.) random variables converges completely to the expected value if the variance of the summands ... See full document
13
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... dependent random variables. Also, we extend some theorems of Chao [6] and Thrum ...identically random variables with finite p -th absolute moment ( p ≥ 2 ) the weighted ... See full document
6
On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...complete convergence for arrays of rowwise dependent random variables has been ... See full document
12
Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... sure convergence for ρ -mixing sequences of random ...Jamison convergence theorem and the Marcinkiewicz strong law of large numbers for independent sequences of random variables to ... See full document
10
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... independent random variables. Thus, complete convergence is one of the most important problems in probability ...(i.i.d.) random variables converges completely to the expected value if ... See full document
10
The complete convergence for weighted sums of dependent random fields
... -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various limit properties), Peligrad [] ... See full document
8
Conditional convergence for randomly weighted sums of random variables based on conditional residual h integrability
... Sung et al. [] generalized the notion of h-integrability and introduced the concept of h-integrability with exponent r. They also proved that the concept of h-integrability with exponent r is ... See full document
11
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 of the sufficiency part ... See full document
10
On the Strong Laws for Weighted Sums of Mixing Random Variables
... sure convergence, Utev and Peligrad 8 have established maximal inequalities and the invariance principle, An and Yuan 9 have considered the complete convergence and Marcinkiewicz- Zygmund-type strong law of ... See full document
8
On the complete convergence for weighted sums of a class of random variables
... i.i.d. random variables, Hsu and Robbins [] proved that the sequence of arithmetic means of the random variables converges completely to the expected value if the variance of the summands is ... See full document
12
Strong convergence results for weighted sums of ρ˜ mixing random variables
... sure convergence, Peligrad and Gut [], Gan [], Cai [], Kuczmaszewska [], Zhu [], An and Yuan [] and Wang et ...complete convergence, Peligrad [] for invariance principle, Wu and Jiang [] for ... See full document
11
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