ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY

Title & Authors
ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY
Baek, Jong-Il; Ko, Mi-Hwa; Kim, Tae-Sung;

Abstract
Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
Keywords
complete convergence;strong law of large numbers;h-integrability;asymptotically almost negative associated;negatively quadrant dependent$\small{{\varphi}}$-mixing;
Language
English
Cited by
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2.
Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables, Theory of Probability & Its Applications, 2015, 59, 2, 344
3.
Some limit theorems for arrays of rowwise pairwise NQD random variables, Теория вероятностей и ее применения, 2014, 59, 2, 400
4.
On convergence for sequences of pairwise negatively quadrant dependent random variables, Applications of Mathematics, 2014, 59, 4, 473
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