• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.507-519
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• 2012

In this paper we obtain the complete moment convergence for an array of rowwise extended negative orthant dependent random variables. By using the result we can prove the complete moment convergence for some positively orthant dependent sequence satisfying the extended negative orthant dependence.

• Journal of applied mathematics & informatics
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• v.31 no.3_4
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• pp.417-424
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• 2013

Giuliano Antonini et al.(2008) have introduced the concept of extended acceptability and the results show that the extended acceptability structure has no effect on the exponential inequality except replacing a constant M = 1 with a constant M > 0. We discuss the complete convergence for extended acceptable random variables by using the exponential inequality.

• Journal of applied mathematics & informatics
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• v.32 no.1_2
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• pp.161-169
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• 2014

We in this paper obtained the theoretical results for multivariate stochastic processes which help us to extended negatively orthant dependent(ENOD) structures among hitting times of the processes. In addition, some applications are given to illustrate these concepts.