• Title/Summary/Keyword: Positively orthant dependence

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THE COMPLETE MOMENT CONVERGENCE FOR ARRAY OF ROWWISE ENOD RANDOM VARIABLES

  • Ryu, Dae-Hee
    • Honam Mathematical Journal
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    • v.33 no.3
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    • pp.393-405
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    • 2011
  • 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.

A NOTE ON COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

  • Kim, Hyun-Chull
    • 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.

ON THE WEAKLY POSITIVE ORTHANT DEPENDENCE ORDERING

  • Baek, Jong-Il;Seok, Eun-Yang
    • Journal of applied mathematics & informatics
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    • v.7 no.3
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    • pp.1059-1068
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    • 2000
  • In this paper we introduce a new concept of weakly positive upper orthant dependence POD of hitting times of stochastic processes. This concept is weaker than the positively orthant dependent and it is closed under a certain statistical operations of W POD ordering. Examples are given to illustrate these concepts.