• 제목/요약/키워드: convergence society

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THE COMPLETE MOMENT CONVERGENCE FOR ARRAY OF ROWWISE ENOD RANDOM VARIABLES

  • Ryu, Dae-Hee
    • 호남수학학술지
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    • 제33권3호
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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.

DEFERRED INVARIANT STATISTICAL CONVERGENCE OF ORDER 𝜂 FOR SET SEQUENCES

  • Gulle, Esra
    • 호남수학학술지
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    • 제44권1호
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    • pp.110-120
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    • 2022
  • In this paper, we introduce the concepts of Wijsman invariant statistical, Wijsman deferred invariant statistical and Wijsman strongly deferred invariant convergence of order 𝜂 (0 < 𝜂 ≤ 1) for set sequences. Also, we investigate some properties of these concepts and some relationships between them.

THE N-TH PRETOPOLOGICAL MODIFICATION OF CONVERGENCE SPACES

  • Park, Sang-Ho
    • 대한수학회논문집
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    • 제11권4호
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    • pp.1087-1094
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    • 1996
  • In this paper, we introduce the notion of the n-th pretopological modification. Also, we find some properties which hold between convergence quotient maps and n-th pretopological modifications.

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SEMI-CONVERGENCE OF p-STACKS

  • Min, Won-Keun
    • 대한수학회논문집
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    • 제18권3호
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    • pp.533-540
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    • 2003
  • We introduce the notion of semi-convergence of p-stacks and by using that notion we characterize the semi-interior, semiclosure, separation axioms and semi-continuity on a topological space. Also we introduce a new notion of p-somicompactness and investigate its properties in terms of semi-convergence of p-stacks.

A Weak Convergence Theorem for Mixingale Arrays

  • Hong, Dug-Hun;Kim, Hye-Kyung;Kim, Ju-Young
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.273-280
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    • 1995
  • This paper gives a generalization of an $L_1$-convergence theorem for dependent processes due to Andrews (1988) and also a probability convergence theorem.

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