Communications for Statistical Applications and Methods

  • 제7권1호
  • /
  • Pages.291-296
  • /
  • 2000
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

On the strong law of large numbers for pairwise negative quadrant dependent random variables

  • T. S. (Professor, Division of Mathematical Science WonKwang University) ;
  • J. I. (Assistant Professor Division of Mathematical Science WonKwang University) ;
  • H. Y. (Lecturer, Division of Mathematical Science WonKwang University)
  • 발행 : 2000.04.01
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초록

Petrov(1996) examined the connection between general moment conditions and the applicability of the strong law lf large numbers to a sequence of pairwise independnt and identically distributed random variables. In this note wee generalize Theorem 1 of Petrov(1996) and also show that still holds under assumption of pairwise negative quadrant dependence(NQD).

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참고문헌

  1. Gebiete v.55 An elementary proof of the strong law of large numbers Etemadi, N.
  2. Annals of Mathematical Statistics v.37 Some concepts of dependence Lehman, E.L.
  3. Probability Theory(3rd ed.) Loeve, M.
  4. Statistics and Probability Letters v.25 On the strong law of large numbers for sums of pairwise independent random variable Martikainen
  5. Statistics and Probability Letters v.15 A note on the almost sure convergence of the sums of negatively dependent random variables Matula, P.
  6. Limit thorems for sums of independent random variables Petrov, V.V.
  7. Statistics and Probability Letters v.26 On the strong law of large numbers Petrov, V.V.
  8. Aomost Sure Convergence Stout, W.F.