Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Limit Theorems for Banach Space Valued Random Vectors

  • Dug Hun Hong (Department of Statistics, Hyosung Women's University, Kyungbuk, 713-702, KOREA) ;
  • Seok Yoon Hwang (Department of Mathematics, Taegu University, Kyungbuk, 713-714, KOREA)
  • Published : 1995.04.01
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Abstract

The purpose of this paper is to generalize Hyede's(1969) results in Banach spaces of R-type 2.

Keywords

References

  1. Probability Breiman,L.
  2. Bullentin of Australian Mathmeatical Society v.37 On Chung's strong law of large numbers in general Banach spaces Choi,B.D.;Sung,S.H.
  3. American Journal of Mathematical Society v.68 A limit Theorem for random variables with infinite moments Feller,W.
  4. An introduction to probability theory and its application, Ⅱ Feller,W.
  5. Limit distributions for sums of independent random variables Gnedenko,B.V.;Kolmogrov,A.N.
  6. Proceeding American Mathematical Society v.23 A note concerning behavior of iterated logarithm type Heyde,C.C.
  7. Theory of Probability and its Application v.28 Sums of random vecters with values in Hilbert space Vvedenskaya,E.R.
  8. Theory of Probability and its Application v.30 On the limit bebavior of sums of random vectors with values in Hilbert space Vvedenskaya,E.R.
  9. Probability and Mathematical Statistics v.1 On Marcinkiewicz-Zigmund laws of large numbers in Banach spaces and related rates of convergence Woyczynski,W.A.