Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Weak Laws of Large Numbers for Weighted Sums of Fuzzy Random Variables

  • Hyun, Young-Nam (Ministry for Health Welfare and Family Affairs) ;
  • Kim, Yun-Kyong (Department of Information & Communication Engineering, Dongshin University) ;
  • Kim, Young-Ju (Department of Statistics, Kangwon National University) ;
  • Joo, Sang-Yeol (Department of Statistics, Kangwon National University)
  • Published : 2009.05.31
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Abstract

In this paper, we present some results on weak laws of large numbers for weighted sums of fuzzy random variables taking values in the space of fuzzy numbers of the real line R. We first give improvements of WLLN for weighted sums of convex-compactly uniformly integrable fuzzy random variables obtained by Joo and Hyun (2005). And then, we consider the case that the averages of expectations of fuzzy random variables converges. As results, WLLN for weighted sums of convexly tight or identically distributed case is obtained.

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References

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