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SLLN FOR WEIGHTED SUMS OF LEVEL-WISE INDEPENDENT FUZZY RANDOM VARIABLES

주상열
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.12|한국수학논문집 (Korean Journal of Mathematics)|제16권 제4호|pp. 537-543

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참고문헌

키워드

fuzzy random variableslevel-wise independentstrong laws of large numbersweighted sums.
주제분류수학

초록

Guan and Li [2] obtained SLLN for weighted sums of level-wise independent fuzzy random variables. In this paper, a generalization of Guan and Li [2] is obtained by using the Skorokhod metric on F(R).

Abstract

Guan and Li [2] obtained SLLN for weighted sums of level-wise independent fuzzy random variables. In this paper, a generalization of Guan and Li [2] is obtained by using the Skorokhod metric on F(R).

참고문헌 (11)

  1. A. Colubi, "A gen-eralized strong law of large numbers", Probab. Theory Rel. Fields, 114, pp.401~417 (1999)
  2. L. Guan, "Laws of large numbers for weighted sums of fuzzy set- valued random variables", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12, pp.811~825 (2004)
  3. R. Goetschel, "Elementary fuzzy calculus", Fuzzy Sets and Sys- tems, 18, pp.31~43 (1986)
  4. 주상열, "SLLN FOR WEIGHTED SUMS OF LEVEL-WISE INDEPENDENT FUZZY RANDOM VARIABLES", 한국수학논문집, 16(4), pp.537~543 (2008), 강원경기수학회
  5. SangYeolJoo, "Strong Law of Large Numbers for Tight Fuzzy Random Variables", Journal of the Korean StatisticalSociety, 31(1), pp.129~140 (2002), 한국통계학회
  6. S. Y. Joo, "A strong law of large numbers for stationary fuzzy random variables", Jour. Korean Statist. Soc, 30, pp.153~161 (2001)
  7. S. Y. Joo, "The Skorokhod topology on the space of fuzzy numbers", Fuzzy Sets and Systems, 246, pp.576~590 (2000)
  8. S. Y. Joo, "Kolmogorov's strong law of large numbers for fuzzy random variables", Fuzzy Sets and Systems, 120, pp.499~503 (2001)
  9. E. P. Klement, "Limit theorems for fuzzy random variables", Proc. Roy. Soc. Lond. Ser. A, 407, pp.171~182 (1986)
  10. I. Molchanov, "On strong law of large numbers for random upper semicontinuous functions", J. Math. Anal. Appl, 235, pp.349~355 (1999)
  11. V. K. Rohatgi, "Convergence of weighted sums of independent random variables", Proc. Cambridge Philos. Soc, 69, pp.305~307 (1971)

관련 논문AI추천

SLLN FOR INDEPENDENT FUZZY RANDOM VARIABLES주상열, 현영남강원경기수학회 · 한국수학논문집2008 · 제16권 제4호Some notes on strong law of large numbers for Banach space valued fuzzy random variables김윤경, 김주목강원경기수학회 · 한국수학논문집2013 · 제21권 제4호Some results on convergence in distribution for fuzzy randomsetsGyeong Suk Choi, Joong Sung Kwon, Sang Yeol Joo, Yun Kyong Kim대한수학회 · 대한수학회지2005 · 제42권 제1호Strong laws of large numbers for random upper-semicontinuous fuzzy sets김윤경대한수학회 · 대한수학회보2002 · 제39권 제3호On the complete convergence for weighted sums of dependent random variables under condition of weighted integrabilityJong-Il Baek, Mi-Hwa Ko, Tae-Sung Kim대한수학회 · 대한수학회지2008 · 제45권 제4호Weak laws of large numbers for arrays under a condition of uniform integrability성수학, Andrei Volodin, Supranee Lisawadi대한수학회 · 대한수학회지2008 · 제45권 제1호

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