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The almost sure convergence of AANA sequences in double arrays

김태성|류대희|고미화
대한수학회 (The Korean Mathematical Society)|2006.02|대한수학회보 (Bulletin of the KMS)|제43권 제1호|pp. 169-178

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참고문헌

주제분류수학

초록

Abstract

For double arrays of constants $\{a_{ni},~1\leq i \leq k_n,~n \geq 1\}$ and sequences $\{X_n, n\geq 1\}$ of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of $\sum_{i=1}^{k_n}a_{ni}X_i$ is derived.

참고문헌 (7)

  1. "On dominations between measures of dependence", pp.312~ (1987)
  2. "Extensionsof the strong law of large numbers of Marcinkiewicz and Zygmundfor dependent variables}", 71(4), pp.327~336 (1996)
  3. "The stronglaw of large numbers for weighted averages under dependenceassumptions", 9(3), pp.797~809 (1996)
  4. "Almost sure convergence theorem of weighted sums of random variables", 5(4), pp.365~ (1987)
  5. "On the strong law forasymptotically almost negatively associated random variables", 34(3), pp.979~989 (2004)
  6. "A note on the almost sureconvergence of sums of negatively dependent random variables", 15(3), pp.209~ (1992)
  7. "A note on the almost sureconvergence of sums of negatively dependent random variables", 15(3), pp.209~ (1992)

관련 논문AI추천

On the maximal inequality for AANA random variables and a strong law of large numbers고미화, 김태성대한수학회 · 대한수학회논문집2003 · 제18권 제3호On the almost sure convergence of weighted sums of negatively associated random variables박성태, 백종일, 서혜영, 정성모대한수학회 · 대한수학회논문집2005 · 제20권 제3호On complete convergence for arrays of rowwise independent random elements성수학, Manuel Ord\'o\~nez Cabrera, Tien-Chung Hu대한수학회 · 대한수학회지2007 · 제44권 제2호On the rate of complete convergence for weighted sums of arrays of random elements성수학, Andrei I. Volodin대한수학회 · 대한수학회지2006 · 제43권 제4호A weak law for weighted sums of array of row $NA$ random variablesHan-Ying Liang, Jeong Yeol Choi, Jong Il Baek대한수학회 · 대한수학회보2003 · 제40권 제2호Complete convergence for arrays of rowwise independent random variablesAndrei Volodin, Manuel Ord\'o\~nez Cabrera, Soo Hak Sung, Tien-Chung Hu대한수학회 · 대한수학회논문집2003 · 제18권 제2호

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