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Almost sure convergence for weighted sums of negatively orthant dependent random variables

김태성|고미화
대한수학회 (The Korean Mathematical Society)|2005.09|대한수학회지 (Journal of the KMS)|제42권 제5호|pp. 949-957

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참고문헌

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Abstract

For weighted sum of a sequence {X,X_n ,n geq 1 } of identically distributed, negativelyorthant dependent random variables suchthat |X|^r , r>0, has a finite moment generating function, a strong law of large numbers is established.

참고문헌 (10)

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  2. "Extensions of the strong law oflarge numbers of Marcinkiewicz and Zygmund for dependent randomvariables", 71, pp.327~ (1996)
  3. "Almost sure convergence of weightedsums of NA sequences", 3, pp.11~ (1998)
  4. "Limiting behavior of weighted sumsof independent random variables", 1, pp.810~ (1973)
  5. "A strong law for weighted sums of i.i.d. randomvariables", 8, pp.625~ (1995)
  6. "Multivariate Negative Dependence", 10, pp.307~ (1981)
  7. "Some Concepts of Dependence", 43, pp.1137~ (1966)
  8. "A note on the almost sure convergence of sums ofnegatively dependent random variables", 15, pp.209~ (1992)
  9. "Limit theorems for sums and maxima of pairwisenegative quadrant dependent random variables Syst.", 8, pp.251~253 (1995)
  10. "Almost certain convergence in double arrays", 69, pp.331~ (1985)

관련 논문AI추천

On the almost sure convergence of weighted sums of negatively associated random variables박성태, 백종일, 서혜영, 정성모대한수학회 · 대한수학회논문집2005 · 제20권 제3호Strong laws of large numbers for weighted sums of negatively dependent random variables고미화, 김태성, 한광희대한수학회 · 대한수학회지2006 · 제43권 제6호Convergence of weighted sums for dependent random variablesDong-Xia Zhang, Han-Ying Liang, Jong-Il Baek대한수학회 · 대한수학회지2004 · 제41권 제5호On the weak law for weighted sums indexed by random variables under negatively associated arraysDong-Myong Lee, Jong-Il Baek대한수학회 · 대한수학회논문집2003 · 제18권 제1호On the complete convergence for arrays of rowwise extended negatively dependent random variablesAndrei Volodin, Dehua Qiu, Pingyan Chen, Rita Giuliano Antonini대한수학회 · 대한수학회지2013 · 제50권 제2호Almost sure convergence for linear process generated by asymptotically linear negative quadrant dependence processesGuang-hui Cai대한수학회 · 대한수학회논문집2005 · 제20권 제1호

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