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Convergence properties of the partial sums for sequences of end random variables

Yong-Feng Wu|Mei Guan
대한수학회 (The Korean Mathematical Society)|2012.11|대한수학회지 (Journal of the KMS)|제49권 제6호|pp. 1097-1110

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참고문헌

키워드

weak law of large numberscomplete convergenceextended negative dependence random sequencesp-mean convergenceuniform integrability.
주제분류수학

초록

The convergence properties of extended negatively depen-dent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the p-mean convergence and the complete convergence for extended negatively depen-dent sequences are obtained, which extend and enrich the known results in the literature.

Abstract

The convergence properties of extended negatively depen-dent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the p-mean convergence and the complete convergence for extended negatively depen-dent sequences are obtained, which extend and enrich the known results in the literature.

참고문헌 (15)

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  7. 고미화, "Strong laws of large numbers for weighted sums of negatively dependent random variables", 대한수학회지, 43(6), pp.1325~1338 (2006), 대한수학회
  8. 고미화, "Almost sure convergence for weighted sums of negatively orthant dependent random variables", 대한수학회지, 42(5), pp.949~957 (2005), 대한수학회
  9. B. Ko, "Sums of dependent nonnegative random variables with subexpo- nential tails", J. Appl. Probab, 45(1), pp.85~94 (2008)
  10. L. Liu, "Precise large deviations for dependent random variables with heavy tails", Statist. Probab. Lett, 79(9), pp.1290~1298 (2009)
  11. R. Pyke, "On convergence in r-mean of normalized partial sums", Ann. Math. Statist, 32(9), pp.379~381 (1968)
  12. 성수학, "Weak laws of large numbers for arrays under a condition of uniform integrability", 대한수학회지, 45(1), pp.289~300 (2008), 대한수학회
  13. R. L. Taylor, "Weak laws of large numbers for arrays of rowwise negatively dependent random variables", J. Appl. Math. Stochastic Anal, 14(3), pp.227~236 (2001)
  14. R. L. Taylor, "A strong law of large numbers for arrays of rowwise negatively dependent random variables", Stochastic Anal. Appl, 20(3), pp.643~656 (2002)
  15. Q. Y. Wu, "On some limit theorems for sums of NA random matrix sequences", Chin. J. Appl. Probab. Stat, 22(1), pp.56~62 (2006)

관련 논문AI추천

On the complete convergence for arrays of rowwise extended negatively dependent random variablesAndrei Volodin, Dehua Qiu, Pingyan Chen, Rita Giuliano Antonini대한수학회 · 대한수학회지2013 · 제50권 제2호Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2019 · 제56권 제4호Weak laws of large numbers for arrays under a condition of uniform integrability성수학, Andrei Volodin, Supranee Lisawadi대한수학회 · 대한수학회지2008 · 제45권 제1호On the convergence of series for rowwise sums of negatively superadditive dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2020 · 제57권 제3호STRONG STABILITY OF A TYPE OF JAMISON WEIGHTED SUMS FOR END RANDOM VARIABLESJigao Yan대한수학회 · 대한수학회지2017 · 제54권 제3호On the strong law of large numbers for weighted sums of negatively superadditive dependent random variablesAiting Shen대한수학회 · 대한수학회지2016 · 제53권 제1호

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