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On the convergence of series for rowwise sums of negatively superadditive dependent random variables
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In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
Abstract
In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
참고문헌 (23)
- Alam Khursheed, "Positive dependence in multivariate distributions", Communications in Statistics - Theory and Methods, 10(12), pp.1183~1196 (2007), Informa UK Limited[DOI]
- Y. S. Chow, "On the rate of moment convergence of sample sums and extremes", Bull. Inst. Math. Acad. Sinica, 16(3), pp.177~201 (1988)
- Tasos C. Christofides, "A connection between supermodular ordering and positive", negative association, 2004, pp.88(1), 138~151[DOI]
- Xin Deng, "Complete moment convergence and complete convergence for weighted sums of NSD random variables", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 110(1), pp.97~120 (2016), Springer Science and Business Media LLC[DOI]
- N. Eghbal, "Some maximal inequalities for quadratic forms of negative superadditive dependence random variables", Statistics & Probability Letters, 80(7-8), pp.587~591 (2010), Elsevier BV[DOI]
- N. Eghbal, "On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables", Statistics & Probability Letters, 81(8), pp.1112~1120 (2011), Elsevier BV[DOI]
- Shixin Gan, "On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables", Acta Mathematica Scientia, 27(2), pp.283~290 (2007), Elsevier BV[DOI]
- P. L. Hsu, "Complete Convergence and the Law of Large Numbers", Proceedings of the National Academy of Sciences, 33(2), pp.25~31 (1947), Proceedings of the National Academy of Sciences[DOI]
- T. -C. Hu, "Negatively superadditive dependence of random variables with applications", Chinese J. Appl. Probab. Statist, 16(2), pp.133~144 (2000)
- Tien-Chung Hu, "On the strong law for arrays and for the bootstrap mean and variance", International Journal of Mathematics and Mathematical Sciences, 20(2), pp.375~382 (1997), Hindawi Limited[DOI]
- K. Joag-Dev, "Negative association of random variables, with ap-plications", Ann. Statist, 11(1), pp.286~295 (1983)[DOI]
- J. H. B. Kemperman, "On the FKG-inequality for measures on a partially ordered space", Nederl. Akad. Wetensch. Proc. Ser. A 80=Indag. Math, 39(4), pp.313~331 (1977)
- Bing Meng, "Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables", Communications in Statistics - Theory and Methods, 47(16), pp.3910~3922 (2017), Informa UK Limited[DOI]
- Habib Naderi, "On the rate of complete convergence for weighted sums of NSD random variables and an application", Applied Mathematics-A Journal of Chinese Universities, 32(3), pp.270~280 (2017), Springer Science and Business Media LLC[DOI]
- Yan Shen, "Almost sure convergence theorem and strong stability for weighted sums of NSD random variables", Acta Mathematica Sinica, English Series, 29(4), pp.743~756 (2013), Springer Science and Business Media LLC[DOI]
- Aiting Shen, "Complete moment convergence for arrays of rowwise NSD random variables", Stochastics, 88(4), pp.606~621 (2015), Informa UK Limited[DOI]
- Aiting Shen, "Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables", Metrika, 78(3), pp.295~311 (2015), Springer Science and Business Media LLC[DOI]
- Xuejun Wang, "Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications", Statistics, 48(4), pp.834~850 (2013), Informa UK Limited[DOI]
- Xuejun Wang, "Complete convergence for weighted sums of NSD random variables and its application in the EV regression model", TEST, 24(1), pp.166~184 (2015), Springer Science and Business Media LLC[DOI]
- Xuejun Wang, "Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors", AStA Advances in Statistical Analysis, 102(1), pp.41~65 (2018), Springer Science and Business Media LLC[DOI]
- Yongfeng Wu, "On complete moment convergence for arrays of rowwise negatively associated random variables", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 108(2), pp.669~681 (2014), Springer Science and Business Media LLC[DOI]
- Yi Wu, "Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications", Applied Mathematics-A Journal of Chinese Universities, 31(4), pp.439~457 (2016), Springer Science and Business Media LLC[DOI]
- Yong-Feng Wu, "Convergence properties of partial sums for arrays of rowwise negatively orthant dependent random variables", Journal of the Korean Statistical Society, 39(2), pp.189~197 (2010), 한국통계학회
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