1 |
X. Wang, X. Deng, L. Zheng, and S. Hu, Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications, Statistics 48 (2014), no. 4, 834-850. https://doi.org/10.1080/02331888.2013.800066
DOI
|
2 |
X.Wang, A. Shen, Z. Chen, and S. Hu, Complete convergence for weighted sums of NSD random variables and its application in the EV regression model, TEST 24 (2015), no. 1, 166-184. https://doi.org/10.1007/s11749-014-0402-6
DOI
|
3 |
K. Joag-Dev and F. Proschan, Negative association of random variables, with applications, Ann. Statist. 11 (1983), no. 1, 286-295. https://doi.org/10.1214/aos/1176346079
DOI
|
4 |
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 (1977), no. 4, 313-331.
DOI
|
5 |
B. Meng, D. Wang, and Q. Wu, Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables, Comm. Statist. Theory Methods 47 (2018), no. 16, 3910-3922. https://doi.org/10.1080/03610926.2017.1364391
DOI
|
6 |
H. Naderi, M. Amini, and A. Bozorgnia, On the rate of complete convergence for weighted sums of NSD random variables and an application, Appl. Math. J. Chinese Univ. Ser. B 32 (2017), no. 3, 270-280. https://doi.org/10.1007/s11766-017-3437-0
DOI
|
7 |
Y. Shen, X. Wang, W. Yang, and S. Hu, Almost sure convergence theorem and strong stability for weighted sums of NSD random variables, Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 4, 743-756. https://doi.org/10.1007/s10114-012-1723-6
DOI
|
8 |
A. Shen, M. Xue, and A. Volodin, Complete moment convergence for arrays of rowwise NSD random variables, Stochastics 88 (2016), no. 4, 606-621. https://doi.org/10.1080/17442508.2015.1110153
DOI
|
9 |
A. Shen, Y. Zhang, and A. Volodin, Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables, Metrika 78 (2015), no. 3, 295-311. https://doi.org/10.1007/s00184-014-0503-y
DOI
|
10 |
Y. S. Chow, On the rate of moment convergence of sample sums and extremes, Bull. Inst. Math. Acad. Sinica 16 (1988), no. 3, 177-201.
|
11 |
T. C. Christofides and E. Vaggelatou, A connection between supermodular ordering and positive/negative association, J. Multivariate Anal. 88 (2004), no. 1, 138-151. https://doi.org/10.1016/S0047-259X(03)00064-2
DOI
|
12 |
X. Deng, X. J. Wang, Y. Wu, and Y. Ding, Complete moment convergence and complete convergence for weighted sums of NSD random variables, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 110 (2016), no. 1, 97-120. https://doi.org/10.1007/s13398-015-0225-7
DOI
|
13 |
N. Eghbal, M. Amini, and A. Bozorgnia, Some maximal inequalities for quadratic forms of negative superadditive dependence random variables, Statist. Probab. Lett. 80 (2010), no. 7-8, 587-591. https://doi.org/10.1016/j.spl.2009.12.014
DOI
|
14 |
N. Eghbal, M. Amini, and A. Bozorgnia, On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables, Statist. Probab. Lett. 81 (2011), no. 8, 1112-1120. https://doi.org/10.1016/j.spl.2011.03.005
DOI
|
15 |
Y. Wu and D. Zhu, Convergence properties of partial sums for arrays of rowwise negatively orthant dependent random variables, J. Korean Statist. Soc. 39 (2010), no. 2, 189-197. https://doi.org/10.1016/j.jkss.2009.05.003
DOI
|
16 |
X. Wang, Y. Wu, and S. Hu, Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors, AStA Adv. Stat. Anal. 102 (2018), no. 1, 41-65. https://doi.org/10.1007/s10182-016-0286-8
DOI
|
17 |
Y. Wu, On complete moment convergence for arrays of rowwise negatively associated random variables, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM 108 (2014), no. 2, 669-681. https://doi.org/10.1007/s13398-013-0133-7
DOI
|
18 |
Y. Wu, X. Wang, and S. Hu, Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications, Appl. Math. J. Chinese Univ. Ser. B 31 (2016), no. 4, 439-457. https://doi.org/10.1007/s11766-016-3406-z
DOI
|
19 |
P. L. Hsu and H. Robbins, Complete convergence and the law of large numbers, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 25-31. https://doi.org/10.1073/pnas.33.2.25
DOI
|
20 |
S. Gan and P. Chen, On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables, Acta Math. Sci. Ser. B (Engl. Ed.) 27 (2007), no. 2, 283-290. https://doi.org/10.1016/S0252-9602(07)60027-7
DOI
|
21 |
T.-C. Hu, Negatively superadditive dependence of random variables with applications, Chinese J. Appl. Probab. Statist. 16 (2000), no. 2, 133-144.
DOI
|
22 |
T.-C. Hu and R. L. Taylor, On the strong law for arrays and for the bootstrap mean and variance, Internat. J. Math. Math. Sci. 20 (1997), no. 2, 375-382. https://doi.org/10.1155/S0161171297000483
DOI
|
23 |
K. Alam and K. M. L. Saxena, Positive dependence in multivariate distributions, Comm. Statist. A-Theory Methods 10 (1981), no. 12, 1183-1196. https://doi.org/10.1080/03610928108828102
DOI
|