References
- Azevedo, C., and P. E. Oliveira. 2000. Kernel-type estimation of bivariate distribution function for associated random variables. New Trends in Probability and Statistics Vol. 5, Proceedings of the 6th Tartu Conference, VSP, 17–25.
- Chen, M., H. Chen, Z. Wang, Z. Lu, and X. Wang. 2020. Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables. Communications in Statistics - Theory and Methods 49 (5):1158–73. doi:https://doi.org/10.1080/03610926.2018.1554136.
- Christofides, T. C., and E. Vaggelatou. 2004. A connection between supermodular ordering and positive/negative association. Journal of Multivariate Analysis 88 (1):138–51. doi:https://doi.org/10.1016/S0047-259X(03)00064-2.
- Cong, S. T., M. Tran, and D. V. Le. 2020. On the almost sure convergence for sums of negatively superadditive dependent random vectors in Hilbert spaces and its application. Communications in Statistics - Theory and Methods 49 (11):2770–86. doi:https://doi.org/10.1080/03610926.2019.1584304.
- Donsker, M. D. 1951. An invariance principle for certain probability limit theorems. Memoirs of the American Mathematical Society 6: 1–12.
- Henriques, C., and P. E. Oliveira. 2003. Estimation of a two dimensional distribution function under association. Journal of Statistical Planning and Inference 113 (1):137–50. doi:https://doi.org/10.1016/S0378-3758(01)00296-8.
- Henriques, C., and P. E. Oliveira. 2008. Strong convergence rates for the estimation of a covariance operator for associated samples. Statistical Inference for Stochastic Processes 11 (1):77–91. doi:https://doi.org/10.1007/s11203-006-9007-3.
- Hoeffding, W. 1963. Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association 58 (301):13–30. doi:https://doi.org/10.1080/01621459.1963.10500830.
- Hu, T. Z. 2000. Negatively superadditive dependence of random variables with applications. Chinese Journal of Applied Probability Statistics 16:133–44.
- Jabbari, H. 2009. Almost sure convergence of kernel bivariate distribution function estimator under negative association. Journal of Statistical Research of Iran 6:243–55.
- Jabbari, H., and H. A. Azarnoosh. 2006. Almost sure convergence rates for the estimation of a covariance operator for negatively associated samples. Journal of Iranian Statistical Society 5 (1-2):53–67.
- Kheyri, A., M. Amini, H. Jabbari, and A. Bozorgnia. 2019a. Convergence rate for estimator of distribution function under NSD assumption with an application. Journal of the Iranian Statistical Society 18 (2):21–37. doi:https://doi.org/10.29252/jirss.18.2.21.
- Kheyri, A., M. Amini, H. Jabbari, and A. Bozorgnia. 2019b. Kernel density estimation under negative superadditive dependence and its application for real data. Journal of Statistical Computation and Simulation 89 (12):2373–92. doi:https://doi.org/10.1080/00949655.2019.1619738.