References
- Chow, Y. S. 1988. On the rate of moment convergence of sample sums and extremes. Bulletin Institute of Mathematics Academia Sinica 16 (3):177–201.
- Erdös, P. 1949. On a theorem of Hsu and Robbins. Annals of Mathematical Statistics 20 (2):286–91.
- Fan, Y. 1990. Consistent nonparametric multiple regression for dependent heterogeneous processes: The fixed design case. Journal of Multivariate Analysis 33 (1):72–88. doi:https://doi.org/10.1016/0047-259X(90)90006-4.
- Georgiev, A. A. 1985. Local properties of function fitting estimates with applications to system identification. In Mathematical statistics and applications. Vol. B, Proceedings 4th Pannonian Symposium on Mathematical Statistics, 4–10 September 1983, ed. W. Grossmann, 141–51. Austria: Bad Tatzmannsdorf; Dordrecht: Reidel.
- Hsu, P. L., and H. Robbins. 1947. Complete convergence and the law of large numbers. Proceedings of the National Academy of Sciences of the United States of America 33 (2):25–31. doi:https://doi.org/10.1073/pnas.33.2.25.
- Hu, S. H., C. H. Zhu, Y. B. Chen, and L. C. Wang. 2002. Fixed-design regression for linear time series. Acta Mathematica Scientia 22 (1):9–18. doi:https://doi.org/10.1016/S0252-9602(17)30450-2.
- Joag-Dev, K., and F. Proschan. 1983. Negative association of random variables with applications. The Annals of Statistics 11 (1):286–95. doi:https://doi.org/10.1214/aos/1176346079.
- Lehmann, E. 1966. Some concepts of dependence. The Annals of Mathematical Statistics 37 (5):1137–53. doi:https://doi.org/10.1214/aoms/1177699260.
- Liang, H. Y., and J.-I. Baek. 2016. Asymptotic normality of conditional density estimation with left truncated and dependent data. Statistical Papers 57 (1):1–20. doi:https://doi.org/10.1007/s00362-014-0635-1.
- Liang, H. Y., and B. Y. Jing. 2005. Asymptotic properties for estimates of nonparametric regression models based on negatively associated sequences. Journal of Multivariate Analysis 95 (2):227–45. doi:https://doi.org/10.1016/j.jmva.2004.06.004.
- Liu, L. 2009. Precise large deviations for dependent random variables with heavy tails. Statistics & Probability Letters 79 (9):1290–98. doi:https://doi.org/10.1016/j.spl.2009.02.001.
- Roussas, G. G. 1989. Consistent regression estimation with fixed design points under dependence conditions. Statistics & Probability Letters 8 (1):41–50. doi:https://doi.org/10.1016/0167-7152(89)90081-3.
- Roussas, G. G., L. T. Tran, and D. A. Ioannides. 1992. Fixed design regression for time series: Asymptotic normality. Journal of Multivariate Analysis 40 (2):262–91. doi:https://doi.org/10.1016/0047-259X(92)90026-C.
- Shen, A. T., Y. Zhang, and A. Volodin. 2015. Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Metrika 78 (3):295–311. doi:https://doi.org/10.1007/s00184-014-0503-y.
- Stone, C. J. 1977. Consistent nonparametric regression. The Annals of Statistics 5 (4):595–645. doi:https://doi.org/10.1214/aos/1176343886.
- Tran, L., G. Roussas, S. Yakowitz, and B. Truong Van. 1996. Fixed-design regression for linear time series. The Annals of Statistics 24 (3):975–91. doi:https://doi.org/10.1214/aos/1032526952.
- Wang, X. J., and Z. Y. Si. 2015. Complete consistency of the estimator of nonparametric regression model under ND sequence. Statistical Papers 56 (3):585–96. doi:https://doi.org/10.1007/s00362-014-0598-2.
- Wang, X. J., S. J. Wang, S. H. Hu, J. M. Ling, and Y. F. Wei. 2013. On complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables. Stochastics 85 (6):1060–72. doi:https://doi.org/10.1080/17442508.2012.736996.
- Wang, X. J., Y. Wu, and S. H. Hu. 2016. Exponential probability inequality for m-END random variables and its applications. Metrika 79 (2):127–47. doi:https://doi.org/10.1007/s00184-015-0547-7.
- Wang, X. J., C. Xu, T.-C. Hu, A. Volodin, and S. H. Hu. 2014. On complete convergence for widely orthant dependent random variables and its applications in nonparametric regression models. TEST 23 (3):607–29. doi:https://doi.org/10.1007/s11749-014-0365-7.
- Yang, S. C. 2003. Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples. Statistics & Probability Letters 62 (2):101–10. doi:https://doi.org/10.1016/S0167-7152(02)00427-3.
- Yang, W. Z., X. J. Wang, X. H. Wang, and S. H. Hu. 2012. The consistency for estimator of nonparametric regression model based on NOD errors. Journal of Inequalities and Applications 2012 (1):140. doi:https://doi.org/10.1186/1029-242X-2012-140.
- Yang, W. Z., H. Y. Xu, L. Chen, and S. H. Hu. 2018. Complete consistency of estimators for regression models based on extended negatively dependent errors. Statistical Papers 59 (2):449–65. doi:https://doi.org/10.1007/s00362-016-0771-x.