References
- Berkes, I., and E. Csáki. 2001. A universal result in almost sure central limit theory. Stochastic Processes and Their Applications 94 (1):105–34. doi: 10.1016/S0304-4149(01)00078-3.
- Brosamler, G. A. 1988. An almost everywhere central limit theorem. Mathematical Proceedings of the Cambridge Philosophical Society 104 (3):561–74. doi: 10.1017/S0305004100065750.
- Chen, S. Q., and Z. Y. Lin. 2008. Almost sure functional central limit theorems for weakly dependent sequences. Statistics & Probability Letters 78 (13):1683–93. doi: 10.1016/j.spl.2008.01.022.
- Dudley, R. M. 1989. Real analysis and probability. Pacific Grove, CA: Wadsworth & Brooks/Cole.
- Fan, J. Q., and Q. W. Yao. 2003. Nonlinear time series: Nonparametric and parametric methods. New York: Springer-Verlag.
- Fang, Y., and S. Y. Zhang. 2009. Almost sure central limit theorem in separable metric spaces. Acta Mathematica Scientia 29A (2):262–71.
- Jones, G. L. 2004. On the Markov chain central limit theorem. Probability Surveys 1:299–320. doi: 10.1214/154957804100000051.
- Lacey, M. T., and W. Philipp. 1990. A note on the almost sure central limit theorem. Statistics & Probability Letters 9 (3):201–5. doi: 10.1016/0167-7152(90)90056-D.
- Meyn, S. P., and R. L. Tweedie. 1993. Markov chains and stochastic stability. London: Springer-Verlag.
- Miao, Y. 2008. Central limit theorem and almost sure central limit theorem for the product of some partial sums. Proceedings of the Indian National Science Academy (Mathematical Sciences) 118 (2):289–94.
- Miao, Y., and X. Y. Xu. 2019. A note on the almost sure central limit theorem for the product of partial sums of m-dependent random variables. Communications in Statistics - Theory and Methods 48 (9):2102–12. doi: 10.1080/03610926.2018.1459707.
- Peligrad, M., and Q. M. Shao. 1995. A note on the almost sure central limit theorem for weakly dependent random variables. Statistics & Probability Letters 22 (2):131–6. doi: 10.1016/0167-7152(94)00059-H.
- Schatte, P. 1988. On strong versions of the central limit theorem. Mathematische Nachrichten 137 (1):249–56. doi: 10.1002/mana.19881370117.
- Wu, Q. Y. 2011. Almost sure limit theorems for stable distributions. Statistics & Probability Letters 81 (6):662–72. doi: 10.1016/j.spl.2011.02.003.
- Xu, F., and Q. Y. Wu. 2017. Almost sure central limit theorem for self-normalized partial sums of ρ−-mixing sequences. Statistics & Probability Letters 129 (1):17–27.
- Zang, Q. P. 2014. A general result in almost sure central limit theory for random fields. Statistics 48 (5):965–70. doi: 10.1080/02331888.2013.801974.
- Zhang, Y., and X. Y. Yang. 2011. An almost sure central limit theorem for self-normalized products of sums of i.i.d. random variables. Journal of Mathematical Analysis and Applications. 376 (1):29–41. doi: 10.1016/j.jmaa.2010.10.021.
- Zheng, G. Q. 2017. Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals. Stochastic Processes and Their Applications 127 (5):1622–36. doi: 10.1016/j.spa.2016.09.002.