Central limit theorems for high dimensional dependent data
Author:
Affiliation:
1. Joint Laboratory of Data Science and Business Intelligence, Southwestern University of Finance and Economics, Chengdu, China
2. Department of Mathematics, University of Southern California, Los Angeles, CA, USA
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference68 articles.
1. Bentkus, V. (2003). On the dependence of the Berry-Esseen bound on dimension. J. Statist. Plann. Inference 113 385–402. 10.1016/S0378-3758(02)00094-0
2. Raič, M. (2019). A multivariate Berry-Esseen theorem with explicit constants. Bernoulli 25 2824–2853. 10.3150/18-BEJ1072
3. van der Vaart, A.W. (1998). Asymptotic Statistics. Cambridge Series in Statistical and Probabilistic Mathematics 3. Cambridge: Cambridge Univ. Press. 10.1017/CBO9780511802256
4. Wainwright, M.J. (2019). High-Dimensional Statistics: A Non-asymptotic Viewpoint. Cambridge Series in Statistical and Probabilistic Mathematics 48. Cambridge: Cambridge Univ. Press. 10.1017/9781108627771
5. Hörmann, S. (2009). Berry-Esseen bounds for econometric time series. ALEA Lat. Am. J. Probab. Math. Stat. 6 377–397.
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