Concentration inequalities for statistical inference

H Zhang, SX Chen - arXiv preprint arXiv:2011.02258, 2020 - arxiv.org
This paper gives a review of concentration inequalities which are widely employed in non-
asymptotical analyses of mathematical statistics in a wide range of settings, from distribution …

Oracle Inequality for Sparse Trace Regression Models with Exponential β-mixing Errors

L Peng, XY Tan, PW Xiao, Z Rizk, XH Liu - Acta Mathematica Sinica …, 2023 - Springer
In applications involving, eg, panel data, images, genomics microarrays, etc., trace
regression models are useful tools. To address the high-dimensional issue of these …

The EAS approach for graphical selection consistency in vector autoregression models

JP Williams, Y Xie, J Hannig - Canadian Journal of Statistics, 2023 - Wiley Online Library
As evidenced by various recent and significant papers within the frequentist literature, along
with numerous applications in macroeconomics, genomics, and neuroscience, there …

High-dimensional inference for linear model with correlated errors

P Yuan, X Guo - Metrika, 2022 - Springer
Temporally correlated error process is commonly encountered in practice and poses
significant challenges in high-dimensional statistical analysis. This paper conducts low …

Lasso regression in sparse linear model with -mixing errors

L Peng, Y Zhu, W Zhong - Metrika, 2023 - Springer
This paper investigates the Lasso method for sparse linear models with exponential φ-
mixing errors under a fixed design, where the number of covariates p is large, or even much …