Department of Mathematics,
University of California San Diego
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PhD Dissertation Defense
Chi Zhang
UCSD
Spectral Inference for High-Dimensional Time Series
Abstract:
The contributions of this dissertation advance both the methodology and theory of modern statistical inference. On the one hand, they establish a distributional theory and resampling framework for spectral analysis in high-dimensional time series. On the other, they provide new probability and moment inequalities for quadratic forms under weak moment conditions. The combined results offer versatile tools for analyzing high-dimensional and heavy-tailed data, thereby addressing fundamental challenges in contemporary statistics.
Advisor: Professor Danna Zhang
November 25, 2025
4:00 PM
Zoom: https://ucsd.zoom.us/j/
Research Areas
Statistics****************************
