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Activity Number: 221 - Analysis of Big Dynamically Dependent Data
Type: Invited
Date/Time: Monday, July 30, 2018 : 2:00 PM to 3:50 PM
Sponsor: Business and Economic Statistics Section
Abstract #326532
Title: Statistical Inference for High-Dimensional Time Series
Author(s): Ruey S Tsay*
Companies: University of Chicago, Booth School of Business
Keywords: Serial correlation; Spatial statistics; Time series ; Principal component analysis; Random matrix theory

This talk focuses on statistical inference when the dimension and sample size of multiple time series go to infinity. The serial dependence of the data can affect the asymptotic properties of commonly used statistics and leads to erroneous inference. We use simple examples to demonstrate the impact of serial dependence and increase in dimension on estimating autoregressive models, on eigenanalysis of covariance matrix, and canonical correlation analysis of functions of high-dimensional time series. We then investigate proper adjustments needed to derive the limiting distributions for statistics of interest. Simulation is used to examine the finite sample performance of the statistics and real examples are used to show the applications of high-dimensional time series. This talk is based on joint research with several co-authors, including Yuefeng Han and W.B. Wu (University of Chicago), S. Ling (HKST), and R. Chen (Rutgers).

Authors who are presenting talks have a * after their name.

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