2011 AISTATS AISTATS 2011

Estimating beta-mixing coefficients

Abstract

The literature on statistical learning for time series assumes the asymptotic independence or “mixing” of the data-generating process. These mixing assumptions are never tested, nor are there methods for estimating mixing rates from data. We give an estimator for the beta-mixing rate based on a single stationary sample path and show it is L1-risk consistent.

🧭 Keyword Pioneer — risk consistency
🐣 Hot Topic Early Bird — statistical learning
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