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Estimating βββ-mixing coefficients

4 March 2011
D. McDonald
C. Shalizi
M. Schervish
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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 β\betaβ-mixing rate based on a single stationary sample path and show it is L1L_1L1​-risk consistent.

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