Berry-Esseen bounds are generalized via Stein's method to statistics of non-stationary phi-mixing sequences with polynomial mixing rates.
Covariance inequalities for strongly mixing processes
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Berry-Esseen Bounds for Statistics of Non-Stationary, $\phi$-Mixing Random Variables
Berry-Esseen bounds are generalized via Stein's method to statistics of non-stationary phi-mixing sequences with polynomial mixing rates.