A Novel Correction for the Adjusted Box-Pierce Test

A Novel Correction for the Adjusted Box-Pierce Test

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The classical Box-Pierce and Ljung-Box tests for auto-correlation of residuals possess severe deviations from nominal type I error rates.Previous studies have attempted to address this issue by either revising existing tests or designing new techniques.The Adjusted Box-Pierce achieves read more the best results with respect to attaining type I error rates closer to nominal values.This research paper proposes a further correction to the adjusted Box-Pierce test that possesses near perfect type I error rates.

The approach is based on an inflation of the rejection chervo jacke herren region for all sample sizes and lags calculated via a linear model applied to simulated data that encompasses a large range of data scenarios.Our results show that the new approach possesses the best type I error rates of all goodness-of-fit time series statistics.