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Estimating the Inverse Autocorrelation Function from Outlier Contaminated Data

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Summary

We show how a number of commonly used estimates of the inverse autocorrelation function can be modified to deal with outlier contaminated data. The robust analogues of the orthogonal and interpolation based techniques appear to be new, and provide an alternative to the robust autoregressive approach. We examine the performance of these techniques in a large scale numerical experiment. This shows significant improvements in performance in outlier contaminated data when robust techniques are used. While there was no uniformly best robust technique, our experiments support the use of the autoregressive approach to avoid catastrophic reductions in performance, and robust interpolation for short series corrupted by few outliers.

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  1. Defence Research Agency, St. Andrews Road, Gt. Malvern, Worcestershire, WR14 3PS, UK

    R. H. Glendinning

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Glendinning, R.H. Estimating the Inverse Autocorrelation Function from Outlier Contaminated Data. Computational Statistics 15, 541–565 (2000). https://doi.org/10.1007/s001800000048

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