Scandinavian Working Papers in Economics

Working Papers,
Lund University, Department of Economics

No 2012:14: Wavelet Improvement in Turning Point Detection using a Hidden Markov Model

Yushu Li () and Simon Reese ()
Additional contact information
Yushu Li: Department of Business and Management Science, Norwegian School of Economics
Simon Reese: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden

Abstract: The Hidden Markov Model (HMM) has been widely used in regime classification and turning point detection for econometric series after the decisive paper by Hamilton (1989). The present paper will show that when using HMM to detect the turning point in cyclical series, the accuracy of the detection will be influenced when the data are exposed to high volatilities or combine multiple types of cycles that have different frequency bands. Moreover, outliers will be frequently misidentified as turning points. The present paper shows that these issues can be resolved by wavelet multi-resolution analysis based methods. By providing both frequency and time resolutions, the wavelet power spectrum can identify the process dynamics at various resolution levels. We apply a Monte Carlo experiment to show that the detection accuracy of HMMs is highly improved when combined with the wavelet approach. Further simulations demonstrate the excellent accuracy of this improved HMM method relative to another two change point detection algorithms. Two empirical examples illustrate how the wavelet method can be applied to improve turning point detection in practice.

Keywords: HMM; turning point; wavelet; outlier

JEL-codes: C22; C38; C63

24 pages, First version: May 21, 2012. Revised: April 5, 2014.

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Published as
Yushu Li and Simon Reese, (2014), 'Wavelet Improvement in Turning Point Detection using a Hidden Markov Model', Computational Statistics, vol 29, no 6, pages 1481-1496

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