Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

Wavelet improvement in turning point detection using a hidden Markov model: from the aspects of cyclical identification and outlier correction

Författare

Summary, in English

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 (Econometrica 57(2):357–384, 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.

Publiceringsår

2014

Språk

Engelska

Sidor

1481-1496

Publikation/Tidskrift/Serie

Computational Statistics

Volym

29

Issue

6

Dokumenttyp

Artikel i tidskrift

Förlag

Physica Verlag

Ämne

  • Economics

Nyckelord

  • HMM
  • Turning point
  • Wavelet
  • Wavelet power spectrum
  • Outlier

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0943-4062