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On the Use of Stochastic Complexity in Spectral Analysis of Radial Velocity Data

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Advances in Intelligent Control Systems and Computer Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 187))

Abstract

The periodogram and its variants have been extensively used in the past for estimating the power spectral density. In this book chapter, we consider the case when the measurements are not equidistantly spaced on the time-axis, and we focus on testing the significance of the periodogram peaks. Because it is known that the standard tests of hypothesis testing are not suitable for this problem, we propose the use of Stochastic Complexity (SC). The performance of SC is evaluated in comparison with the Bayesian Information Criterion (BIC), which has been employed in the previous literature to solve the same problem. The numerical experiments on radial velocity measurements demonstrate that SC compares favorably with BIC.

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Author information

Authors and Affiliations

  1. Department of Signal Processing, Tampere University of Technology, P.O. Box 553, FIN-33101, Tampere, Finland

    Vili Forsell

  2. Helsinki Institute for Information Technology, HIIT, University of Helsinki, P.O. Box 68, FIN-00014, Helsinki, Finland

    Ciprian Doru Giurcăneanu

Authors
  1. Vili Forsell
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  2. Ciprian Doru Giurcăneanu
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Correspondence to Vili Forsell .

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Editors and Affiliations

  1. , Control Engineering and Comp.Sci., University "POLITEHNICA" of Bucharest, Splaiul Independentei 313, Bucharest, 060042, Romania

    Loan Dumitrache

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Forsell, V., Giurcăneanu, C.D. (2013). On the Use of Stochastic Complexity in Spectral Analysis of Radial Velocity Data. In: Dumitrache, L. (eds) Advances in Intelligent Control Systems and Computer Science. Advances in Intelligent Systems and Computing, vol 187. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32548-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-32548-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32547-2

  • Online ISBN: 978-3-642-32548-9

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