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

作者: Vili Forsell , Ciprian Doru Giurcăneanu

DOI: 10.1007/978-3-642-32548-9_1

关键词: Statistical hypothesis testingSpectral analysisStochastic complexityRadial velocityComputer scienceMathematical optimizationAlgorithmFocus (optics)Spectral densityBayesian information criterionPeriodogram

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

参考文章(47)
P. G. Stoica, Randolph L. Moses, Spectral analysis of signals ,(2005)
R. E. Nather, S. O. Kepler, E. L. Robinson, J. E. Solheim, The 1051 s period of the interacting binary white dwarf amcvn Astronomy and Astrophysics. ,vol. 135, pp. 1- 11 ,(1984)
M. Mayor, S. Udry, C. Lovis, F. Pepe, D. Queloz, W. Benz, J.-L. Bertaux, F. Bouchy, C. Mordasini, D. Segransan, The HARPS search for southern extra-solar planets - XIII. A planetary system with 3 super-Earths (4.2, 6.9, and 9.2 M) Astronomy and Astrophysics. ,vol. 493, pp. 639- 644 ,(2009) , 10.1051/0004-6361:200810451
William D. Cochran, Michael Endl, Robert A. Wittenmyer, Long-Period Objects in the Extrasolar Planetary Systems 47 Ursae Majoris and 14 Herculis* The Astrophysical Journal. ,vol. 654, pp. 625- 632 ,(2007) , 10.1086/509110
P. Stoica, Y. Selen, Model-order selection: a review of information criterion rules IEEE Signal Processing Magazine. ,vol. 21, pp. 36- 47 ,(2004) , 10.1109/MSP.2004.1311138
Ioan Tabus, Peter Grunwald, Petri Myllymäki, Marcelo Weinberger, Bin Yu, Festschrift in honor of Jorma Rissanen on the occasion of his 75th birthday Tampere University Press. ,(2008)
J.-P. Sivan, S. Udry, D. Naef, M. Mayor, J. L. Beuzit, D. Queloz, C. Perrier, The ELODIE survey for northern extra-solar planets - I. Six new extra-solar planet candidates Astronomy and Astrophysics. ,vol. 410, pp. 1039- 1049 ,(2003) , 10.1051/0004-6361:20031340
Prabhu Babu, Petre Stoica, Spectral analysis of nonuniformly sampled data -- a review Digital Signal Processing. ,vol. 20, pp. 359- 378 ,(2010) , 10.1016/J.DSP.2009.06.019
N. R. Lomb, Least-squares frequency analysis of unequally spaced data Astrophysics and Space Science. ,vol. 39, pp. 447- 462 ,(1976) , 10.1007/BF00648343