A Bayesian Curve Fitting Approach to Power Spectrum Estimation

References

• Brockwell , P. J. and Davis , R. A. 1991 . Time Series: Theory and Methods , 2nd edn , New York : Springer-Verlag .
   Google Scholar
• Campbell , M. J. and Walker , A. M. 1977 . A survey of statistical work on the MacKenzie River series of annual Canadian lynx trappings for the years 1821-1934, and a new analysis . J. Roy. Statist. Soc., Ser. A , 140 : 411 – 431 .
   Google Scholar
• de Boor , C. 1978 . A Practical Guide to Splines , New York : Springer-Verlag .
   Google Scholar
• Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998a . Automatic Bayesian curve fitting . J. Roy. Statist. Soc., Ser. B , 60 : 333 – 350 .
   Google Scholar
• Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998b . A Bayesian CART algorithm . Biometrika , 85 : 363 – 377 .
   Web of Science ®Google Scholar
• Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998c . Bayesian MARS. Statist. Comp. , 8 : 337 – 346 .
   Web of Science ®Google Scholar
• Denison , D. G. T. , Waiden , A. T. , Balogh , A. and Forsyth , R. J. 1999 . Multitaper testing of spectral lines and the detection of the solar rotation frequency and its harmonics . Appl. Statist. , 48 : 427 – 439 .
   Web of Science ®Google Scholar
• Gao , H.-Y . 1994 . Choice of thresholds for wavelet shrinkage estimate of the spectrum , Mathsoft Inc. . Statistical Sciences Division, (preprint)
   Google Scholar
• George , E. I. and McCilloch , R. 1993 . Variable selection via Gibbs sampling . J Am. Statist. Assoc. , 88 : 881 – 889 .
   Web of Science ®Google Scholar
• Green , P. J. 1995 . Reversible jump Markov chain Monte Carlo computation and Bayesian model determination . Biometrika , 82 : 711 – 732 .
   Web of Science ®Google Scholar
• Kooperberg , C. , Stone , C. J. and Troung , Y. K. 1995 . Logspline estimation of a possibly mixed spectral distribution . J of Time Ser. Anal. , 16 : 359 – 388 .
   Google Scholar
• McCoy , E. J. , Percival , D. B. and Waiden , A. T. 1998 . Spectrum estimation by wavelet thresholding of multitaper estimators . IEEE Trans. Sig. Process. , 46 : 3153 – 3165 .
   Web of Science ®Google Scholar
• Moulin , P. 1994 . Wavelet thresholding techniques for power spectrum estimation . IEEE Trans. Sig. Process. , 42 : 3126 – 3136 .
   Web of Science ®Google Scholar
• Parzen , E. 1974 . Some recent advances in time series modelling . IEEE Trans. Auto. Contr. , AC-19 : 723 – 729 .
   Web of Science ®Google Scholar
• Percival , D. B. and Waiden , A. T. 1993 . Spectral Analysis for Physical Applications , Cambridge : Cambridge University Press .
   Google Scholar
• Priestley , M. B. 1981 . Spectral Analysis of Time Series , London : Academic Press .
   Google Scholar
• Richardson , S. and Green , P. J. 1997 . On Bayesian analysis of mixtures with an unknown number of components (with discussion) . J. Roy. Statist. Soc., Ser. B , 59 : 731 – 792 .
   Google Scholar
• Riedel , K. S. and Sidorenko , A. 1995 . Minimum biased multitaper spectrum estimation . IEEE Trans. Sig. Process. , 43 : 188 – 195 .
   Google Scholar
• Smith , M. and Kohn , R. 1996 . Nonparametric regression using Bayesian variable selection . J. Econometrics , 75 : 317 – 344 .
   Web of Science ®Google Scholar
• Thomson , D. J. 1982 . Spectrum estimation and harmonic analysis . Proc. IEEE , 70 : 1055 – 1096 .
   Web of Science ®Google Scholar
• Tierney , L. 1994 . Markov chains for exploring posterior distributions (with discussion) . The Annals of Statistics , 22 : 1701 – 1762 .
   Web of Science ®Google Scholar
• Wabha , G. 1980 . Automatic smoothing of the log periodogram . J. Am. Statist. Ass. , 75 : 122 – 132 .
   Web of Science ®Google Scholar
• Waiden , A. T. , Percival , D. B. and McCoy , E. J. 1998 . Spectrum estimation by wavelet thresholding of multitaper estimators . IEEE Trans. Sig. Process , (to appear)
   Web of Science ®Google Scholar