메뉴 건너뛰기




Volumn 40, Issue 2, 2012, Pages 964-995

Bayesian nonparametric estimation of the spectral density of a long or intermediate memory gaussian process

Author keywords

Bayesian nonparametric; Consistency; FEXP priors; Gaussian long memory processes; Rates of convergence

Indexed keywords


EID: 84872066330     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-AOS955     Document Type: Article
Times cited : (17)

References (25)
  • 2
    • 0033438067 scopus 로고    scopus 로고
    • The consistency of posterior distributions in nonparametric problems
    • Mr1714718
    • Barron, A., Schervish, M. J. andwasserman, L. (1999). The Consistency of Posterior Distributions in Nonparametric Problems. Ann. Statist. 27 536-561. Mr1714718
    • (1999) Ann. Statist. , Issue.27 , pp. 536-561
    • Barron, A.1    Schervish, M.J.2    Wasserman, L.3
  • 3
    • 33749160547 scopus 로고
    • Fitting long-memory models by generalized linear regression
    • Qmr1282790
    • Beran, J. (1993). Fitting Long-Memory Models By Generalized Linear Regression. Biometrika 80 817-822. Mr1282790
    • (1993) Biometrika , vol.80 , pp. 817-822
    • Beran, J.1
  • 4
    • 0003203686 scopus 로고
    • Statistics for long-memory processes
    • Chapman & Hall, New York. Mr1304490
    • Beran, J. (1994). Statistics for Long-Memory Processes. Monographs on Statistics and Applied Probability 61. Chapman & Hall, New York. Mr1304490
    • (1994) Monographs on Statistics and Applied Probability , vol.61
    • Beran, J.1
  • 5
    • 0001318609 scopus 로고
    • Efficient parameter estimation for self-similar processes
    • Mr1026311
    • Dahlhaus, R. (1989). Efficient Parameter Estimation for Self-Similar Processes. Ann. Statist. 17 1749-1766. Mr1026311
    • (1989) Ann. Statist. , vol.17 , pp. 1749-1766
    • Dahlhaus, R.1
  • 7
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent stationary gaussian time series
    • Mr0840512
    • Fox, R. and Taqqu, M. S. (1986). Large-Sample Properties of Parameter Estimates for Strongly Dependent Stationary Gaussian Time Series. Ann. Statist. 14 517-532. Mr0840512
    • (1986) Ann. Statist. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 8
    • 84986759400 scopus 로고
    • The estimation and application of long memory time series models
    • Mr0738585
    • Geweke, J. and Porter-Hudak, S. (1983). The Estimation and Application of Long Memory Time Series Models. J. Time Series Anal. 4 221-238. Mr0738585
    • (1983) J. Time Series Anal. , vol.4 , pp. 221-238
    • Geweke, J.1    Porter-Hudak, S.2
  • 9
    • 0034164796 scopus 로고    scopus 로고
    • Convergence rates of posterior distributions
    • Mr1790007
    • Ghosal, S., Ghosh, J. K. and Van Der Vaart, A. W. (2000). Convergence Rates of Posterior Distributions. Ann. Statist. 28 500-531. Mr1790007
    • (2000) Ann. Statist. , vol.28 , pp. 500-531
    • Ghosal, S.1    Ghosh, J.K.2    Vaart, V.D.A.W.3
  • 10
    • 49449093584 scopus 로고    scopus 로고
    • Convergence rates of posterior distributions for noni. I.d. Observations
    • Mr2332274
    • Ghosal, S. and Van Der Vaart, A. (2007). Convergence Rates of Posterior Distributions for Noni. I.D. Observations. Ann. Statist. 35 192-223. Mr2332274
    • (2007) Ann. Statist. , vol.35 , pp. 192-223
    • Ghosal, S.1    Van Der Vaart, A.2
  • 11
    • 0033074707 scopus 로고    scopus 로고
    • Whittle estimator for finite-variance non-gaussian time series with long memory
    • Mr1701107
    • Giraitis, L. and Taqqu, M. S. (1999). Whittle Estimator for Finite-Variance Non-Gaussian Time Series with Long Memory. Ann. Statist. 27 178-203. Mr1701107
    • (1999) Ann. Statist. , vol.27 , pp. 178-203
    • Giraitis, L.1    Taqqu, M.S.2
  • 12
    • 0036140936 scopus 로고    scopus 로고
    • The fexp estimator for potentially non-stationary linear time series
    • Mr1875337
    • Hurvich, C. M., Moulines, E. and Soulier, P. (2002). The Fexp Estimator for Potentially Non-Stationary Linear Time Series. Stochastic Process. Appl. 97 307-340. Mr1875337
    • (2002) Stochastic Process. Appl. , vol.97 , pp. 307-340
    • Hurvich, C.M.1    Moulines, E.2    Soulier, P.3
  • 13
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • Mr0017504
    • Jeffreys, H. (1946). An invariant form for The Prior Probability in Estimation Problems. Proc. R. Soc. London. Ser. A 186 453-461. Mr0017504
    • (1946) Proc. R. Soc. London. Ser. , vol.A 186 , pp. 453-461
    • Jeffreys, H.1
  • 14
    • 3943064934 scopus 로고    scopus 로고
    • Error bounds and asymptotic expansions for toeplitz product functionals of unbounded spectra
    • Mr2089192
    • Lieberman, O. and Phillips, P. C. B. (2004). Error Bounds and Asymptotic Expansions for toeplitz Product Functionals of Unbounded Spectra. J. Time Series Anal. 25 733-753. Mr2089192
    • (2004) J. Time Series Anal. , Issue.25 , pp. 733-753
    • Lieberman, O.1    Phillips, P.C.B.2
  • 15
    • 84859119148 scopus 로고    scopus 로고
    • Asymptotic theory for maximum likelihood estimation in stationary fractional gaussian processes, under short, long and intermediate memory
    • Lieberman, O., Rosemarin, R. and Rousseau, J. (2012). Asymptotic Theory for Maximum Likelihood Estimation in Stationary Fractional Gaussian Processes, Under Short, Long and intermediate Memory. Econometric Theory 28 457-470.
    • (2012) Econometric Theory , vol.28 , pp. 457-470
    • Lieberman, O.1    Rosemarin, R.2    Rousseau, J.3
  • 16
    • 0038026190 scopus 로고    scopus 로고
    • Valid asymptotic expansions for the maximum likelihood estimator of the parameter of a stationary, gaussian, strongly dependent process
    • Mr1983543
    • Lieberman, O., Rousseau, J. and Zucker, D. M. (2003). Valid Asymptotic Expansions for The Maximum Likelihood Estimator of The Parameter of A Stationary, Gaussian, Strongly Dependent Process. Ann. Statist. 31 586-612. Mr1983543
    • (2003) Ann. Statist. , Issue.31 , pp. 586-612
    • Lieberman, O.1    Rousseau, J.2    Zucker, D.M.3
  • 18
    • 0000501589 scopus 로고
    • Fractional brownian motions, fractional noises and applications
    • Mr0242239
    • Mandelbrot, B. B. and Van Ness, J. W. (1968). Fractional Brownian Motions, Fractional Noises and Applications. Siam Rev. 10 422-437. Mr0242239
    • (1968) Siam Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Ness, V.J.W.2
  • 19
    • 84892435708 scopus 로고
    • Some long run properties of geophysical records
    • Mandelbrot, B. andwallis, J. (1969). Some Long Run Properties of Geophysical Records. Water Resources Research 5 321-340.
    • (1969) Water Resources Research , vol.5 , pp. 321-340
    • Mandelbrot, B.1    Andwallis, J.2
  • 20
    • 15844403742 scopus 로고    scopus 로고
    • Semiparametric spectral estimation for fractional processes
    • BirkhäUser, Boston, Ma. Mr1956053
    • Moulines, E. and Soulier, P. (2003). Semiparametric Spectral Estimation for Fractional Processes. in Theory and Applications of Long-Range Dependence 251-301. BirkhäUser, Boston, Ma. Mr1956053
    • (2003) Theory and Applications of Long-Range Dependence , vol.251-301
    • Moulines, E.1    Soulier, P.2
  • 21
    • 0000830829 scopus 로고
    • Nonparametric function estimation for long memory time series
    • (Durham, Nc, 1988) (W. A. Barnett, J. Powell and G. E. Tauchen, Eds.) Cambridge Univ. Press, Cambridge. Mr1174983
    • Robinson, P. M. (1991). Nonparametric Function Estimation for Long Memory Time Series. in Nonparametric and Semiparametric Methods in Econometrics and Statistics (Durham, Nc, 1988) (W. A. Barnett, J. Powell and G. E. Tauchen, Eds.) 437-457. Cambridge Univ. Press, Cambridge. Mr1174983
    • (1991) Nonparametric and Semiparametric Methods in Econometrics and Statistics , pp. 437-457
    • Robinson, P.M.1
  • 22
    • 21344446855 scopus 로고
    • Gaussian semiparametric estimation of long range dependence
    • Mr1370301
    • Robinson, P. M. (1995A). Gaussian Semiparametric Estimation of Long Range Dependence. Ann. Statist. 23 1630-1661. Mr1370301
    • (1995) Ann. Statist. , vol.23 , pp. 1630-1661
    • Robinson, P.M.1
  • 23
    • 0000668540 scopus 로고
    • Log-periodogram regression of time series with long range dependence
    • Mr1345214
    • Robinson, P. M. (1995B). Log-Periodogram Regression of Time Series with Long Range Dependence. Ann. Statist. 23 1048-1072. Mr1345214
    • (1995) Ann. Statist. , vol.23 , pp. 1048-1072
    • Robinson, P.M.1
  • 25
    • 0039462836 scopus 로고
    • Gaussian estimation in stationary time series
    • Mr0162345
    • Whittle, P. (1962). Gaussian Estimation in Stationary Time Series. Bull. inst. internat. Statist. 39 105-129. Mr0162345
    • (1962) Bull. inst. internat. Statist. , vol.39 , pp. 105-129
    • Whittle, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.