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All issues Volume 6 (2002) ESAIM: PS, 6 (2002) 239-258 References
Issue
ESAIM: PS
Volume 6, 2002
New directions in Time Series Analysis (Guest Editor: Philippe Soulier)
Page(s) 239 - 258
Section New directions in Time Series Analysis (Guest Editor: Philippe Soulier)
DOI https://doi.org/10.1051/ps:2002013
Published online 15 November 2002
  1. T. Anderson, Goodness of fit tests for spectral distributions. Ann. Statist. 21 (1993) 830-847. [CrossRef] [MathSciNet] [Google Scholar]
  2. J.-M. Bardet, G. Lang, G. Oppenheim, A. Philippe and M. Taqqu, Generators of long-range dependent processes: A survey. Birkhäuser (2002). [Google Scholar]
  3. M. Bartlett, An introduction to stochastic processes. Cambridge University Press (1955). [Google Scholar]
  4. G. Box and D.A. Pierce, Distribution of residual autocorrelations in autoregressive-integrated moving average time series models. J. Am. Stat. Assoc. 65 (1970) 1509-1526. [CrossRef] [Google Scholar]
  5. P. Brockwell and R. Davis, Time Series: Theory and Methods. Springer-Verlag, Springer Ser. in Statistics (1991). [Google Scholar]
  6. W. Chen and R. Deo, A generalized portmanteau goodness-of-fit test for time series models. Preprint (2000). [Google Scholar]
  7. G. Fay, Théorèmes limites pour les fonctionnelles du périodogramme, Ph.D. Thesis. École Nationale Supérieure des Télécommunications (2000). [Google Scholar]
  8. G. Fay, E. Moulines and P. Soulier, Non linear functionals of the periodogram (submitted). [Google Scholar]
  9. G. Fay and P. Soulier, The periodogram of an i.i.d. sequence. Stochastic Process. Appl. 92 (2001) 315-343. [CrossRef] [MathSciNet] [Google Scholar]
  10. R. Fox and M. Taqqu, Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann. Statist. 14 (1986) 517-532. [CrossRef] [MathSciNet] [Google Scholar]
  11. L. Giraitis and D. Surgailis, A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotic normality of Whittles's estimate. Probab. Theory Related Fields 86 (1990) 87-104. [Google Scholar]
  12. U. Grenander and M. Rosenblatt, Statistical analysis of stationary time series. Wiley, New York (1957). [Google Scholar]
  13. Y. Hosoya, A limit theory for long-range dependence and statistical inference on related models. Ann. Statist. 25 (1997) 105-137. [CrossRef] [MathSciNet] [Google Scholar]
  14. C. Hurvich, E. Moulines and P. Soulier, The FEXP estimator for potentially non-stationary linear time series. Stochastic Process. Appl. 97 (2002) 307-340. [Google Scholar]
  15. C.W. Hurvich and W. Chen, An efficient taper for potentially overdifferenced long-memory time series. J. Time Ser. Anal. 21 (2000) 155-180. [CrossRef] [MathSciNet] [Google Scholar]
  16. D. Janas and R. von Sachs, Consistency for non-linear functions of the periodogram of tapered data. J. Time Ser. Anal. 16 (1995) 585-606. [CrossRef] [MathSciNet] [Google Scholar]
  17. C. Klueppelberg and T. Mikosch, The integrated periodogram for stable processes. Ann. Statist. 24 (1996) 1855-1879. [CrossRef] [MathSciNet] [Google Scholar]
  18. P. Kokoszka and T. Mikosch, The integrated periodogram for long-memory processes with finite or infinite variance. Stochastic Process. Appl. 66 (1997) 55-78. [CrossRef] [MathSciNet] [Google Scholar]
  19. H. Künsch, Discrimination between monotonic trends and long-range dependence. J. Appl. Probab. 23 (1986) 1025-1030. [CrossRef] [MathSciNet] [Google Scholar]
  20. T. Mikosch and R. Norvaisa, Uniform convergence of the empirical spectral distribution function. Stochastic Process. Appl. 70 (1997) 85-114. [CrossRef] [MathSciNet] [Google Scholar]
  21. A. Mokkadem, Une mesure d'information et son application à des tests pour les processus arma. C. R. Acad. Sci. Paris 319 (1994) 197-200. [Google Scholar]
  22. A. Mokkadem, A measure of information and its applications to test for randomness against ARMA alternatives and to goodness-of-fit test. Stochastic Process. Appl. 72 (1997) 145-159. [Google Scholar]
  23. M. Taniguchi, On estimation of the integrals of certain functions of spectral density. J. Appl. Probab. 17 (1980) 73-83. [CrossRef] [MathSciNet] [Google Scholar]
  24. C. Velasco, Non-stationary log-periodogram regression. J. Econom. 91 (1999) 325-371. [CrossRef] [Google Scholar]
  25. Y. Yajima, Asymptotic properties of estimates in incorrect ARMA models for long-memory time series, in New directions in time series analysis. Part II. Proc. Workshop, Minneapolis/MN (USA) 1990. Springer, New York, IMA Vol. Math. Appl. 46 (1993) 375-382. [Google Scholar]

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