Tests for serial independence and linearity based on correlation integrals

Studies in Nonlinear Dynamics and Econometrics

Volumn 6, Issue 2, 2002, Pages

  Diks, Cees ^a   Manzan, Sebastiano ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14844363918     PISSN: 15583708     EISSN: 10811826     Source Type: Journal    
DOI: 10.2202/1558-3708.1005     Document Type: Article

References (28)

1. Aparicio, F. M., and A. Escribano (1998): "Information-theoretic analysis of serial dependence and cointegration," Studies in Nonlinear Dynamics and Econometrics, 3, 119-140.
2. Auestad, B., and D. Tjøstheim (1990): "Identification of nonlinear time series: First order characterization and order determination," Biometrika, 77, 669-687.
3. Barnard, G. A. (1963): "Discussion of a paper by M. S. Bartlett," Journal of the Royal Statistical Society B, 25, 294.
4. Beran, R. (1988): "Prepivoting test statistics: a bootstrap view of asymptotic refinements," Journal of the American Statistical Association, 83, 687-697.
5. Besag, J., and P. J. Diggle (1977): "Simple Monte Carlo tests for spatial pattern," Applied Statistics, 26, 327-33.
6. Blum, J. R., J. Kiefer, and M. Rosenblatt (1961): "Distribution free tests of independence based on the sample distribution function," Annals of Mathematical Statistics, 32, 485-98.
7. Brock, W. A., W. D. Dechert, J. A. Scheinkman, and B. LeBaron (1996): "A test for independence based on the correlation dimension," Econometric Reviews, 15, 197-235.
8. Chan, N. H., and L. T. Tran (1992): "Nonparametric tests for serial dependence," Journal of Time Series Analysis, 13, 19-28.
9. Cheng, B., and H. Tong (1991): "On consistent nonparametric order determination and chaos," Journal of the Royal Statistical Society B, 54, 427-449.
10. Delgado, M. A. (1996): "Testing serial independence using the sample distribution function," Journal of Time Series Analysis, 17, 271-285.
11. Diks, C. and H. Tong (1999): "A test for symmetries of multivariate probability distributions," Biometrika, 86, 605-614.
12. Engen, S. and M. Lillegård (1997): "Stochastic simulations conditioned on sufficient statistics," Biometrika, 84, 235-40.
13. Granger, C. W. and J. L. Lin (1994): "Using the mutual information coefficient to identify lags in nonlinear models," Journal of Time Series Analysis, 15, 371-384.
14. Hjellvik, V. and D. Tjøstheim (1995): "Nonparametric tests of linearity for time series," Biometrika, 82, 351-368.
15. Hjellvik, V., Q. Yao, and D. Tjøstheim (1998): "Linearity testing using polynomial approximation," Journal of Statistical Planning and Inference, 68, 295-321.
16. Kullback, S. (1959): Information Theory and Statistics. New York: Wiley & Sons.
17. Potter, S. (1995): "A nonlinear approach to US GNP," Journal of Applied Econometrics, 10, 109.
18. Prichard, D. and J. Theiler, (1995): "Generalized redundancies for time series analysis," Physica D, 84, 476-493.
19. Robinson, P. M. (1991): "Consistent nonparametric entropy-based testing," Review of Economic Studies, 58, 437-453.
20. Savit, R. and M. Green (1991): "Time series and dependent variables" Physica D, 50, 95-116.
21. Shannon, C. E. (1948): "A mathematical theory of communication" Bell Systems Technical Journal, 27, 379-423, 623-656.
22. Skaug, H. J. and D. Tjøstheim (1993a): "A nonparametric test of serial independence based on the empirical distribution function," Biometrika, 80, 591-602.
23. Skaug, H. J. and D. Tjøstheim (1993b): "Nonparametric tests of serial independence" In Developments in Time Series Analysis: In Honour of Maurice B. Priestley (ed. T. Subba Rao), pp. 207-230. Chapman & Hall, London.
24. Teräsvirta, T., c-F. Lin, and C.W.J. Granger (1993): "Power of the neural network linearity test," Journal of Time Series Analysis, 14, 209-220.
25. Tiao, G.G. and R.S. Tsay, (1994): "Some advances in non-linear and adaptive modelling in time-series," Journal of Forecasting, 13, 109.
26. Tschernig, R. and L. Yang, (2000): "Nonparametric lag selection for time series" Journal of Time Series Analysis, 21, 457-487.
27. Wiener, N. (1948): Cybernetics. New York: John Wiley & Sons.
28. Wu, K., R. Savit, and W. Brock, (1993): "Statistical tests for deterministic effects in broad band time series," Physica D, 69, 172-188.