Bibliography

Auestad, B. and Tjøstheim, D. (1990).
`Identification of nonlinear time series: first order characterization and order determination', Biometrika 77: 669-687.

Bera, A.K. and Jarque, C.M. (1982).
Model Specification Tests: a Simultaneous Approach, Journal of Econometrics, 20: 59-82.

Billingsley, P. (1968).
Convergence of Probability Measures, New York: Wiley.

Brockwell, P.J. and Davis, R.A. (1991).
Time Series: Theory and Methods, Springer, New York.

Doukhan, P. (1994).
Mixing. Properties and Examples, Springer-Verlag, New York et al.

Fan, J. and Gijbels, I. (1995).
`Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaption', Journal of the Royal Statistical Society B 57(2): 371-394.

Fan and Marron (1994).
`Fast implementations of nonparametric curve estimators', Journal of Computation and Graphical Statistics 3, 35 - 56.

Franke, J., Kreiss, J.-P., Mammen, E., and Neumann, M. H. (1998).
`Properties of the nonparametric autoregressive bootstrap', Discussion Paper 54/98, SFB 373, Humboldt University, Berlin.

Härdle, W. (1990).
Applied Nonparametric Regression, Cambridge University Press: Cambridge

Härdle, W. and Tsybakov, A. (1997).
`Local polynomial estimators of the volatility function in nonparametric autoregression', Journal of Econometrics 81, 223-242.

Härdle, W. and Vieu, P. (1992).
` Kernel regression smoothing of time series', Journal of Time Series Analysis 13: 209-232.

Härdle, W., Klinke, S., and Müller, M. ( 2000), XploRe -- The Statistical Computing Environment, Springer, New York.

Härdle, W., Lütkepohl, H., and Chen, R. (1997).
`A review of nonparametric time series analysis', International Statistical Review 65(1): 49-72.

Lu, Z. (1998).
`On the geometric ergodicity of a non-linear autoregressive model with an autoregressive conditional heteroscedastic term', Statistica Sinica 8: 1205-1217.

Robinson, P. M. (1983).
`Non-parametric estimation for time series models', Journal of Time Series Analysis 4: 185-208.

Silverman, B. (1986).
Density estimation for Statistics and Data Analysis, Chapman and Hall, London.

Tjøstheim, D. (1994).
`Nonlinear time-series - a selective review', Scandinavian Journal of Statistics 21(2): 97-130.

Tjøstheim, D. and Auestad, B. (1994).
`Nonparametric identification of nonlinear time-series - selecting significant lags', Journal of the American Statistical Association 428: 1410-1419.

Tschernig, R. and Yang, L. (2000).
`Nonparametric lag selection for time series', Journal of Time Series Analysis , forthcoming.

Vieu, P. (1994).
`Order choice in nonlinear autoregressive models', Statistics 24: 1-22.

Yang, L., Härdle, W. and Nielsen, J.P. (1999).
`Nonparametric autoregression with multiplicative volatility and additive mean', Journal of Time Series Analysis 20: 579-604.

Yang, L. and Tschernig, R. (1999).
`Multivariate bandwidth selection for local linear regression', Journal of the Royal Statistical Society, Series B, 61, 793-815.

Yao, Q. and Tong, H. (1994).
`On subset selection in non-parametric stochastic regression', Statistica Sinica 4: 51-70.