Non-parametric estimation of a time varying GARCH model
Non-parametric estimation of a time varying GARCH model
Non-parametric estimation of a time varying GARCH model
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Journal <strong>of</strong> Finance 48, 1749-1778.<br />
Fan, J. and Gijbels, I. (1996). Local Polynomial Modeling and Its Applications. Chapman<br />
and Hall, London.<br />
Fan, J. and Zhang, W. (1999). Statistical <strong>estimation</strong> in <strong>varying</strong> coefficient <strong>model</strong>s. Ann.<br />
Statist. 27, 1491-1518.<br />
Franke, J. and Kreiss, J.P. (1992). Bootstrapping stationary autoregressive moving av-<br />
erage <strong>model</strong>s. J. Time Series Anal. 13, 297-317.<br />
Fryzlewicz, P., Sapatinas, T. and Subba Rao, S. (2008). Normalized least-squares esti-<br />
mation in <strong>time</strong>-<strong>varying</strong> ARCH <strong>model</strong>s. Ann. Statist. 36, 742-786.<br />
Hart, J. D. (1994). Automated kernel smoothing <strong>of</strong> dependent data by using <strong>time</strong> series<br />
cross- validation. J. R. Stat. Soc. Ser. B Stat. Methodol. 56, 529-542.<br />
Li, J. and Palta, M. (2009). Bandwidth selection through cross-validation for semi-<br />
<strong>parametric</strong> <strong>varying</strong>-coefficient partially linear <strong>model</strong>s. J. Stat. Comput. Simul. 79,<br />
1277-1286.<br />
Mercurio, D. and Spokoiny, V. (2004). Statistical inference for <strong>time</strong>-inhomogeneous<br />
volatility <strong>model</strong>s. Ann. Statist. 32, 577-602.<br />
Mikosch, T. and Starica, C. (2004). <strong>Non</strong>stationarities in financial <strong>time</strong> series, the long-<br />
range dependence and the I<strong>GARCH</strong> effects. Rev. Econ. Statist. 86, 378-390.<br />
Nelson, D. B. (1990). Stationarity and persistence in the <strong>GARCH</strong> (1,1) <strong>model</strong>. Econo-<br />
metric Theory 6, 318-334.<br />
Palm, F. C. (1996). <strong>GARCH</strong> <strong>model</strong>s for volatility. In Handbook <strong>of</strong> Statistics (Edited by<br />
G. S. Maddala and C. R. Rao). 14, 209-240. Elsevier Science, North Holand.<br />
Shephard, N. (1996). Statistical aspects <strong>of</strong> ARCH and stochastic volatility. In Time<br />
Series Models in Econometric, Finance and Other Fields (Edited by D. R. Cox, D. V.<br />
Hinkleyand O. E. Barndorff-Nielsen). Chapman and Hall, London.<br />
Starica, C. and Granger, C.W.J. (2005). <strong>Non</strong>-stationarities in stock returns. Rev. Econ.<br />
Statist. 8, 503-522.<br />
Stout, W. (1996). Almost Sure Convergence. Academic Press, New York.<br />
Wabha, N. (1977). A survey <strong>of</strong> some smoothing problems and the method <strong>of</strong> generalized<br />
cross-validation for solving them. In Applications <strong>of</strong> Statistics (Edited by P.R. Krishna-<br />
iah). North-Holland, Amsterdam.<br />
Wand, M. P. and Jones, M. C. (1995). Kernel Smoothing. Chapman and Hall, London.<br />
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