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一个非对称GARCH模型的若干性质

SOME PROPERTIES OF A MODEL FOR ASYMMETRIC GARCH
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摘要 本文研究了AGARCH模型的一些性质.利用随机差分方程的有关结论,获得了AGARCH模型的尾行为和高阶矩存在的一个充分条件,结果表明这是对GARCH模型的相应的推广. In the article, some properties of the asymmetric Garch model are studied. By using some results on stochastic difference equations, the tail behavior of the model and the sufficient condition for its higher moments existence are derived. The counterparts of the Garch model are extended.
出处 《数学杂志》 CSCD 北大核心 2010年第2期320-326,共7页 Journal of Mathematics
关键词 AGARCH 严平稳 高阶矩 尾行为 asymmetric Garch strict stationary higher moments tail behavior
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  • 1[1]Arnold. L., Gundlach, V.M. and Demetrius, L., Evolutionary formalism for products of positive random matrices,Annals Appl. Prob., 4(3)(1994), 859-901.
  • 2[2]Bollerslev. T.. Generalized autoregressive conditional heteroskedasticity, Journal of Econometrics, 31(1986), 307 327.
  • 3[3]Bougerol, P. and Picard, N., Stationarity of GARCH processes and of some nonnegative time series, Journal of Econometric s, 52(1992), 115- 127.
  • 4[4]Brandt, A., The stochastic equation Yn+1 = AnYn + Bn with stationary coefficients, Adv. Appl. Prob., 18(1986),211 220.
  • 5[5]Chan, K.S. and Tong, H., On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations, Adv. Appl. Prob., 17(1985), 666-678.
  • 6[6]Embrechts. P., Kliippelberg, C. and Mikosch, T., Modelling Extremal Events, Springer-Verlag Berlin Heidelberg,1997.
  • 7[7]Engle, R.F., Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation,Econometrica, 50(1982), 987-1007.
  • 8[8]Giraitis. L., Kokoszka, P. and Leipus, R., Stationary ARCH models: dependence structure and central limit theorem,Econornetric Theory, 16(2000), 3-22.
  • 9[9]Goldie, C.M., Iuplicit reneval theory and tails of solutions of random equations, Ann. Appl. Prob., 1(1991), 126-166.
  • 10[10]Kesten, H., Random difference equations and renewal theory for products of random matrices, Acta Math., 131(1973),207 248.

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