ARMA模型广义偏相关函数估计的强收敛速度The Strong Convergence Rate of Estimations about the Generalized Partial Autocorrelation Function in ARMA Model
陈敏,张鸿秀
摘要(Abstract):
本文证明了[1]提出的ARMA模型的广义偏相关函数估计和[2]提出的入函数和θ函数估计具有强收敛速度O(loglogT/T)~(1/2)
关键词(KeyWords): ARMA 模型;广义偏相关函数;强收敛速度
基金项目(Foundation):
作者(Author): 陈敏,张鸿秀
参考文献(References):
- 1 Woodward W A,Gray H L.On the relationship between the S array and the Box-Jenkins method of ARMA model identifiction.J.Am.Statist.Assoc.1981,76:579~587
- 2 Choi B S.On the asymptotie distribution of the generalized partial nutocorrelation function in autoregressive movingaverage processes.J.Time Series Anal,1991,12:193~205
- 3 Box G E P.Jenkins G M.Time Series Analysis.Halden-Day,San Francisco:1970
- 4 Glnsbey C A.A generalization of partial autocorrelations usetul in identifying ARMA models.Technometrics,1982,24:223~228
- 5 Takemura A.A generalization of autocorrelation and partial autocorelntion funetion useful for identification of ARMA(p,q)process.Technical Report 11,Denartment of statistics,Stanford University,1984
- 6 Gantmacher F R.Applications of the Theory of Matrices INC.New York:1959
- 7 Huang Dawei.Convergence rate of sample autocorrelalions and autocovarianccs for stationary time series.Scientia,Sinica,1987,9:406~424
- 8 Huang Dawei.Recursive method for ARMA model estimation(I).Acta.Math.Appl.Sinica,1988,4:169~192
- 9 Wang Shouren,Chen Zhaoguo.Estimation of the order of ARMA model by linear procedures,Chin.ann.of Math,1985,6B:53~70