A Double AR(p) Model: Structure and Estimation

The paper considers the so-called double AR(p) model,

[1]  Shiqing Ling,et al.  Self-weighted and local quasi-maximum likelihood estimators for ARMA-GARCH/IGARCH models , 2007 .

[2]  Weighted least absolute deviations estimation for an AR(1) process with ARCH(1) errors , 2005 .

[3]  J. Zakoian,et al.  Maximum likelihood estimation of pure GARCH and ARMA-GARCH processes , 2004 .

[4]  S. T. Jensen,et al.  ASYMPTOTIC NORMALITY OF THE QMLE ESTIMATOR OF ARCH IN THE NONSTATIONARY CASE , 2004 .

[5]  Shiqing Ling,et al.  Estimation and testing stationarity for double‐autoregressive models , 2004 .

[6]  Piotr Kokoszka,et al.  GARCH processes: structure and estimation , 2003 .

[7]  Michael McAleer,et al.  ASYMPTOTIC THEORY FOR A VECTOR ARMA-GARCH MODEL , 2003, Econometric Theory.

[8]  A NOTE ON THE STATIONARITY AND THE EXISTENCE OF MOMENTS OF THE GARCH MODEL , 2003 .

[9]  Qiwei Yao,et al.  Inference in ARCH and GARCH models with heavy-tailed errors , 2003 .

[10]  Xiaohong Chen,et al.  MIXING AND MOMENT PROPERTIES OF VARIOUS GARCH AND STOCHASTIC VOLATILITY MODELS , 2002, Econometric Theory.

[11]  C. Klüppelberg,et al.  The Tail of the Stationary Distribution of an Autoregressive Process with Arch(1) Errors , 2001 .

[12]  Michael McAleer,et al.  A Survey of Recent Theoretical Results for Time Series Models with GARCH Errors , 2001 .

[13]  Zudi Lu,et al.  L1 geometric ergodicity of a multivariate nonlinear AR model with an ARCH term , 2001 .

[14]  Gemai Chen,et al.  Geometric ergodicity of nonlinear autoregressive models with changing conditional variances , 2000 .

[15]  Christian Francq,et al.  Covariance matrix estimation for estimators of mixing weak ARMA models , 2000 .

[16]  Huay-min H. Pu,et al.  GEOMETRIC ERGODICITY OF NONLINEAR TIME SERIES , 1999 .

[17]  Shiqing Ling ON THE STATIONARITY AND THE EXISTENCE OF MOMENTS OF CONDITIONAL HETEROSKEDASTIC ARMA MODELS , 1999 .

[18]  The probabilistic properties of the nonlinear autoregressive model with conditional heteroskedasticity , 1999 .

[19]  陈敏,et al.  THE PROBABILISTIC PROPERTIES OF THE NONLINEAR AUTOREGRESSIVE MODEL WITH CONDITIONAL HETEROSKEDASTICITY , 1999 .

[20]  J. Zakoian,et al.  Estimating linear representations of nonlinear processes , 1998 .

[21]  Zudi Lu ON THE GEOMETRIC ERGODICITY OF A NON-LINEAR AUTOREGRESSIVE MODEL WITH AN AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTIC TERM , 1998 .

[22]  D. Tjøstheim,et al.  Nonparametric Estimation and Identification of Nonlinear ARCH Time Series Strong Convergence and Asymptotic Normality: Strong Convergence and Asymptotic Normality , 1995, Econometric Theory.

[23]  P. Bougerol,et al.  Strict Stationarity of Generalized Autoregressive Processes , 1992 .

[24]  Richard A. Davis,et al.  M-estimation for autoregressions with infinite variance , 1992 .

[25]  H. Tong Non-linear time series. A dynamical system approach , 1990 .

[26]  Ngai Hang Chan,et al.  On the First-Order Autoregressive Process with Infinite Variance , 1989, Econometric Theory.

[27]  Ruey S. Tsay,et al.  Conditional Heteroscedastic Time Series Models , 1987 .

[28]  Andrew A. Weiss,et al.  Asymptotic Theory for ARCH Models: Estimation and Testing , 1986, Econometric Theory.

[29]  D. Pham,et al.  Bilinear markovian representation and bilinear models , 1985 .

[30]  Paul D. Feigin,et al.  RANDOM COEFFICIENT AUTOREGRESSIVE PROCESSES:A MARKOV CHAIN ANALYSIS OF STATIONARITY AND FINITENESS OF MOMENTS , 1985 .

[31]  A. A. Weiss ARMA MODELS WITH ARCH ERRORS , 1984 .

[32]  R. L. Tweedie,et al.  Probability, Statistics and Analysis: Criteria for rates of convergence of Markov chains, with application to queueing and storage theory , 1983 .

[33]  B. G. Quinn,et al.  Random Coefficient Autoregressive Models: An Introduction , 1982 .

[34]  R. Engle Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[35]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[36]  J. Kingman Subadditive Ergodic Theory , 1973 .

[37]  J. Doob Stochastic processes , 1953 .