Estimation of the covariance matrix of random effects in longitudinal studies (2008)
Sun, Yan, Zhang, Wenyang, Tong, Howell
Longitudinal studies are often conducted to explore the cohort and age effects in many scientific areas. The within cluster correlation structure plays a very important role in longitudinal data...
Exploring volatility from a dynamical system perspective (2007)
Invited paper, Session 64 - Stochastic Volatility Modelling: Reflections, Recent Development and the Future.
Exploring volatility from a dynamical system perspective (2007)
Invited paper, Session 64 - Stochastic Volatility Modelling: Reflections, Recent Development and the Future.
Matsuda, Yasumasa, Yajima, Yoshihiro, Tong, Howell
We propose the cross-validated log likelihood (CVLL) criterion for selecting multivariate time series models with different forms of the spectral density matrix, which correspond to different...
Testing for a linear MA model against threshold MA models (2006)
This paper investigates the (conditional) quasi-likelihood ratio test for the threshold in MA models. Under the hypothesis of no threshold, it is shown that the test statistic converges weakly to a...
Testing for a linear MA model against threshold MA models (2005)
This paper investigates the (conditional) quasi-likelihood ratio test for the threshold in MA models. Under the hypothesis of no threshold, it is shown that the test statistic converges weakly to a...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems (2004)
Wolff, Rodney, Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems (2004)
Wolff, Rodney, Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems (2004)
Wolff, Rodney, Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems (2004)
Wolff, Rodney, Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C, Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical tests for Lyapunov exponents of deterministic systems (2004)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deterministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems. Discussion paper No 167 (2003)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deter- ministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems. Discussion paper No 167 (2003)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deter-ministic dynamical systems, we develop bootstrap tests based on empiricallikelihood for percentiles and expectiles of...
Statistical Tests for Lyapunov Exponents of Deterministic Systems. Discussion paper No 167 (2003)
Wolff, Rodney C., Yao, Qiwei, Tong, Howell
In order to develop statistical tests for the Lyapunov exponents of deter- ministic dynamical systems, we develop bootstrap tests based on empirical likelihood for percentiles and expectiles of...
Model specification tests in nonparametric stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C.
In this paper, we consider testing for additivity in a class of nonparametric stochastic regression models. Two test statistics are constructed and their asymptotic distributions are established. We...
Model specification tests in nonparametric stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C.
In this paper, we consider testing for additivity in a class of nonparametricstochastic regression models. Two test statistics are constructed and their asymptoticdistributions are established. We...
J. R. Statist. Soc. B (2002) (2002)
Yingcun Xia, Howell Tong, W. K. Li
this paper, we shall propose a new method to estimate the EDR directions. We call it the (conditional) minimum average variance estimation (MAVE) method. Our approach is inspired by the SIR method,...
Adaptive orthogonal series estimation in additive stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C.
In this paper, we consider additive stochastic nonparametric regression models. By approximating the nonparametric components by a class of orthogonal series and using a generalized cross-validation...
Adaptive orthogonal series estimation in additive stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C
In this paper, we consider additive stochastic nonparametric regression models. By approximating the nonparametric components by a class of orthogonal series and using a generalized cross-validation...
Adaptive orthogonal series estimation in additive stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C.
In this paper, we consider additive stochastic nonparametric regression models. By approximating the nonparametric components by a class of orthogonal series and using a generalized cross-validation...
Model specification tests in nonparametric stochastic regression models (2002)
Gao, Jiti, Tong, Howell, Wolff, Rodney C.
In this paper, we consider testing for additivity in a class of nonparametric stochastic regression models. Two test statistics are constructed and their asymptotic distributions are established. We...
An Adaptive Estimation of Dimension Reduction Space (2001)
Yingcun Xia, Howell Tong, W. K. Li
Searching for an effective dimension reduction space is an important problem in regression, especially for high dimensional data. In this paper, we propose an adaptive approach based on...
On some distributional properties of a first-order nonnegative bilinear time series model (2001)
We study a simple first-order nonnegative bilinear time-series model and give conditions under which the model is stationary. The probability density function of the stationary distribution (when it...