## Tong, Howell

Compute Distance To:
 Author ID: tong.howell Published as: Tong, Howell; Tong, H. External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 128 Publications since 1972, including 5 Books 6 Contributions as Editor · 4 Further Contributions Biographic References: 2 Publications Co-Authors: 56 Co-Authors with 100 Joint Publications 2,013 Co-Co-Authors
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### Co-Authors

 32 single-authored 18 Chan, Kung-Sik 13 Xia, Yingcun 11 Yao, Qiwei 9 Cheng, Bing 7 Li, Wai Keung 7 Ling, Shiqing 6 Rao, Tata Subba 6 Siu, Tak Kuen 5 Yang, Hailiang 4 Li, Dong 4 Stenseth, Nils Chr. 4 Zhang, Wenyang 3 Draper, David 3 Gao, Jiti 3 Pemberton, John 3 Priestley, Maurice Bertram 3 Wolff, Rodney Carl 3 Yeung, Iris 3 Zhang, Zhiqiang 2 Chan, Wai-Sum 2 Chen, YiNing 2 Chopin, Nicolas 2 Critchley, Frank 2 Doucet, Arnaud 2 Gandy, Axel 2 Girolami, Mark A. 2 Jasra, Ajay 2 Kypraios, Theodore 2 Lee, Anthony J. T. 2 Leng, Chenlei 2 Mateu, Jorge 2 Moeanaddin, R. 2 Nott, David John 2 Porcu, Emilio 2 Preston, Simon P. 2 Robert, Christian P. Robert 2 Samworth, Richard J. 2 Singh, Sumeetpal S. 2 White, Simon R. 1 Ahmed, Ismaïl 1 An, Hongzhi 1 Anagnostopoulos, Christoforos 1 Andrieu, Christophe 1 Arafat, Ahmed 1 Arbel, Julyan 1 Bao, Le 1 Barnes, Chris P. 1 Barthelmé, Simon 1 Beaumont, Mark A. 1 Beskos, Alexandros 1 Blum, Michael G. B. 1 Böhning, Dankmar 1 Brockwell, Peter J. 1 Brown, Phil 1 Bühlmann, Peter 1 Casella, George 1 Castro, Daniela 1 Chacón, José E. 1 Cheng, Ming-Yen 1 Ching, Wa-Ki 1 Coad, D. Stephen 1 Cornebise, Julien 1 Cule, Madeleine 1 Dannemann, Jörn 1 Dawson, Kevin J. 1 Delaigle, Aurore 1 Dong, Chaohua 1 Drovandi, Christopher C. 1 Efron, Bradley 1 Everitt, Richard Geoffrey 1 Fan, Jianqing 1 Fan, Yanan 1 Fang, Zhou 1 Fasiolo, Matteo 1 Fearnhead, Paul 1 Filippi, Sarah 1 Finke, Axel 1 François, Olivier 1 Gao, Zhaoxing 1 Gelman, Andrew 1 Gerber, Mathieu 1 Giao, Jiti 1 Gopal, Vikneswaran 1 Grenfell, Bryan T. 1 Griffin, Jim E. 1 Hall, Peter Gavin 1 Hamelryck, Thomas 1 Hartig, Florian 1 Hau, M. C. 1 Hazelton, Martin L. 1 He, Zhijian 1 Hennig, Christian 1 Hetland, Andreas L. 1 Ho, Lop-Hing 1 Holmes, Christopher C. 1 Hothorn, Torsten 1 Hsu, Hsiang-Ling 1 Ing, Ching-Kang 1 Jang, Woncheol 1 Jankowski, Hanna K. ...and 104 more Co-Authors
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### Serials

 16 Statistica Sinica 10 Biometrika 7 Journal of Time Series Analysis 7 Journal of the Royal Statistical Society. Series B 7 Journal of the Royal Statistical Society. Series B. Statistical Methodology 5 Journal of Applied Probability 4 Bernoulli 3 IEEE Transactions on Information Theory 3 The Annals of Statistics 3 Journal of Econometrics 3 Journal of Statistical Planning and Inference 3 Philosophical Transactions of the Royal Society of London. Series A 3 North American Actuarial Journal 2 Advances in Applied Probability 2 International Journal of Control 2 Biometrics 2 IEEE Transactions on Automatic Control 2 Journal of the Royal Statistical Society. Series C. Applied Statistics 2 Physica D 2 Statistical Science 2 Science in China. Series A 2 Nonlinear Time Series and Chaos 2 Oxford Statistical Science Series 2 Statistics and Its Interface 1 IEEE Transactions on Reliability 1 Scandinavian Journal of Statistics 1 Automatica 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 Journal of Multivariate Analysis 1 Technometrics 1 Advances in Mathematics 1 Chinese Journal of Applied Probability and Statistics 1 Probability Theory and Related Fields 1 Stochastic Hydrology and Hydraulics 1 Journal of Sciences. Islamic Republic of Iran 1 Communications in Statistics. Theory and Methods 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Stochastic Processes and their Applications 1 Journal of Nonparametric Statistics 1 Studies in Nonlinear Dynamics and Econometrics 1 Applied Stochastic Models in Business and Industry 1 Asia-Pacific Financial Markets 1 Statistical Methods and Applications 1 Journal of Industrial and Management Optimization 1 Lecture Notes in Statistics 1 Springer Series in Statistics
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### Fields

 119 Statistics (62-XX) 14 Probability theory and stochastic processes (60-XX) 14 Numerical analysis (65-XX) 13 Systems theory; control (93-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 4 Biology and other natural sciences (92-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

102 Publications have been cited 2,273 times in 1,598 Documents Cited by Year
An adaptive estimation of dimension reduction space (with discussion). Zbl 1091.62028
Xia, Yingcun; Tong, Howell; Li, W. K.; Zhu, Li-Xing
2002
Non-linear time series. A dynamical system approach. Zbl 0716.62085
Tong, Howell
1990
Threshold models in non-linear time series analysis. Zbl 0527.62083
Tong, Howell
1983
Threshold autoregression, limit cycles and cyclical data. Zbl 0473.62081
Tong, H.; Lim, K. S.
1980
Stability selection. With discussion and authors’ reply. Zbl 1411.62142
Meinshausen, Nicolai; Bühlmann, Peter
2010
Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Zbl 0865.62026
Fan, Jianqing; Yao, Qiwei; Tong, Howell
1996
Efficient estimation for semivarying-coefficient models. Zbl 1108.62019
Xia, Yingcun; Zhang, Wenyang; Tong, Howell
2004
On estimating thresholds in autoregressive models. Zbl 0596.62085
Chan, K. S.; Tong, H.
1986
On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations. Zbl 0573.60056
Chan, K. S.; Tong, H.
1985
On extended partially linear single-index models. Zbl 0942.62109
Xia, Yingcun; Tong, Howell; Li, W. K.
1999
A multiple-threshold AR(1) model. Zbl 0579.62074
Chan, K. S.; Petruccelli, Joseph D.; Tong, H.; Woolford, Samuel W.
1985
Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation. With discussion and authors’ reply. Zbl 1411.62057
2012
A note on the estimation of Pr$$\{Y < X\}$$ in the exponential case. Zbl 0292.62021
Tong, H.
1974
Asymmetric least squares regression estimation: A nonparametric approach. Zbl 0879.62038
Yao, Qiwei; Tong, Howell
1996
Threshold models in time series analysis – 30 years on. Zbl 05983884
Tong, Howell
2011
Estimation and tests for power-transformed and threshold GARCH models. Zbl 1418.62345
Pan, Jiazhu; Wang, Hui; Tong, Howell
2008
Maximum likelihood estimation of a multi-dimensional log-concave density. With discussion and authors’ reply. Zbl 1411.62055
Cule, Madeleine; Samworth, Richard; Stewart, Michael
2010
On pricing derivatives under GARCH models: a dynamic Gerber-Shiu approach. Zbl 1085.91531
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2004
A goodness-of-fit test for single-index models. (With comments and rejoinder). Zbl 1040.62034
Xia, Yingcun; Li, W. K.; Tong, Howell; Zhang, Dixin
2004
On likelihood ratio tests for threshold autoregression. Zbl 0706.62078
Chan, K. S.; Tong, H.
1990
On consistent nonparametric order determination and chaos. Zbl 0782.62081
Cheng, B.; Tong, H.
1992
Chaos: A statistical perspective. Zbl 0977.62002
Chan, Kung-Sik; Tong, Howell
2001
A note on a Markov bilinear stochastic process in discrete time. Zbl 0548.60071
Tong, H.
1981
Sequential quasi Monte Carlo. With discussion and authors’ reply. Zbl 1414.62109
Gerber, Mathieu; Chopin, Nicolas
2015
On the estimation of $$Pr\{Y\leq X\}$$ for exponential families. Zbl 0379.62025
Tong, H.
1977
Estimation of the covariance matrix of random effects in longitudinal studies. Zbl 1129.62053
Sun, Yan; Zhang, Wenyang; Tong, Howell
2007
Bayesian risk measures for derivatives via random Esscher transform. Zbl 1083.62544
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2001
A note on noisy chaos. Zbl 0825.93713
Chan, K. S.; Tong, H.
1994
Quantifying the influence of initial values on nonlinear prediction. Zbl 0799.62099
Yao, Qiwei; Tong, Howell
1994
Single-index volatility models and estimation. Zbl 1002.62082
Xia, Yingcun; Tong, Howell; Li, W. K.
2002
Testing for a linear MA model against threshold MA models. Zbl 1085.62102
Ling, Shiqing; Tong, Howell
2005
Cross-validatory bandwidth selections for regression estimation based on dependent data. Zbl 0942.62046
Yao, Qiwei; Tong, Howell
1998
Non-linear time series: a dynamical system approach. Repr. Zbl 0835.62076
Tong, Howell
1995
Ergodicity and invertibility of threshold moving-average models. Zbl 1111.62079
Ling, Shiqing; Tong, Howell; Li, Dong
2007
Determination of the order of a Markov chain by Akaike’s information criterion. Zbl 0314.62038
Tong, H.
1975
A test for symmetries of multivariate probability distributions. Zbl 0938.62062
Diks, Cees; Tong, Howell
1999
Model specification tests in nonparametric stochastic regression models. Zbl 1030.62032
Gao, Jiti; Tong, Howell; Wolff, Rodney
2002
Semiparametric nonlinear times series model selection. Zbl 1062.62175
Giao, Jiti; Tong, Howell
2004
Threshold autoregressive modelling in continuous time. Zbl 0823.62075
Tong, Howell; Yeung, Iris
1991
On subset selection in non-parametric stochastic regression. Zbl 0823.62038
Yao, Qiwei; Tong, Howell
1994
Strong consistency of the least squares estimator for a non-ergodic threshold autoregressive model. Zbl 0822.62073
Pham Dinh Tuan; Chan, K. S.; Tong, Howell
1991
On the analysis of bivariate non-stationary processes. Zbl 0269.62077
Priestley, M. B.; Tong, H.
1973
A note on time-reversibility of multivariate linear processes. Zbl 1152.62361
Chan, Kung-Sik; Ho, Lop-Hing; Tong, Howell
2006
On a statistic useful in dimensionality reduction in multivariable linear stochastic system. Zbl 0347.62039
Sugiyama, T.; Tong, H.
1976
A note on embedding a discrete parameter ARMA model in a continuous parameter ARMA model. Zbl 0617.62099
Chan, K. S.; Tong, H.
1987
On conditionally heteroscedastic AR models with thresholds. Zbl 1285.62103
Chan, Kung-Sik; Li, Dong; Ling, Shiqing; Tong, Howell
2014
On tests for self-exciting threshold autoregressive-type non-linearity in partially observed time series. Zbl 0825.62680
Tong, H.; Yeung, I.
1991
A personal overview of nonlinear time series analysis from a chaos perspective. (With discussion). Zbl 0836.62059
Tong, Howell
1995
Some nonlinear threshold autoregressive time series models for actuarial use. Zbl 1085.62119
Chan, Wai-Sum; Wong, Albert C. S.; Tong, Howell
2004
Feature matching in time series modeling. Zbl 1219.62142
Xia, Yingcun; Tong, Howell
2011
Nonparametric estimation of ratios of noise to signal in stochastic regression. Zbl 0952.62040
Yao, Qiwei; Tong, Howell
2000
On model selection from a finite family of possibly misspecified time series models. Zbl 1418.62333
Hsu, Hsiang-Ling; Ing, Ching-Kang; Tong, Howell
2019
Numerical evaluation of distributions in nonlinear autoregression. Zbl 0691.62084
1990
On the fitting of non-stationary autoregressive models in time series analysis. Zbl 0343.62080
Ozaki, Tohru; Tong, Howell
1975
A note on certain integral equations associated with nonlinear time series analysis. Zbl 0579.45006
Chan, K. S.; Tong, H.
1986
On moving-average models with feedback. Zbl 1456.62204
Li, Dong; Ling, Shiqing; Tong, Howell
2012
A view on non-linear time series model building. Zbl 0447.62087
Tong, Howell
1980
Nested sub-sample search algorithm for estimation of threshold models. Zbl 1356.62147
Li, Dong; Tong, Howell
2016
Applications of principal component analysis and factor analysis in the identification of multivariable systems. Zbl 0293.93023
Priestley, M. B.; Rao, T. Subba; Tong, Howell
1974
Score based goodness-of-fit tests for time series. Zbl 1270.62080
Ling, Shiqing; Tong, Howell
2011
Threshold models in time series analysis – some reflections. Zbl 1337.62281
Tong, Howell
2015
Threshold variable selection using nonparametric methods. Zbl 1145.62326
Xia, Yingcun; Li, Wai-Keung; Tong, Howell
2007
On time-dependent linear transformations of non-stationary stochastic processes. Zbl 0276.60042
Tong, H.
1974
Option pricing under threshold autoregressive models by threshold Esscher transform. Zbl 1135.91362
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2006
Autoregressive model fitting with noisy data by Akaike’s information criterion. Zbl 0314.62040
Tong, H.
1975
Gao, Jiti; Tong, Howell; Wolff, Rodney
2002
Orthogonal projection, embedding dimension and sample size in chaotic time series from a statistical perspective. Zbl 0859.62077
Cheng, B.; Tong, H.
1994
On prediction and chaos in stochastic systems. Zbl 0859.62086
Yao, Qiwei; Tong, Howell
1994
Identification of the structure of multivariable stochastic systems. Zbl 0289.62061
Priestley, M. B.; Subba Rao, T.; Tong, H.
1973
Analyzing short time series data from periodically fluctuating rodent populations by threshold models: A nearest block bootstrap approach. Zbl 1176.62114
Chan, Kung-Sik; Tong, Howell; Stenseth, Nils Chr.
2009
A note on one-dimensional chaotic maps under time reversal. Zbl 0744.60036
Tong, H.; Cheng, B.
1992
Smoothing for spatiotemporal models and its application to modeling Muskrat-Mink interaction. Zbl 1218.62124
Zhang, Wenyang; Yao, Qiwei; Tong, Howell; Stenseth, Nils Chr.
2003
Testing for common structures in a panel of threshold models. Zbl 1109.62075
Chan, K. S.; Tong, H.; Stenseth, N. Chr.
2004
Testing for multimodality with dependent data. Zbl 1132.62345
Chan, K. S.; Tong, H.
2004
On residual sums of squares in non-parametric autoregression. Zbl 0784.62028
Cheng, B.; Tong, H.
1993
A note on the invertibility of nonlinear ARMA models. Zbl 1233.62154
Chan, Kung-Sik; Tong, Howell
2010
A note on the distributions of non-linear autoregressive stochastic models. Zbl 0486.62024
Pemberton, J.; Tong, H.
1981
A note on the equivalence of two approaches for specifying a Markov process. Zbl 1002.60071
Chan, K.-S.; Tong, H.
2002
Statistical tests for Lyapunov exponents of deterministic systems. Zbl 1082.62517
Wolff, Rodney; Yao, Qiwei; Tong, Howell
2004
$$k$$-stationarity and wavelets. Zbl 1067.60502
Cheng, Bing; Tong, Howell
1998
Some comments on spectral representations of non-stationary stochastic processes. Zbl 0284.60029
Tong, H.
1973
On the statistical inference of a machine-generated autoregressive $$AR(1)$$ model. Zbl 0909.62081
Stockis, Jean-Pierre; Tong, Howell
1998
On time-reversibility of multivariate linear processes. Zbl 1077.60041
Tong, Howell; Zhang, Zhiqiang
2005
On Bayesian value at risk: from linear to non-linear portfolios. Zbl 1188.91206
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2004
Selecting models with different spectral density matrix structures by the cross-validated log likelihood criterion. Zbl 1098.62118
Matsuda, Yasumasa; Yajima, Yoshihiro; Tong, Howell
2006
A note on stochastic difference equation and its application to GARCH models. Zbl 1153.60387
Zhang, Zhigiang; Tong, Howell
2004
Fitting a smooth moving average to noisy data. Zbl 0333.93043
Tong, H.
1976
On time-dependent linear stochastic control systems. Zbl 0386.93041
Rao, T. Subba; Tong, H.
1973
The asymptotic joint distribution of the estimated autoregressive coefficients. Zbl 0386.93047
Tong, H.
1978
A note on a local equivalence of two recent approaches to autoregressive order determination. Zbl 0406.93006
Tong, H.
1979
Asset allocation under threshold autoregressive models. Zbl 1286.91127
Song, Na; Siu, Tak Kuen; Ching, Wa-Ki; Tong, Howell; Yang, Hailiang
2012
Threshold autoregression and some frequency-domain characteristics. Zbl 0535.62075
Pemberton, J.; Tong, H.
1983
On the distribution of a simple stationary bilinear process. Zbl 0541.62071
Wang, Shouren; An, Hongzhi; Tong, H.
1983
A personal journey through time series in Biometrika. Zbl 1073.62555
Tong, Howell
2001
A note on tests for threshold-type nonlinearity in open loop systems. Zbl 0825.62681
Sorour, A.; Tong, H.
1993
A practical method for outlier detection in autoregressive time series modelling. Zbl 0697.62087
Hau, M. C.; Tong, H.
1989
A test time-dependence of linear open-loop systems. Zbl 0238.62102
Rao, T. Subba; Tong, H.
1972
Jackknife approach to the estimation of mutual information. Zbl 1416.62205
Zeng, Xianli; Xia, Yingcun; Tong, Howell
2018
Nonparametric function estimation in noisy chaos. Zbl 0880.62042
Cheng, B.; Tong, H.
1993
Dimension estimation and models. Zbl 0871.62079
1993
On model selection from a finite family of possibly misspecified time series models. Zbl 1418.62333
Hsu, Hsiang-Ling; Ing, Ching-Kang; Tong, Howell
2019
Jackknife approach to the estimation of mutual information. Zbl 1416.62205
Zeng, Xianli; Xia, Yingcun; Tong, Howell
2018
A new multivariate nonlinear time series model for portfolio risk measurement: the threshold copula-based TAR approach. Zbl 1360.62464
Wong, Shiu Fung; Tong, Howell; Siu, Tak Kuen; Lu, Zudi
2017
Nested sub-sample search algorithm for estimation of threshold models. Zbl 1356.62147
Li, Dong; Tong, Howell
2016
Sequential quasi Monte Carlo. With discussion and authors’ reply. Zbl 1414.62109
Gerber, Mathieu; Chopin, Nicolas
2015
Threshold models in time series analysis – some reflections. Zbl 1337.62281
Tong, Howell
2015
On conditionally heteroscedastic AR models with thresholds. Zbl 1285.62103
Chan, Kung-Sik; Li, Dong; Ling, Shiqing; Tong, Howell
2014
Constructing summary statistics for approximate Bayesian computation: semi-automatic approximate Bayesian computation. With discussion and authors’ reply. Zbl 1411.62057
2012
On moving-average models with feedback. Zbl 1456.62204
Li, Dong; Ling, Shiqing; Tong, Howell
2012
Asset allocation under threshold autoregressive models. Zbl 1286.91127
Song, Na; Siu, Tak Kuen; Ching, Wa-Ki; Tong, Howell; Yang, Hailiang
2012
Threshold models in time series analysis – 30 years on. Zbl 05983884
Tong, Howell
2011
Feature matching in time series modeling. Zbl 1219.62142
Xia, Yingcun; Tong, Howell
2011
Score based goodness-of-fit tests for time series. Zbl 1270.62080
Ling, Shiqing; Tong, Howell
2011
Stability selection. With discussion and authors’ reply. Zbl 1411.62142
Meinshausen, Nicolai; Bühlmann, Peter
2010
Maximum likelihood estimation of a multi-dimensional log-concave density. With discussion and authors’ reply. Zbl 1411.62055
Cule, Madeleine; Samworth, Richard; Stewart, Michael
2010
A note on the invertibility of nonlinear ARMA models. Zbl 1233.62154
Chan, Kung-Sik; Tong, Howell
2010
Analyzing short time series data from periodically fluctuating rodent populations by threshold models: A nearest block bootstrap approach. Zbl 1176.62114
Chan, Kung-Sik; Tong, Howell; Stenseth, Nils Chr.
2009
Estimation and tests for power-transformed and threshold GARCH models. Zbl 1418.62345
Pan, Jiazhu; Wang, Hui; Tong, Howell
2008
Estimation of the covariance matrix of random effects in longitudinal studies. Zbl 1129.62053
Sun, Yan; Zhang, Wenyang; Tong, Howell
2007
Ergodicity and invertibility of threshold moving-average models. Zbl 1111.62079
Ling, Shiqing; Tong, Howell; Li, Dong
2007
Threshold variable selection using nonparametric methods. Zbl 1145.62326
Xia, Yingcun; Li, Wai-Keung; Tong, Howell
2007
A note on time-reversibility of multivariate linear processes. Zbl 1152.62361
Chan, Kung-Sik; Ho, Lop-Hing; Tong, Howell
2006
Option pricing under threshold autoregressive models by threshold Esscher transform. Zbl 1135.91362
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2006
Selecting models with different spectral density matrix structures by the cross-validated log likelihood criterion. Zbl 1098.62118
Matsuda, Yasumasa; Yajima, Yoshihiro; Tong, Howell
2006
Testing for a linear MA model against threshold MA models. Zbl 1085.62102
Ling, Shiqing; Tong, Howell
2005
On time-reversibility of multivariate linear processes. Zbl 1077.60041
Tong, Howell; Zhang, Zhiqiang
2005
Efficient estimation for semivarying-coefficient models. Zbl 1108.62019
Xia, Yingcun; Zhang, Wenyang; Tong, Howell
2004
On pricing derivatives under GARCH models: a dynamic Gerber-Shiu approach. Zbl 1085.91531
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2004
A goodness-of-fit test for single-index models. (With comments and rejoinder). Zbl 1040.62034
Xia, Yingcun; Li, W. K.; Tong, Howell; Zhang, Dixin
2004
Semiparametric nonlinear times series model selection. Zbl 1062.62175
Giao, Jiti; Tong, Howell
2004
Some nonlinear threshold autoregressive time series models for actuarial use. Zbl 1085.62119
Chan, Wai-Sum; Wong, Albert C. S.; Tong, Howell
2004
Testing for common structures in a panel of threshold models. Zbl 1109.62075
Chan, K. S.; Tong, H.; Stenseth, N. Chr.
2004
Testing for multimodality with dependent data. Zbl 1132.62345
Chan, K. S.; Tong, H.
2004
Statistical tests for Lyapunov exponents of deterministic systems. Zbl 1082.62517
Wolff, Rodney; Yao, Qiwei; Tong, Howell
2004
On Bayesian value at risk: from linear to non-linear portfolios. Zbl 1188.91206
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2004
A note on stochastic difference equation and its application to GARCH models. Zbl 1153.60387
Zhang, Zhigiang; Tong, Howell
2004
Smoothing for spatiotemporal models and its application to modeling Muskrat-Mink interaction. Zbl 1218.62124
Zhang, Wenyang; Yao, Qiwei; Tong, Howell; Stenseth, Nils Chr.
2003
An adaptive estimation of dimension reduction space (with discussion). Zbl 1091.62028
Xia, Yingcun; Tong, Howell; Li, W. K.; Zhu, Li-Xing
2002
Single-index volatility models and estimation. Zbl 1002.62082
Xia, Yingcun; Tong, Howell; Li, W. K.
2002
Model specification tests in nonparametric stochastic regression models. Zbl 1030.62032
Gao, Jiti; Tong, Howell; Wolff, Rodney
2002
Gao, Jiti; Tong, Howell; Wolff, Rodney
2002
A note on the equivalence of two approaches for specifying a Markov process. Zbl 1002.60071
Chan, K.-S.; Tong, H.
2002
Chaos: A statistical perspective. Zbl 0977.62002
Chan, Kung-Sik; Tong, Howell
2001
Bayesian risk measures for derivatives via random Esscher transform. Zbl 1083.62544
Siu, Tak Kuen; Tong, Howell; Yang, Hailiang
2001
A personal journey through time series in Biometrika. Zbl 1073.62555
Tong, Howell
2001
On some distributional properties of a first-order nonnegative bilinear time series model. Zbl 0993.60038
Zhang, Zhiqiang; Tong, Howell
2001
Nonparametric estimation of ratios of noise to signal in stochastic regression. Zbl 0952.62040
Yao, Qiwei; Tong, Howell
2000
On extended partially linear single-index models. Zbl 0942.62109
Xia, Yingcun; Tong, Howell; Li, W. K.
1999
A test for symmetries of multivariate probability distributions. Zbl 0938.62062
Diks, Cees; Tong, Howell
1999
Cross-validatory bandwidth selections for regression estimation based on dependent data. Zbl 0942.62046
Yao, Qiwei; Tong, Howell
1998
$$k$$-stationarity and wavelets. Zbl 1067.60502
Cheng, Bing; Tong, Howell
1998
On the statistical inference of a machine-generated autoregressive $$AR(1)$$ model. Zbl 0909.62081
Stockis, Jean-Pierre; Tong, Howell
1998
Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Zbl 0865.62026
Fan, Jianqing; Yao, Qiwei; Tong, Howell
1996
Asymmetric least squares regression estimation: A nonparametric approach. Zbl 0879.62038
Yao, Qiwei; Tong, Howell
1996
Non-linear time series: a dynamical system approach. Repr. Zbl 0835.62076
Tong, Howell
1995
A personal overview of nonlinear time series analysis from a chaos perspective. (With discussion). Zbl 0836.62059
Tong, Howell
1995
A note on noisy chaos. Zbl 0825.93713
Chan, K. S.; Tong, H.
1994
Quantifying the influence of initial values on nonlinear prediction. Zbl 0799.62099
Yao, Qiwei; Tong, Howell
1994
On subset selection in non-parametric stochastic regression. Zbl 0823.62038
Yao, Qiwei; Tong, Howell
1994
Orthogonal projection, embedding dimension and sample size in chaotic time series from a statistical perspective. Zbl 0859.62077
Cheng, B.; Tong, H.
1994
On prediction and chaos in stochastic systems. Zbl 0859.62086
Yao, Qiwei; Tong, Howell
1994
On residual sums of squares in non-parametric autoregression. Zbl 0784.62028
Cheng, B.; Tong, H.
1993
A note on tests for threshold-type nonlinearity in open loop systems. Zbl 0825.62681
Sorour, A.; Tong, H.
1993
Nonparametric function estimation in noisy chaos. Zbl 0880.62042
Cheng, B.; Tong, H.
1993
Dimension estimation and models. Zbl 0871.62079
1993
On consistent nonparametric order determination and chaos. Zbl 0782.62081
Cheng, B.; Tong, H.
1992
A note on one-dimensional chaotic maps under time reversal. Zbl 0744.60036
Tong, H.; Cheng, B.
1992
Threshold autoregressive modelling in continuous time. Zbl 0823.62075
Tong, Howell; Yeung, Iris
1991
Strong consistency of the least squares estimator for a non-ergodic threshold autoregressive model. Zbl 0822.62073
Pham Dinh Tuan; Chan, K. S.; Tong, Howell
1991
On tests for self-exciting threshold autoregressive-type non-linearity in partially observed time series. Zbl 0825.62680
Tong, H.; Yeung, I.
1991
Non-linear time series. A dynamical system approach. Zbl 0716.62085
Tong, Howell
1990
On likelihood ratio tests for threshold autoregression. Zbl 0706.62078
Chan, K. S.; Tong, H.
1990
Numerical evaluation of distributions in nonlinear autoregression. Zbl 0691.62084
1990
A practical method for outlier detection in autoregressive time series modelling. Zbl 0697.62087
Hau, M. C.; Tong, H.
1989
A note on embedding a discrete parameter ARMA model in a continuous parameter ARMA model. Zbl 0617.62099
Chan, K. S.; Tong, H.
1987
On estimating thresholds in autoregressive models. Zbl 0596.62085
Chan, K. S.; Tong, H.
1986
A note on certain integral equations associated with nonlinear time series analysis. Zbl 0579.45006
Chan, K. S.; Tong, H.
1986
On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations. Zbl 0573.60056
Chan, K. S.; Tong, H.
1985
A multiple-threshold AR(1) model. Zbl 0579.62074
Chan, K. S.; Petruccelli, Joseph D.; Tong, H.; Woolford, Samuel W.
1985
Threshold models in non-linear time series analysis. Zbl 0527.62083
Tong, Howell
1983
Threshold autoregression and some frequency-domain characteristics. Zbl 0535.62075
Pemberton, J.; Tong, H.
1983
On the distribution of a simple stationary bilinear process. Zbl 0541.62071
Wang, Shouren; An, Hongzhi; Tong, H.
1983
A note on a Markov bilinear stochastic process in discrete time. Zbl 0548.60071
Tong, H.
1981
A note on the distributions of non-linear autoregressive stochastic models. Zbl 0486.62024
Pemberton, J.; Tong, H.
1981
Threshold autoregression, limit cycles and cyclical data. Zbl 0473.62081
Tong, H.; Lim, K. S.
1980
A view on non-linear time series model building. Zbl 0447.62087
Tong, Howell
1980
A note on a local equivalence of two recent approaches to autoregressive order determination. Zbl 0406.93006
Tong, H.
1979
The asymptotic joint distribution of the estimated autoregressive coefficients. Zbl 0386.93047
Tong, H.
1978
On the estimation of $$Pr\{Y\leq X\}$$ for exponential families. Zbl 0379.62025
Tong, H.
1977
On a statistic useful in dimensionality reduction in multivariable linear stochastic system. Zbl 0347.62039
Sugiyama, T.; Tong, H.
1976
Fitting a smooth moving average to noisy data. Zbl 0333.93043
Tong, H.
1976
Determination of the order of a Markov chain by Akaike’s information criterion. Zbl 0314.62038
Tong, H.
1975
On the fitting of non-stationary autoregressive models in time series analysis. Zbl 0343.62080
Ozaki, Tohru; Tong, Howell
1975
Autoregressive model fitting with noisy data by Akaike’s information criterion. Zbl 0314.62040
Tong, H.
1975
A note on the estimation of Pr$$\{Y < X\}$$ in the exponential case. Zbl 0292.62021
Tong, H.
1974
Applications of principal component analysis and factor analysis in the identification of multivariable systems. Zbl 0293.93023
Priestley, M. B.; Rao, T. Subba; Tong, Howell
1974
On time-dependent linear transformations of non-stationary stochastic processes. Zbl 0276.60042
Tong, H.
1974
On the analysis of bivariate non-stationary processes. Zbl 0269.62077
Priestley, M. B.; Tong, H.
1973
Identification of the structure of multivariable stochastic systems. Zbl 0289.62061
Priestley, M. B.; Subba Rao, T.; Tong, H.
1973
Some comments on spectral representations of non-stationary stochastic processes. Zbl 0284.60029
Tong, H.
1973
...and 2 more Documents
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### Cited by 2,112 Authors

 35 Zhu, Lixing 32 Siu, Tak Kuen 31 Tong, Howell 18 Wu, Wei Biao 17 Zhang, Riquan 16 Chen, Cathy W. S. 16 Gao, Jiti 16 Ling, Shiqing 16 Yin, Xiangrong 15 Liang, Hua 15 Yang, Hu 13 Lian, Heng 13 Tjøstheim, Dag B. 13 Xue, Liugen 13 Zhu, Liping 12 Anděl, Jiří 12 Elliott, Robert James 12 Huang, Zhensheng 12 Xia, Yingcun 12 Yao, Qiwei 11 Lin, Lu 11 Wang, Dehui 11 Wang, Qin 11 Zakoïan, Jean-Michel 11 Zhao, Weihua 10 Chen, Rong 10 Härdle, Wolfgang Karl 10 Lee, Sangyeol 10 Li, Bing 10 Li, Jialiang 10 Wang, Qihua 10 Yu, Zhou 10 Zhang, Wenyang 9 Chan, Kung-Sik 9 Francq, Christian 9 Liu, Jicai 9 Lu, Zudi 8 De Gooijer, Jan G. 8 Dong, Yuexiao 8 Fan, Jianqing 8 Li, Degui 8 Li, Dong 7 Chaturvedi, Ajit 7 Cline, Daren B. H. 7 Feng, Sanying 7 Gerlach, Richard H. 7 Gourieroux, Christian 7 Guo, Xu 7 Lai, Dejian 7 Lee, Oesook 7 Li, Gaorong 7 Li, Qi 7 Lv, Jing 7 Pan, Jiazhu 7 Park, Jin-Hong 7 Politis, Dimitris Nicolas 7 Shin, Dongwan 7 Teräsvirta, Timo 7 Wang, Kangning 7 Xia, Qiang 7 Zhu, Ke 6 Aknouche, Abdelhakim 6 Cai, Zongwu 6 Dong, Chaohua 6 Guo, Chaohui 6 Hu, Xuemei 6 Jiang, Rong 6 Li, Lexin 6 Liang, Hanying 6 Linton, Oliver Bruce 6 McAleer, Michael 6 Medeiros, Marcelo C. 6 Niglio, Marcella 6 Vitale, Cosimo Damiano 6 Wang, Tao 6 Wen, Xuerong Meggie 6 Xu, Peirong 6 Yang, Jing 6 Zhao, Yanyong 5 Basawa, Ishwar V. 5 Cook, Ralph Dennis 5 Dette, Holger 5 Feng, Zhenghui 5 Guégan, Dominique 5 Hwang, Sun Young 5 Kapetanios, George 5 Koul, Hira Lal 5 Lai, Peng 5 Laksaci, Ali 5 Li, Han 5 Li, Runze 5 Li, Wai Keung 5 Lin, Jinguan 5 Liu, Jinshan 5 Lue, Heng-Hui 5 Lv, Yazhao 5 Ma, Yanyuan 5 Peng, Heng 5 Peng, Liang 5 Psaradakis, Zacharias ...and 2,012 more Authors
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### Cited in 213 Serials

 100 Journal of Econometrics 98 Computational Statistics and Data Analysis 84 Journal of Multivariate Analysis 75 Communications in Statistics. Theory and Methods 74 Journal of Time Series Analysis 63 The Annals of Statistics 62 Journal of Statistical Planning and Inference 45 Statistics & Probability Letters 44 Journal of Statistical Computation and Simulation 43 Journal of Nonparametric Statistics 41 Annals of the Institute of Statistical Mathematics 32 Electronic Journal of Statistics 30 Statistics 29 Econometric Theory 26 Communications in Statistics. Simulation and Computation 24 Journal of Applied Statistics 23 Econometric Reviews 23 Computational Statistics 21 Statistical Papers 16 Economics Letters 16 Bernoulli 16 Statistics and Computing 14 Journal of the American Statistical Association 14 Stochastic Processes and their Applications 14 Journal of the Korean Statistical Society 13 The Canadian Journal of Statistics 13 Physica D 13 Test 11 Kybernetika 11 Insurance Mathematics & Economics 10 Scandinavian Journal of Statistics 10 Journal of Economic Dynamics & Control 10 Science China. Mathematics 9 Journal of Systems Science and Complexity 9 North American Actuarial Journal 9 Statistical Methodology 8 International Journal of Control 8 Metrika 8 Chaos, Solitons and Fractals 8 Acta Mathematicae Applicatae Sinica. English Series 8 Annals of Operations Research 8 Statistica Sinica 8 The Econometrics Journal 8 Journal of the Royal Statistical Society. Series B. Statistical Methodology 8 Statistical Methods and Applications 8 Journal of Statistical Theory and Practice 7 Biometrics 7 Journal of Computational and Applied Mathematics 7 Science in China. Series A 6 Automatica 6 Statistical Science 6 Neural Computation 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Quantitative Finance 5 International Journal of Systems Science 5 Mathematics and Computers in Simulation 5 Statistica 5 Machine Learning 5 The Annals of Applied Probability 5 Automation and Remote Control 5 European Journal of Operational Research 5 Computational Economics 5 Mathematical Problems in Engineering 5 Chaos 5 Statistical Inference for Stochastic Processes 5 Brazilian Journal of Probability and Statistics 5 Statistical Modelling 5 AStA. Advances in Statistical Analysis 5 The Annals of Applied Statistics 4 Psychometrika 4 Journal of Applied Probability 4 Computers & Operations Research 4 Methodology and Computing in Applied Probability 4 Journal of Machine Learning Research (JMLR) 4 ASTIN Bulletin 4 Asia-Pacific Financial Markets 4 Journal of Forecasting 4 Statistics Surveys 4 Annals of Finance 3 Advances in Applied Probability 3 Physica A 3 The Annals of Probability 3 Stochastic Analysis and Applications 3 Sequential Analysis 3 Mathematical and Computer Modelling 3 Mathematical Methods of Statistics 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of Inequalities and Applications 3 International Journal of Theoretical and Applied Finance 3 Communications in Nonlinear Science and Numerical Simulation 3 CEJOR. Central European Journal of Operations Research 3 Scandinavian Actuarial Journal 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Journal of Industrial and Management Optimization 3 Journal of Agricultural, Biological, and Environmental Statistics 3 Bayesian Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Fuzzy Sets and Systems ...and 113 more Serials
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### Cited in 30 Fields

 1,391 Statistics (62-XX) 240 Numerical analysis (65-XX) 225 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 186 Probability theory and stochastic processes (60-XX) 57 Dynamical systems and ergodic theory (37-XX) 53 Systems theory; control (93-XX) 33 Computer science (68-XX) 25 Biology and other natural sciences (92-XX) 21 Operations research, mathematical programming (90-XX) 18 Geophysics (86-XX) 10 Information and communication theory, circuits (94-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Astronomy and astrophysics (85-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Differential geometry (53-XX)

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