Dr. Liang Peng (Curriculum Vitae)

Associate Professor
School of Mathematics
Georgia Institute of Technology
Phone: (404)894-4751
Fax: (404)894-4409
Email:  peng@math.gatech.edu

Mailing Address:

Skiles 206
School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160

Education:


Experience:


Spring 2008 course:

Math4262

Research Interests:

  • Extreme value theory in finance and environmental sciences
  • Nonparametric statistics
  • Heavy tailed, long-range dependent and nonlinear time series
  • Empirical likelihood methods
  • Copula and tail copula in risk management
  • Continuous-time stochastic processes in finance

Selected papers:

  • [43] Lu-Hung Chen, Ming-Yen Cheng and Liang Peng (2008). Conditional variance estimation in heteroscedastic regression model. JSPI. Accepted.
  • [42] L. Peng (2008). Estimating the probability of a rare event via elliptical copulas. NAAJ. Accepted.
  • [41] J. Chen, L. Peng and Y. Zhao (2008). Empirical likelihood based confidence intervals for copulas. JMVA. Accepted.
  • [40] Alex J. Koning and Liang Peng (2008). Goodness-of-fit tests for a heavy tailed distribution. JSPI. Accepted.
  • [39] Claudia Kluppelberg, Gabriel Kuhn and Liang Peng (2008). Semi-Parametric Models for the Multivariate Tail Dependence Function - the Asymptotically Dependent Case. SJS. Accepted.
  • [38] Liang Peng and Yongcheng Qi (2007). Bootstrap Approximation of Tail Dependence Function. JMVA. Accepted.
  • [37] Ngai-Hang Chan, Liang Peng and Dabao Zhang (2007). Empirical likelihood based confidence intervals for conditional variance in heteroscedastic regression models. Econometric Theory. Accepted.
  • [36] L. de Haan, C. Neves and L. Peng (2008). Parametric tail copula estimation and model testing. JMVA 99, 1260 - 1275.
  • [35] N.H. Chan, J. Chen, X. Chen, Y. Fan and L. Peng (2007). Statistical inference for multivariate residual copula of GARCH models. Statistica Sinica. Accepted.
  • [34] Dabao Zhang, Martin T. Wells and Liang Peng (2008). Nonparametric estimation of the dependence function for a multivariate extreme value distribution. JMVA 99(4), 577 - 588.
  • [33] Claudia Kluppelberg, Gabriel Kuhn and Liang Peng (2007). Estimating the tail dependence of an elliptical distribution. Bernoulli 13(1), 229 - 251.
  • [32] M. Cheng, L. Peng and J.S. Wu (2007). Reducing variance in univariate smoothing. Ann. Statist. 35(2), 522 - 542.
  • [31] L. Peng and Y. Qi (2007). Partial derivatives and confidence intervals of bivariate tail dependence functions. Journal of Statistical Planning and Inference 137, 2089 - 2101.
  • [30] M. Cheng and L. Peng (2007). Variance reduction in multivariate likelihood models. JASA. 102(477), 293 - 304.
  • [29] Ngai Hang Chan, Shijie Deng, Liang Peng and Zhendong Xia (2007). Interval estimation for the conditional Value-at-Risk based on GARCH models with heavy tailed innovations. Journal of Econometrics 137(2), 556 - 576.
  • [28] L. Peng and Y. Qi (2006). Confidence regions for high quantiles of a heavy tailed distribution. Annals of Statistics 34(4), 1964 - 1986.
  • [27] G.T. Zhou and L. Peng (2006). Optimality condition for selected mapping in OFDM. IEEE Transactions on Signal Processing 54(8), 3159 - 3165.
  • [26] M. Cheng and L. Peng (2006). A simple and efficient improvement of multivariate local linear regression. Journal of Multivariate Analysis 97(7), 1501 - 1524.
  • [25] N.H. Chan, L. Peng and Y. Qi (2006). Quantile inference for near-integrated autoregressive time series with infinite variance. Statistica Sinica 16(1), 15 - 28.
  • [24] Liang Peng and Yongcheng Qi (2006). A new calibration method of constructing empirical likelihood-based confidence intervals for the tail index. Australian & New Zealand Journal of Statistics 48(1), 59 - 66.
  • [23] Ngai Hang Chan and Liang Peng (2005). Weighted least absolute deviations estimation for an AR(1) process with ARCH(1) errors. Biometrika. 92, 477 - 484.
  • [22] Liang Peng and Yongcheng Qi (2004). Estimating the first and second order parameters of a heavy tailed distribution. Australian & New Zealand Journal of Statistics. 46(2), 305 - 312.
  • [21] Shiqing Ling and Liang Peng (2004). Hill's estimator for the tail index of an ARMA model. Journal of Statistical Planning and Inference. 123(2), 279 - 293.
  • [20] Liang Peng and Qiwei Yao (2004). Nonparametric regression under dependent errors with infinite variance. Ann. Inst. Statist. Math. 56(1), 73 - 86.
  • [19] Liang Peng (2004). Bias-corrected estimators for monotone and concave frontier functions. Journal of Statistical Planning and Inference. 119(2), 263 - 275.
  • [18] Liang Peng (2004). Empirical likelihood based confidence interval for the mean of a heavy tailed distribution. Annals of Statistics. 32(3), 1192 - 1214.
  • [17] Liang Peng and Xiaohua Zhou (2004). Local linear smoothing of receiver operator characteristic (ROC) curves. Journal of Statistical Planning and Inference. 118, 129 - 143.
  • [16] L. Peng and Q. Yao (2003). Least absolute deviations estimation for ARCH and GARCH models. Biometrika. 90(4). 967 - 975.
  • [15] G. Claeskens, B. Jing, L. Peng and W. Zhou (2003). Empirical likelihood confidence regions for comparison distributions and ROC curves. The Canadian Journal of Statistics. 31(2), 173 - 190.
  • [14] A. Ferreira, L. de Haan and L. Peng (2003). On optimising the estimation of high quantiles of a probability distribution. Statistics. 37(5), 403-434.
  • [13] Ming-Yen Cheng and Liang Peng (2002). Regression modeling for nonparametric estimation of distribution and quantile functions. Statistica Sinica, 12, 1043 - 1060.
  • [12] Peter Hall, Liang Peng and Qiwei Yao (2002). Moving-maximum models for extremes of time series. Journal of Statistical Planning and Inference, 103, 51 - 63.
  • [11] Peter Hall, Liang Peng and Qiwei Yao (2002). Prediction and nonparametric estimation for time series with heavy tails. Journal of Time Series Analysis. 23(3), 313 - 331.
  • [10] Peter Hall, Liang Peng and Nader Tajvidi (2002). Effect of extrapolation on coverage accuracy of prediction intervals computed from Pareto-type data. Annals of Statistics, 30(3), 875 - 895.
  • [9] Shihong Cheng and Liang Peng (2001). Confidence intervals for the tail index. Bernoulli. 7(5), 751 - 760.
  • [8] Peter Hall, Liang Peng and Christian Rau (2001). Local-likelihood tracking of fault lines and boundaries in spatial problems. JRSSB, 63(3), 569 - 582.
  • [7] Jon Danielsson, Laurens de Haan, Liang Peng and Capser G. de Vries (2001). Using a bootstrap method to choose the sample fraction in tail index estimation. Journal of Multivariate Analysis 76, 226 - 248.
  • [6] Jaap Geluk, Liang Peng and Casper G. de Vries (2000). Convolutions of heavy tailed random variables and applications to portfolio diversification and MA(1) time series. Advances in Applied Probability, 32(4), 1011 - 1026.
  • [5] Shihong Cheng, Liang Peng and Yongcheng Qi (2000). Ergodic behaviour of extreme values. J. Austral. Math. Soc. (Series A) , 68 , 170 -- 180.
  • [4] Peter Hall, Liang Peng and Nader Tajvidi (1999). On prediction intervals based on predictive likelihood or bootstrap methods. Biometrika , 86 , 871 -- 880.
  • [3] Laurens de Haan and Liang Peng (1999). Exact rates of convergence to a stable law. Journal of the London Mathematical Society , 59(2) , 1134 -- 1152.
  • [2] Laurens de Haan and Liang Peng (1998). Comparison of tail index estimators. Statistica Neerlandica , 52(1) , 60 -- 70.
  • [1] Laurens de Haan and Liang Peng (1997). Rates of convergence for bivariate extremes. Journal of Multivariate Analysis , 61(2) , 195 -- 230.

Technical reports:

  • Liang Peng, Yongcheng Qi and Chen Zhou (2007). Maximum likelihood estimation of extreme value index for irregular cases. MLE.pdf
  • Deyuan Li and Liang Peng (2008). Still fit generalized Pareto distributions? GPD.pdf
  • Liang Peng (2007). A practical way for analyzing heavy tailed data. HeavyTail.pdf
  • Liang Peng (2007). A practical way for estimating tail dependence functions. Dependence.pdf

Links:

Statistical Science Web

R Homepage

Latex Presentation

National center for biotechnology information
M.S. in Statistics, Georgia Tech.
Statistics of Climate

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