Econ 718

Time Series Econometrics

Spring 2008

 

 

ARMA Models

 

Hamilton, chapters 2, 3, 6, 10

 

 

VAR Models

 

Hamilton, chapter 11

 

Mark Watson (1994) “Vector Autoregressions and Cointegration,” Handbook of Econometrics, vol IV, chapter 47.

 

Thomas Cooley and Mark Dwyer (1998) “Business cycle analysis without much theory: A look at structural VARs” Journal of Econometrics, 83. pdf

 

 

Asymptotic Theory

 

Hamilton, chapters 1, 2, 3, 6, 7, 15-18

 

Donald Andrews (1988) “Laws of large numbers for dependent non-identically distributed random variables,” Econometric Theory. pdf

 

James Davidson (1994) Stochastic Limit Theory, Parts III-VI

 

Robert de Jong (1997) “Central limit theorems for dependent heterogenous random variables” Econometric Theory. pdf


Robert de Jong and James Davidson, (2000) “The functional central limit theorem and weak convergence to stochastic integrals I: weakly dependent processes,” Econometric Theory.  pdf

 

 

HAC Covariance Matrix Estimation

 

Whitney Newey and Kenneth West (1987) “A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix,” Econometrica. pdf

 

Donald Andrews (1991) “Heteroskedasticity and autocorrelation consistent covariance matrix estimation,” Econometrica. pdf

 

Donald Andrews and Chris Monahan (1992) “An improved heteroskedasticity and autocorrelation consistent covariance matrix estimator,” Econometrica. pdf

 

Whitney Newey and Kenneth West (1994) “Automatic lag selection in covariance matrix estimation,” Review of Economic Studies. pdf

 

Robert de Jong and James Davidson, (2000) “Consistency of kernel estimators of heteroskedastic and autocorrelated covariance matrices” Econometrica  pdf

 

Nicholas Kiefer and Timothy Vogelsang (2002) “Heteroskedasticity-Autocorrelation robust standard errors using the Bartlett kernel without truncation,” Econometrica pdf

 

Nicholas Kiefer and Timothy Vogelsang (2005) “A new asymptotic theory for heteroskedasticity-autocorrelation robust tests.” Econometric Theory pdf

 

Michael Jansson (2004) “The error in rejection probability of simple autocorrelation robust tests,” Econometrica pdf

 

Masayuki Hirukawa (2004) “A two-stage bandwidth selection and its implementation in HAC covariance matrix estimation,” pdf

 

Yixiao Sun, Peter Phillips, and Sainan Jin (2006) “Optimal bandwidth selection in heteroskedasticity-autocorralation robust testing” pdf

 

 

GMM

 

Hamilton, chapter 14

 

Lars Hansen, John Heaton and Masao Ogaki (1988) “Efficiency bounds implied by multiperiod conditional moment restrictions,” Journal of the American Statistical Association. pdf

 

Lars Hansen, John Heaton and Yaron (1996) “Finite-sample properties of some alternative GMM estimators,” Journal of Business and Economic Statistics. pdf

 

Alastair Hall (2000) “Covariance matrix estimation and the power of the overidentifying restrictions test,” Econometrica.  pdf

 

James Stock and Jonathan Wright (2000) “GMM with Weak Identification” Econometrica pdf

 

Bruce Hansen and Kenneth West (2002) “Generalized Method of Moments and Macroeconomics,” Journal of Business and Economic Statistics. pdf

 

Manuel Dominguez and Ignacio Lobato (2004) “Consistent Estimation of Models Defined by Conditional Moment Restrictions,” Econometrica pdf.

 

 

Empirical Likelihood

 

Qin and Lawless (1994) “Empirical likelihood and general estimating equations,” Annals of Statistics. pdf

 

Yuichi Kitamura (1997) “Empirical likelihood methods with weakly dependent processes,” Annals of Statistics. pdf

 

Yuichi Kitamura and Mark Stutzer (1997) “An information-theoretic alternative to generalized method of moments estimation,” Econometrica. pdf

 

Stanislav Anatolyev (2005) “GMM, GEL, Serial correlation, and asymptotic bias,” Econometrica, pdf

 

 

Unit Roots

 

Hamilton, chapter 17

 

James Stock (1994) “Unit Roots, Structural Breaks and Trends,” Handbook of Econometrics, vol IV, chapter 46.

 

Graham Elliott, Thomas Rothenberg and James Stock (1996) “Efficient tests for an autoregressive unit root,” Econometrica. pdf

 

Joon Park and Peter Phillips (1999) “Asymptotics for nonlinear transformations of integrated time series” Econometric Theory. pdf

 

Herman Bierens (2001) “Complex unit roots and the business cycle: are they real?” Econometric Theory. pdf

 

Ulrich Muller and Graham Elliott (2003) “Tests for unit roots and the initial condition” Econometrica pdf

 

Joon Park and Peter Phillips (2000) “Nonstationary binary choice,” Econometrica, pdf

 

 

Cointegration

 

Hamilton, chapters 18-20

 

Mark Watson (1994) “Vector Autoregressions and Cointegration,” Handbook of Econometrics, vol IV, chapter 47.

 

Soren Johansen (1995) Likelihood-Based Inference in Cointegrated Vector Auto-Regressive Models

 

James Stock and Mark Watson (1993) “A simple estimator of cointegrating estimators in higher order integrated systems” Econometrica pdf

 

Graham Elliott (1998) “On the robustness of cointegration methods when regressors almost have unit roots” Econometrica. pdf


Soren Johansen (2002) “A small sample correction for the test of cointegrating rank in the vector autoregressive model” Econometrica pdf

 

Michael Jansson and Marcelo Moreira (2006) “Optimal inference in regression models with nearly integrated regressors,” Econometrica pdf

 

 

Structural Change

 

Donald Andrews (1993) “Tests for parameter instability and structural change with unknown change point,” Econometrica. pdf    (2003) “Corrigendum” pdf

 

James Stock (1994) “Unit Roots, Structural Breaks and Trends,” Handbook of Econometrics, vol IV, chapter 46.

 

Jushan Bai (1997) “Estimation of a change point in multiple regression models” Review of Economics and Statistics. pdf

 

Jushan Bai (1997) “Estimating multiple breaks one at a time” Econometric Theory. pdf

 

Bruce Hansen (2000) “Testing for structural change in conditional models,” Journal of Econometrics, pdf

 

Bruce Hansen (2001) “The new econometrics of structural change: dating changes in U.S. Labor Productivity, Journal of Economic Perspectives. pdf

 

Donald Andrews (2003) “End-of-Sample Instability Tests” Econometrica pdf

 

 

NonLinear Models

 

Hamilton, chapter 22

 

James Hamilton (1989) “A new approach to the econometric analysis of nonstationary time series and the business cycle” Econometrica. pdf

 

Terasvirta, Tjostheim and Granger (1994) “Aspects of Modelling Nonlinear Time Series,” Handbook of Econometrics, vol IV, chapter 48.

 

Bruce Hansen (1996) “Inference when a nuisance parameter is not identified under the null hypothesis,” Econometrica. pdf

 

Bruce Hansen (1997) “Inference in TAR models,” Studies in Nonlinear Dynamics and Econometrics. pdf

 

Bruce Hansen (1999) “Testing for linearity,” Journal of Economic Surveys. pdf

 

Bruce Hansen (2000) “Sample Splitting and Threshold Estimation” Econometrica pdf

 

 

Nonstationarity, Structural Change and Nonlinearity

 

Pierre Perron (1989) “The great crash, the oil-price shock and the unit-root hypothesis,” Econometrica. pdf

 

Eric Zivot and Donald Andrews (1992) “Further evidence on the great crash, the oil-price shock, and the unit-root hypothesis,” Journal of Business and Economic Statistics. pdf

 

Robert de Jong (2001) “Nonlinear estimation using estimated cointegrating relations” Journal of Econometrics, 101. pdf

 

Mehmet Caner and Bruce Hansen (2001) “Threshold autoregression with a unit root,” Econometrica. pdf

 

Bruce Hansen and Byeongseon Seo (2002) “Testing for two-regime threshold cointegration in vector error-correction models,” Journal of Econometrics. pdf

 

Helmut Lutkepohl, Pentti Saikkonen, and Carsten Trenkler (2004) “Testing for the cointegrating rank of a VAR process with level shift at unknown time,” Econometrica pdf

 

Myunghwan Seo (2006) “Bootstrap testing for the null of no cointegration in a threshold vector error correction model” Journal of Econometrics pdf

 

 

Impulse Response Analysis

 

Helmut Lutkepohl (1990) “Asymptotic distributions of impulse response functions and forecast error variance decompositions of vector autoregressive models,” Review of Economics and Statistics. pdf

 

Peter C.B. Phillips (1998) “Impulse response and forecasts error variance asymptotics in non-stationary VARs” Journal of Econometrics.  pdf

 

Lutz Kilian (1998) “Small-sample confidence intervals for impulse response functions,” Review of Economics and Statistics. pdf

 

Christopher Sims and Tao Zha (1999) “Error bands for impulse responses,” Econometrica. pdf

 

Jonathan Wright (2000) “Confidence Intervals for univariate impulse responses with a near unit root” Journal of Business and Economic Statistics. pdf

 

Graham Elliott and James Stock (2001) “Confidence intervals for autoregressive coefficients near one.” Journal of Econometrics.  pdf

 

Nikolay Gosposinov (2004) “Asymptotic Confidence Intervals for Impulse Reponses of Near-Integrated Processes,” Econometrics Journal pdf

 

 

Forecasting

 

Francis Diebold and Robert Mariano (1995) “Comparing Predictive Accuracy” Journal of Business and Economic Statistics pdf

 

Kenneth West (1996) “Asymptotic Inference about Predictive Ability” Econometrica pdf

 

Peter Christoffersen (1998) “Evaluating Interval Forecasts” International Economic Review pdf

 

Francis Diebold, Todd Gunther, and Anthony Tay (1998) “Evaluating Density Forecasts with Applications to Financial Risk Management” International Economic Review pdf

 

Nikolay Gosposinov (2002) “Median unbiased forecasts for highly persistent autoregressive processes,” Journal of Econometrics. pdf

 

Bruce Hansen (2004) “Interval Forecasts and Parameter Uncertainty” pdf

 

Kenneth West (2004) “Forecast Evaluation” pdf

 

Valentina Corradi and Norman Swanson (2004) “Predictive Density Evaluation” pdf

 

James Stock and Mark Watson (2005) “An empirical comparison of methods for forecasting using many predictors” pdf

 

Max Marcellino, James Stock, and Mark Watson (2006) “A Comparison of Direct and Iterated Multistep AR Methods for Forecasting Macroeconomic Time Series” Journal of Econometrics, forthcoming pdf

 

 

Factor Models

 

 

Jushan Bai and Serena Ng (2002) “Determining the Number of Factors in Approximate Factor Models,” Econometrica pdf.

 

Jushan Bai (2003) “Inferential Theory for Factor Models of Large Dimensions,” Econometrica, pdf

 

Jushan Bai and Serena Ng (2004) “A PANIC Attack on Unit Roots and Cointegration” Econometrica, pdf

 

Jushan Bai and Serena Ng (2006) “Confidence intervals for diffusion index forecasts and inference for factor-augmented regressions” Econometrica, pdf

 

 

 

 

NonParametric Time Series

 

Peter Hall, S.N. Lahiri, and Y.K. Truong (1995) “On bandwidth choice for density estimation with dependent data” Annals of Statistics pdf

 

Jianqing Fan, Qiwei Yao and Howell Tong (1996) “Estimation of conditional densities and selectivity measures in dynamical systems,” Biometrika. pdf

 

Peter Robinson (1997) “Large-sample inference for nonparametric regression with dependent errors” Annals of Statistics pdf

 

Jianqing Fan and Qiwei Yao (1998) “Efficient estimation of conditional variance functions in stochastic regression” Biometrika pdf

 

Peter Hall, R.C.L. Wolff and Qiwei Yao (1999) “Methods for estimating a conditional distribution function,” Journal of the American Statistical Association pdf

 

Peter Hall and Brett Presnell (1999) “Density Estimation under Constraints”, Journal of Computational and Graphical Statistics. pdf

 

Jianqing Fan and Qiwei Yao (2003) Nonlinear Time Series: Nonparametric and Parametric Methods

 

 

Bootstrap –Overview

 

Peter Hall (1994) “Methodology and theory for the Bootstrap,” Handbook of Econometrics, vol IV, chapter 39.

 

Peter Hall (1992) The Bootstrap and Edgeworth Expansion.

 

Bradley Efron and Tibshirani (1993) An Introduction to the Bootstrap.

 

Shao and Tu (1995) The Jackknife and Bootstrap.

 

A.C. Davison and D.V. Hinkley (1997) Bootstrap Methods and Their Application.

 

Dimitris Politis, Romano and Michael Wolf (1999) Subsampling.

 

Joel Horowitz (2001) “The Bootstrap”, Handbook of Econometrics, vol V, chapter 52.

 

Peter Buhlmann (2002) “Bootstraps for Time Series,” Statistical Science. pdf

 

Wolfgang Hardle, Joel Horowitz and Kreiss (2002) “Bootstrap methods for time series,” International Statistical Review, forthcoming. pdf

 

 

Residual Bootstrap

 

Bose (1988) “Edgeworth correction by bootstrap in autoregressions,” Annals of Statistics. pdf

 

Choi and Peter Hall (2000) “Bootstrap confidence regions computed from autoregressions of arbitrary order,” Journal of the Royal Statistical Society, Series B. pdf

 

Sílvia Gonçalves and Lutz Kilian (2004)Bootstrapping autoregressions with conditional heteroskedasticity of unknown form” Journal of Econometrics pdf

 

 

Block Bootstrap

 

Dimitris Politis and Joseph Romano (1994) “The stationary bootstrap,” Journal of the American Statistical Association. pdf

 

Peter Hall, Joel Horowitz, and B-Y Jing (1995) “On blocking rules for the bootstrap,” Biometrika. pdf

 

Gotze and Kunsch (1996) “Second-order correctness of the Blockwise bootstrap for stationary observations,” Annals of Statistics. pdf

 

Lahiri (1999) “Theoretical comparisons of block bootstrap methods,” Annals of Statistics. pdf

 

Janis Zvingelis (2001) “On bootstrap coverage probability with dependent data,” in Computer Aided Econometrics. pdf

 

Silvia Goncalves and Halbert White (2002) “The bootstrap of the mean for dependent heterogeneous arrays,” Econometric Theory. pdf

 

Donald Andrews (2004) “The Block-Block Bootstrap: Improved Asymptotic Refinements,” Econometrica, pdf

 

 

GMM Bootstrap

 

Peter Hall and Joel Horowitz (1996) “Bootstrap critical values for tests based on generalized-method-of-moments estimation,” Econometrica. pdf

 

Donald Andrews (2002) “Higher-order improvements of a computationally attractive k-step bootstrap for extremum estimators,” Econometrica. pdf

 

Atsushi Inoue and Mototsugu Shinani (2006) “Bootstrapping GMM estimator for time series.”  Journal of Econometrics, pdf

 

Bryan Brown and Whitney Newey (2002) “GMM, bootstrapping, and improved inference,” Journal of Business and Economic Statistics. pdf

 

Halbert White (2000) “A reality check for data snooping” Econometrica. pdf

 

 

Nonstationary Bootstrap

 

Basawa, Mallik, McCormick, Reeves, Taylor (1991) “Bootstrapping unstable first-order autoregressive processes” Annals of Statistics. pdf

 

Bruce Hansen (1999) “The grid bootstrap and the autoregressive model,” Review of Economics and Statistics. pdf

 

Joseph Romano and Michael Wolf (2001) “Subsampling intervals in autoregressive models with linear time trend” Econometrica pdf

 

Atsushi Inoue and Lutz Kilian (2002) “Bootstrapping autoregressive processes with possible unit roots” Econometrica pdf

 

Joon Park (2002) “An invariance principle for sieve bootstrap in time series” Econometric Theory. pdf

 

Joon Park (2003) “Bootstrap Unit root tests” Econometrica pdf

 

Efstathios Paparoditis and Dimitris Politis (2003) “Residual-Based Block Bootstrap for Unit Root Testing” Econometrica pdf

 

Joon Park (2006) “A bootstrap theory for weakly integrated processes,” Journal of Econometrics pdf

 

 

Markov Bootstrap

 

Efstathios Paparoditis and Dimitris Politis (2001) “A Markovian local resampling scheme for nonparametric estimators in time series analysis,” Econometric Theory. pdf

 

Efstathios Paparoditis and Dimitris Politis (2002) “The Local Bootstrap for Markov processes” Journal of Statistical Planning and Inference. pdf

 

Andrews (2001) “Higher-order improvements of the parametric bootstrap for Markov processes” pdf

 

Joel Horowitz (2003) “Bootstrap methods for Markov processes,” Econometrica  pdf

 

ARCH

 

Gabriele Fiorentini, Enrique Sentana and Neil Shephard (2004) “Likelihood-based estimation of latent generalized ARCH structures,” Econometrica pdf

 

Soren Tolver Jensen and Anders Rahbek (2004) “Asymptotic normality of the QMLE estimating of ARCH in the nonstationary case” Econometrica pdf

 

Oliver Linton and E. Mammen (2005) “Estimating semiparametric ARCH(infinity) models by kernel smoothing methods,” Econometrica pdf

 

 

Financial Econometrics

 

Federico Bandi and Peter C.B. Phillips (2003) “Fully nonparametric estimation of scalar diffusion models” Econometrica pdf

 

Torben Andersen, Tim Bollerslev, Francis Diebold and Paul Labys (2003) “Modeling and forecasting realized volatility” Econometrica pdf

 

Yacine Ait-Sahalia and Per Mykland (2003) “The effects of random and discrete sampling when estimating continuous-time diffusions,” Econometrica pdf

 

Ole Barndorff-Nielsen and Neil Shephard: (2004) “Econometric analysis of realized covariation: High frequency based covariance, regression, and correlation in financial econometrics” Econometrica pdf

 

Torben Andersen, Tim Bollerslev, and Nour Meddahi (2005) “Correcting the errors: Volatility forecast evaluation using high-frequency data and realized volatility,” Econometrica pdf

 

 

Model Selection

 

Werner Ploberger and Peter C.B. Phillips (2003) “Empirical limits for time series econometric models,” Econometrica pdf

 

Joseph Romano and Michael Wolf (2005) “Stepwise multiple testing as formalized data snooping,” Econometrica pdf

 

Rissanen (1986) “Order estimation by accumulated prediction errors,” Journal of Applied Probability pdf

 

Burman and Nolan (1992) “Data dependent estimation of prediction functions” Journal of Time Series Analysis pdf

 

Burman, Chow, and Nolan (1994) “A cross-validatory method for dependent data” Biometrika pdf

 

Ching-Kang Ing (2004) “Selecting optimal multistep predictors for autoregressive processes of unknown order”, Annals of Statistics pdf

 

Ching-Kang Ing and Ching-Zong Wei (2005) “Order selection for same-realization predictions in autoregressive processes”, Annals of Statistics pdf

 

Ching-Kang Ing (2006) “Accumulated prediction errors, information criteria and optimal forecasting for autoregressive time series”, Annals of Statistics , forthcoming, pdf

 

Ching-Kang Ing, Jin-Lung Lin and Shu-Hui Yu (2006) “Toward optimal multistep forecasts in unstable autoregressions,” pdf