A Progressive Block Empirical Likelihood Method for Time Series

REFERENCES

• Andrews , D. W. K. 1991 . Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation . Econometrica , 59 : 817 – 858 .
   Web of Science ®Google Scholar
• Baggerly , K. 1998 . Empirical Likelihood as a Goodness of Fit Measure . Biometrika , 85 : 535 – 547 .
   Web of Science ®Google Scholar
• Bravo , F. 2002 . Blockwise Empirical Cressie-Read Test Statistics for α-Mixing Processes . Statistics & Probability Letters , 58 : 319 – 325 .
   Google Scholar
• Bravo , F. 2005 . Blockwise Empirical Entropy Tests for Time Series Regressions . Journal of Time Series Analysis , 26 : 185 – 210 .
   Google Scholar
• Bravo , F. 2009 . Blockwise Generalized Empirical Likelihood Inference for Nonlinear Dynamic Moment Conditions Models . Econometrics Journal , 12 : 208 – 231 .
   Web of Science ®Google Scholar
• Brockwell , P. J. and Davis , R. A. 2002 . Introduction to Time Series and Forecasting (2nd ed.) , New York : Springer .
   Google Scholar
• Brohan , P. , Kennedy , J. J. , Harris , I. , Tett , S. F. B. and Jones , P. D. 2006 . Uncertainty Estimates in Regional and Global Observed Temperature Changes: A New Dataset From 1850 . Journal of Geophysical Research , 111 : D12106
   Web of Science ®Google Scholar
• Bühlmann , P. and Künsch , H. R. 1999 . Block Length Selection in the Bootstrap for Time Series . Computational Statistics & Data Analysis , 31 : 295 – 310 .
   Web of Science ®Google Scholar
• Carlstein , E. 1986 . The Use of Subseries Methods for Estimating the Variance of a General Statistic From a Stationary Time Series . The Annals of Statistics , 14 : 1171 – 1179 .
   Web of Science ®Google Scholar
• Chen , Y. Y. and Zhang , L. X. 2010 . Empirical Euclidean Likelihood for General Estimating Functions Under Association Dependence . Applied Mathematics—A Journal of Chinese Universities , 25 : 437 – 446 .
   Google Scholar
• Doukhan , P. 1994 . Mixing: Properties and Examples. Lecture Notes in Statistics (Vol. 85) , New York : Springer-Verlag .
   Google Scholar
• Efron , B. 1981 . Nonparametric Standard Errors and Confidence Intervals . Canadian Journal of Statistics , 9 : 139 – 172 .
   Google Scholar
• Fitzenberger , B. 1997 . The Moving Blocks Bootstrap and Robust Inference for Linear Least Squares and Quantile Regressions . Journal of Econometrics , 82 : 235 – 287 .
   Web of Science ®Google Scholar
• Hall , P. 1992 . The Bootstrap and Edgeworth Expansion , New York : Springer-Verlag .
   Google Scholar
• Hall , P. , Horowitz , J. and Jing , B. 1995 . On Blocking Rules for the Bootstrap With Dependent Data . Biometriak , 82 : 561 – 574 .
   Web of Science ®Google Scholar
• Hall , P. and La Scala , B. 1990 . Methodology and Algorithms of Empirical Likelihood . International Statistical Review , 58 : 109 – 127 .
   Web of Science ®Google Scholar
• Jones , P. D. , New , M. , Parker , D. E. , Martin , S. and Rigor , I. G. 1999 . Surface Air Temperature and Its Variations Over the Last 150 Years . Reviews of Geophysics , 37 : 173 – 199 .
   Web of Science ®Google Scholar
• Jones , P. D. , Parker , D. E. , Osborn , T. J. and Briffa , K. R. 2011 . Global and Hemispheric Temperature Anomalies-Land and Marine Instrumental Records . Trends: A Compendium of Data on Global Change , Oak Ridge, TN, USA: Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, U.S. Department of Energy, doi: 10.3334/CDIAC/cli.002
   Google Scholar
• Kitamura , Y. 1997 . Empirical Likelihood Methods With Weakly Dependent Processes . The Annals of Statistics , 25 : 2084 – 2102 .
   Web of Science ®Google Scholar
• Kitamura , Y. and Stutzer , M. 1997 . An Information-Theoretical Alternative to Generalized Method of Moments Estimation . Econometrica , 65 : 861 – 874 .
   Web of Science ®Google Scholar
• Künsch , H. R. 1989 . The Jackknife and Bootstrap for General Stationary Observations . The Annals of Statistics , 17 : 1217 – 1261 .
   Web of Science ®Google Scholar
• Lahiri , S. N. 2003 . Resampling Methods for Dependent Data , New York : Springer .
   Google Scholar
• Lei , Q. and Qin , Y. 2011 . Empirical Likelihood for Quantiles Under Negatively Associated Samples . Journal of Statistical Planning and Inference , 141 : 1325 – 1332 .
   Web of Science ®Google Scholar
• Lin , L. and Zhang , R. 2001 . Blockwise Empirical Euclidean Likelihood for Weakly Dependent Processes . Statistics & Probability Letters , 53 : 143 – 152 .
   Web of Science ®Google Scholar
• Liu , R. Y. and Singh , K. 1992 . “ Moving Blocks Jackknife and Bootstrap Capture Weak Dependence ” . In Exploring the Limits of Bootstrap , Edited by: LePage , R. and Billard , L. 225 – 248 . New York : Wiley .
   Google Scholar
• Nordman , D. J. 2009 . Tapered Empirical Likelihood for Time Series Data in Time- and Frequency-Domains . Biometrika , 96 : 119 – 132 .
   Google Scholar
• Owen , A. B. 1988 . Empirical Likelihood Ratio Confidence Intervals for a Single Functional . Biometrika , 75 : 237 – 249 .
   Web of Science ®Google Scholar
• Owen , A. B. 1990 . Empirical Likelihood Confidence Regions . The Annals of Statistics , 18 : 90 – 120 .
   Web of Science ®Google Scholar
• Owen , A. B. 1991 . Empirical Likelihood for Linear Models . The Annals of Statistics , 19 : 1725 – 1747 .
   Web of Science ®Google Scholar
• Owen , A. B. 2001 . Empirical Likelihood , London : Chapman & Hall .
   Google Scholar
• Politis , D. N. and Romano , J. P. 1993 . On the Sample Variance of Linear Statistics Derived From Mixing Sequences . Stochastic Processes and their Applications , 45 : 155 – 167 .
   Web of Science ®Google Scholar
• Politis , D. N. , Romano , J. P. and Wolf , M. 1999 . Subsampling , New York : Springer-Verlag .
   Google Scholar
• Politis , D. N. and White , H. 2004 . Automatic Block-Length Selection for the Dependent Bootstrap . Econometric Reviews , 23 : 53 – 70 .
   Google Scholar
• Qin , J. and Lawless , J. 1994 . Empirical Likelihood and General Estimating Equations . The Annals of Statistics , 22 : 300 – 325 .
   Web of Science ®Google Scholar
• Smith , R. 1997 . Alternative Semi-Parametric Likelihood Approaches to Generalised Method of Moments Estimation . Journal of Econometrics , 107 : 503 – 519 .
   Google Scholar
• Tingley , M. P. 2012 . A Bayesian ANOVA Scheme for Calculating Climate Anomalies, With Applications to the Instrumental Temperature Record . Journal of Climate , 25 : 777 – 791 .
   Web of Science ®Google Scholar
• Wilks , S. S. 1938 . The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypotheses . The Annals of Mathematical Statistics , 9 : 60 – 62 .
   Google Scholar
• Wu , R. and Cao , J. 2011 . Blockwise Empirical Likelihood for Time Series of Counts . Journal of Multivariate Analysis , 102 : 661 – 673 .
   Google Scholar
• Yang , Y. and He , X. 2012 . Bayesian Empirical Likelihood for Quantile Regression . The Annals of Statistics , 40 : 1102 – 1131 .
   Web of Science ®Google Scholar
• Zhang , J. 2006 . Empirical Likelihood for NA Series . Statistics & Probability Letters , 76 : 153 – 160 .
   Web of Science ®Google Scholar