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Optimal Instruments In Time Series: A Survey

  • Stanislav Anatolyev

This article surveys estimation in stationary time-series models using the approach of optimal instrumentation. We review tools that allow construction and implementation of optimal instrumental variables estimators in various circumstances - in single- and multiperiod models, in the absence and presence of conditional heteroskedasticity, by considering linear and non-linear instruments. We also discuss issues adjacent to the theme of optimal instruments. The article is directed primarily towards practitioners, but econometric theorists and teachers of graduate econometrics may also find it useful. Copyright 2007 The Author Journal compilation � 2007 Blackwell Publishing Ltd.

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Article provided by Wiley Blackwell in its journal Journal of Economic Surveys.

Volume (Year): 21 (2007)
Issue (Month): 1 (02)
Pages: 143-173

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Handle: RePEc:bla:jecsur:v:21:y:2007:i:1:p:143-173
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  1. N. Gregory Mankiw & Julio J. Rotemberg & Lawrence H. Summers, 1982. "Intertemporal Substitution in Macroeconomics," NBER Working Papers 0898, National Bureau of Economic Research, Inc.
  2. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October.
  3. Breusch, Trevor & Qian, Hailong & Schmidt, Peter & Wyhowski, Donald, 1999. "Redundancy of moment conditions," Journal of Econometrics, Elsevier, vol. 91(1), pages 89-111, July.
  4. Keane, Michael P & Runkle, David E, 1992. "On the Estimation of Panel-Data Models with Serial Correlation When Instruments Are Not Strictly Exogenous," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 1-9, January.
  5. Amemiya, Takeshi, 1974. "The nonlinear two-stage least-squares estimator," Journal of Econometrics, Elsevier, vol. 2(2), pages 105-110, July.
  6. BROZE, Laurence & FRANCQ, Christian & ZAKOIAN, Jean-Michel, 2000. "Non redundancy of high order moment conditions for efficient GMM estimation of weak AR processes," CORE Discussion Papers 2000033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
  8. Alastair Hall & Fernanda P. M. Peixe, 2000. "A Consistent Method for the Selection of Relevant Instruments," Econometric Society World Congress 2000 Contributed Papers 0790, Econometric Society.
  9. Smith, Richard J., 2005. "Automatic Positive Semidefinite Hac Covariance Matrix And Gmm Estimation," Econometric Theory, Cambridge University Press, vol. 21(01), pages 158-170, February.
  10. Frederic S. Mishkin, 1988. "What Does the Term Structure Tell Us About Future Inflation?," NBER Working Papers 2626, National Bureau of Economic Research, Inc.
  11. Weber, Christian E, 2000. ""Rule-of-Thumb" Consumption, Intertemporal Substitution, and Risk Aversion," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 497-502, October.
  12. Stanislav Anatolyev, 2005. "GMM, GEL, Serial Correlation, and Asymptotic Bias," Econometrica, Econometric Society, vol. 73(3), pages 983-1002, 05.
  13. Hotz, V Joseph & Kydland, Finn E & Sedlacek, Guilherme L, 1988. "Intertemporal Preferences and Labor Supply," Econometrica, Econometric Society, vol. 56(2), pages 335-60, March.
  14. Donald W.K. Andrews, 1997. "Consistent Moment Selection Procedures for Generalized Method of Moments Estimation," Cowles Foundation Discussion Papers 1146R, Cowles Foundation for Research in Economics, Yale University.
  15. Kuersteiner, Guido M., 2001. "Optimal instrumental variables estimation for ARMA models," Journal of Econometrics, Elsevier, vol. 104(2), pages 359-405, September.
  16. Hansen, Bruce E & West, Kenneth D, 2002. "Generalized Method of Moments and Macroeconomics," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 460-69, October.
  17. West,K.D. & Wong,K.-F. & Anatolyev,S., 2001. "Instrumental variables estimation of heteroskedastic linear models using all lags of instruments," Working papers 20, Wisconsin Madison - Social Systems.
  18. Hahn, Jinyong, 1997. "Efficient estimation of panel data models with sequential moment restrictions," Journal of Econometrics, Elsevier, vol. 79(1), pages 1-21, July.
  19. Anatolyev, Stanislav, 1999. "Nonparametric estimation of nonlinear rational expectation models," Economics Letters, Elsevier, vol. 62(1), pages 1-6, January.
  20. Smith, David C., 1999. "Finite sample properties of tests of the Epstein-Zin asset pricing model," Journal of Econometrics, Elsevier, vol. 93(1), pages 113-148, November.
  21. Ghysels, Eric & Hall, Alastair, 2002. "Interview with Lars Peter Hansen," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 442-47, October.
  22. West, Kenneth D, 2001. "On Optimal Instrumental Variables Estimation of Stationary Time Series Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1043-50, November.
  23. Newey, Whitney K, 1990. "Efficient Instrumental Variables Estimation of Nonlinear Models," Econometrica, Econometric Society, vol. 58(4), pages 809-37, July.
  24. Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 51-78, February.
  25. Donald, Stephen G & Newey, Whitney K, 2001. "Choosing the Number of Instruments," Econometrica, Econometric Society, vol. 69(5), pages 1161-91, September.
  26. Meddahi, Nour & Renault, Eric, 2004. "Temporal aggregation of volatility models," Journal of Econometrics, Elsevier, vol. 119(2), pages 355-379, April.
  27. Bates, Charles E. & White, Halbert, 1993. "Determination of Estimators with Minimum Asymptotic Covariance Matrices," Econometric Theory, Cambridge University Press, vol. 9(04), pages 633-648, August.
  28. Marshall, David A, 1992. " Inflation and Asset Returns in a Monetary Economy," Journal of Finance, American Finance Association, vol. 47(4), pages 1315-42, September.
  29. Koenker, Roger & Machado, Jose A. F., 1999. "GMM inference when the number of moment conditions is large," Journal of Econometrics, Elsevier, vol. 93(2), pages 327-344, December.
  30. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  31. Oliver Linton & Enno Mammen, 2003. "Estimating semiparametric ARCH (∞) models by kernel smoothing methods," LSE Research Online Documents on Economics 58068, London School of Economics and Political Science, LSE Library.
  32. West, Kenneth D., 2002. "Efficient GMM estimation of weak AR processes," Economics Letters, Elsevier, vol. 75(3), pages 415-418, May.
  33. Robinson, P M, 1987. "Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, Econometric Society, vol. 55(4), pages 875-91, July.
  34. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 397-416, October.
  35. Anatolyev, Stanislav, 2003. "The Form Of The Optimal Nonlinear Instrument For Multiperiod Conditional Moment Restrictions," Econometric Theory, Cambridge University Press, vol. 19(04), pages 602-609, August.
  36. Robert F. Stambaugh, . "Estimating Conditional Expectations When Volatility Fluctuates," Rodney L. White Center for Financial Research Working Papers 17-93, Wharton School Rodney L. White Center for Financial Research.
  37. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, 01.
  38. Sanford J. Grossman & Angelo Melino & Robert J. Shiller, 1985. "Estimating the Continuous Time Consumption Based Asset Pricing Model," NBER Working Papers 1643, National Bureau of Economic Research, Inc.
  39. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April.
  40. Hall, Alastair R., 2004. "Generalized Method of Moments," OUP Catalogue, Oxford University Press, number 9780198775201, March.
  41. Anatolyev, Stanislav, 2007. "Redundancy Of Lagged Regressors Revisited," Econometric Theory, Cambridge University Press, vol. 23(02), pages 364-368, April.
  42. Kim, Yangseon & Qian, Hailong & Schmidt, Peter, 1999. "Efficient GMM and MD estimation of autoregressive models," Economics Letters, Elsevier, vol. 62(3), pages 265-270, March.
  43. Hayashi, Fumio & Sims, Christopher A, 1983. "Nearly Efficient Estimation of Time Series Models with Predetermined, but Not Exogenous, Instruments," Econometrica, Econometric Society, vol. 51(3), pages 783-98, May.
  44. Kuersteiner, Guido M., 2002. "Efficient Iv Estimation For Autoregressive Models With Conditional Heteroskedasticity," Econometric Theory, Cambridge University Press, vol. 18(03), pages 547-583, June.
  45. Imbens, Guido W, 2002. "Generalized Method of Moments and Empirical Likelihood," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 493-506, October.
  46. Hahn, Jinyong, 2002. "Optimal Inference With Many Instruments," Econometric Theory, Cambridge University Press, vol. 18(01), pages 140-168, February.
  47. Hansen, Lars Peter, 1985. "A method for calculating bounds on the asymptotic covariance matrices of generalized method of moments estimators," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 203-238.
  48. Tschernig, Rolf & Yang, Lijian, 1997. "Nonparametric lag selection for time series," SFB 373 Discussion Papers 1997,59, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  49. Dolado, Juan J., 1990. "Optimal Instrumental Variable Estimator of the AR Parameter of an ARMA(1.1)," Econometric Theory, Cambridge University Press, vol. 6(01), pages 117-119, March.
  50. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-53, October.
  51. Donald, Stephen G. & Imbens, Guido W. & Newey, Whitney K., 2003. "Empirical likelihood estimation and consistent tests with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 117(1), pages 55-93, November.
  52. Weber, Christian E., 2002. "Intertemporal non-separability and "rule of thumb" consumption," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 293-308, March.
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