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Theory and Method

Median Unbiased Estimation of Coefficient Variance in a Time-Varying Parameter Model

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Pages 349-358 | Received 01 Aug 1996, Published online: 17 Feb 2012

References

  • Andrews , D. W. K. , Lee , I. and Ploberger , W. 1996 . “Optimal Change-point Tests for Normal Linear Regression” . Journal of Econometrics , 70 : 9 – 38 .
  • Andrews , D. W. K. and Ploberger , W. 1994 . “Optimal Tests When a Nuisance Parameter is Present Only Under the Alternative” . Econometrica , 62 : 1383 – 1414 .
  • Brillinger , D. R. 1981 . Time Series: Data Analysis and Theory , San Francisco : Holden-Day .
  • Chow , G. C. 1984 . “Random and Changing Coefficient Models,” . In Handbook of Econometrics , Edited by: Griliches , Z. and Intrilligator , M. D. Amsterdam : North-Holland . chap. 21
  • Cooley , T. F. and Prescott , E. C. 1973a . “An Adaptive Regression Model” . International Economic Review , 14 : 364 – 371 .
  • Cooley , T. F. and Prescott , E. C. 1973b . “Tests of an Adaptive Regression Model” . Review of Economics and Statistics , 55 : 248 – 256 .
  • Cooley , T. F. and Prescott , E. C. 1976 . “Estimation in the Presence of Stochastic Parameter Variation” . Econometrica , 44 : 167 – 184 .
  • Davis , R. A. and Dunsmuir , W. T. M. 1996 . “Maximum Likelihood Estimation for MA(1) Processes with a Root on or Near the Unit Circle” . Econometric Theory , 12 : 1 – 29 .
  • Engle , R. F. and Watson , M. W. 1987 . “The Kalman Filter Model: Applications to Forecasting and Rational Expectations Models,” . In Advances in Econometrics: Fifth World Congress of the Econometric Society , Edited by: Bewley , T. Cambridge , , U.K. : Cambridge University Press .
  • Franzini , L. and Harvey , A. C. 1983 . “Testing for Deterministic Trend and Seasonal Components in Time Series Models” . Biometrika , 70 : 673 – 682 .
  • Hansen , B. E. 1992 . “Tests for Parameter Instability in Regressions with I(1) Processes” . Journal of Business and Economic Statistics , 10 : 321 – 336 .
  • Harvey , A. C. 1985 . “Trends and Cycles in Macroeconomic Time Series” . Journal of Business and Economic Statistics , 3 : 216 – 227 .
  • Harvey , A. C. 1989 . Forecasting, Structural Time Series Models, and the Kalman Filter , Cambridge , , U.K. : Cambridge University Press .
  • Harvey , A. C. and Jaeger , A. 1993 . “Detrending, Stylized Facts and the Business Cycle” . Journal of Applied Econometrics , 8 : 231 – 248 .
  • Harvey , A. C. and Streibel , M. 1997 . “Testing Against Nonstationary Unobserved Components,” , Faculty of Economics and Politics University of Cambridge . unpublished manuscript
  • King , M. L. and Hillier , G. H. 1985 . “Locally Best Invariant Tests of the Error Covariance Matrix of the Linear Regression Model” . Journal of the Royal Statistical Society, Ser. B , 47 : 98 – 102 .
  • Nabeya , S. and Tanaka , K. 1988 . “Asymptotic Theory of a Test for the Constancy of Regression Coefficients Against the Random Walk Alternative” . The Annals of Statistics , 16 : 218 – 235 .
  • Nichols , D. F. and Pagan , A. R. 1985 . “Varying Coefficient Regression,” . In Handbook of Statistics , Edited by: Hannan , E. J. , Krishnaiah , P. R. and Rao , M. M. Vol. 5 , 413 – 449 . Amsterdam : North-Holland .
  • Nyblom , J. 1989 . “Testing for the Constancy of Parameters Over Time” . Journal of the American Statistical Association , 84 : 223 – 230 .
  • Nyblom , J. and Mäkeläinen , T. 1983 . “Comparisons of Tests for the Presence of Random Walk Coefficients in a Simple Linear Model” . Journal of the American Statistical Association , 78 : 856 – 864 .
  • Pagan , A. 1980 . “Some Identification and Estimation Results for Regression Models With Stochastically Varying Coefficients” . Journal of Econometrics , 12 : 341 – 363 .
  • Pantula , S. G. 1991 . “Asymptotic Distributions of the Unit-Root Tests When the Process is Nearly Stationary” . Journal of Business and Economic Statistics , 9 : 325 – 353 .
  • Quandt , R. E. 1960 . “Tests of the Hypothesis That a Linear Regression System Obeys Two Separate Regimes” . Journal of the American Statistical Association , 55 : 324 – 330 .
  • Reinsel , G. C. and Tam , W.-K. 1996 . “Tests for Seasonal Moving Average Unit Root in ARIMA Models,” , Dept. of Statistics University of Wisconsin-Madison . unpublished manuscript
  • Rosenberg , B. 1972 . “The Estimation of Stationary Stochastic Regression Parameters Re-Examined” . Journal of the American Statistical Association , 67 : 650 – 654 .
  • Rosenberg , B. 1973 . “The Analysis of a Cross-Section of Time Series by Stochastically Convergent Parameter Regression” . Annals of Economic and Social Measurement , 2 : 461 – 484 .
  • Saikkonen , P. and Luukonen , R. 1993 . “Point Optimal Test for Testing the Order of Differencing in ARIMA Models” . Econometric Theory , 9 : 343 – 362 .
  • Sarris , A. H. 1973 . “A Bayesian Approach to Estimation of Time-Varying Regression Coefficients” . Annals of Economic and Social Measurement , 2 : 501 – 523 .
  • Sargan , J. D. and Bhargava , A. 1983 . “Maximum Likelihood Estimation of Regression Models With First-Order Moving Average Errors When the Root Lies on the Unit Circle” . Econometrica , 51 : 799 – 820 .
  • Schwert , G. W. 1989 . “Tests for Unit Roots: A Monte Carlo Investigation” . Journal of Business and Economic Statistics , 7 : 147 – 160 .
  • Shephard , N. H. 1993 . “Distribution of the ML Estimator of an MA(1) and a Local Level Model” . Econometric Theory , 9 : 377 – 401 .
  • Shephard , N. G. and Harvey , A. C. 1990 . “On the Probability of Estimating a Deterministic Component in the Local Level Model” . Journal of Time Series Analysis , 11 : 339 – 347 .
  • Shively , T. S. 1988 . “An Exact Test of a Stochastic Coefficient in a Time Series Regression Model” . Journal of Time Series Analysis , 9 : 81 – 88 .
  • Stock , J. H. 1991 . “Confidence Intervals for the Largest Autoregressive Root in U.S. Economic Time Series” . Journal of Monetary Economics , 28 : 435 – 460 .
  • Stock , J. H. 1994 . “Unit Roots, Structural Breaks, and Trends,” . In The Handbook of Econometrics , Edited by: Engle , R. F. and McFadden , D. Vol. IV , Amsterdam : Elsevier .
  • Stock , J. H. and Watson , M. W. 1996 . “Evidence on Structural Instability in Macroeconomic Time Series Relations” . Journal of Business and Economic Statistics , 14 : 11 – 30 .
  • Tanaka , K. 1990 . “Testing for a Moving Average Unit Root” . Econometric Theory , 6 : 433 – 444 .

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