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Original Articles

Predictive Accuracy Gain From Disaggregate Sampling in ARIMA Models

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Pages 405-415 | Published online: 02 Jul 2012

REFERENCES

  • Abraham , B. and Ledolter , J. 1982 . “Forecast Efficiency of Systematically Sampled Time Series,” . Communications in Statistics, Part A—Theory and Methods , 11 : 2857 – 2868 .
  • Ahsanullah , M. and Wei , W. W. S. “Effects of Temporal Aggregation on Forecasts in an ARMA(1,1) Process,” . Proceedings of the Business and Economic Statistics Section . pp. 297 – 302 . American Statistical Association .
  • Amemiya , T. and Wu , R. Y. 1972 . “The Effect of Aggregation on Prediction in the Autoregressive Model,” . Journal of the American Statistical Association , 67 : 628 – 632 .
  • Anderson , B. D. O. and Moore , J. B. 1979 . Optimal Filtering , New York : Prentice-Hall .
  • Ansley , C. F. and Kohn , R. 1986 . “Prediction Mean Squared Error for State Space Models With Estimated Parameters,” . Biometrika , 71 : 467 – 473 .
  • Baillie , R. T. 1979 . “Asymptotic Prediction Mean Squared Error for Vector Autoregressive Models,” . Biometrika , 66 : 675 – 678 .
  • Brewer , K. R. W. 1973 . “Some Consequences of Temporal Aggregation and Systematic Sampling for ARMA and ARMAX Models,” . Journal of Econometrics , 1 : 133 – 154 .
  • Chow , G. C. and Lin , A. L. 1971 . “Best Linear Unbiased Interpolation, Distribution and Extrapolation of Time Series by Related Series,” . Review of Economics and Statistics , 53 : 372 – 375 .
  • De Nederlandsche Bank . 1986 . Kwartaalconfrontatie van Middelen en Bestedingen , Kluwer , the Netherlands : Deventer .
  • Engle , R. F. and Liu , T.-C. 1972 . “Effects of Aggregation over Time on Dynamic Characteristics of an Econometric Model,” . In Econometric Models of Cyclical Behaviors , Edited by: Hickman , B. G. Vol. 2 , 673 – 737 . New York : Columbia University Press .
  • Fernandez , R. B. 1981 . “A Methodological Note on the Estimation of Time Series,” . Review of Economics and Statistics , 63 : 471 – 476 .
  • Geweke , J. 1978 . “Temporal Aggregation in the Multiple Regression Model,” . Econometrica , 46 : 643 – 661 .
  • Hamilton , J. D. 1986 . “A Standard Error for the Estimated State Vector of a State Space Model,” . Journal of Econometrics , 33 : 387 – 397 .
  • Harvey , A. C. 1981 . Time Series Models , Oxford , , U.K. : Philip Allan .
  • Harvey , A. C. and Pierse , R. G. 1984 . “Estimation of Missing Observations in Economic Time Series,” . Journal of the American Statistical Association , 79 : 125 – 131 .
  • Kohn , R. 1982 . “When Is an Aggregate of a Time Series Efficiently Forecast by Its Past?” . Journal of Econometrics , 18 : 337 – 350 .
  • Litterman , R. B. 1983 . “A Random Walk, Markov Model for the Distribution of Time Series,” . Journal of Business and Economic Statistics , 1 : 169 – 173 .
  • Lütkepohl , H. 1984a . “Linear Transformations of Vector ARMA Processes,” . Journal of Econometrics , 19 : 283 – 293 .
  • Lütkepohl , H. 1984b . “Forecasting Contemporaneously Aggregated Vector ARMA Processes,” . Journal of Business and Economic Statistics , 2 : 201 – 214 .
  • Lütkepohl , H. 1986 . “Forecasting Vector ARMA With Systematically Missing Observations,” . Journal of Business and Economic Statistics , 4 : 375 – 390 .
  • Lütkepohl , H. 1987 . Forecasting Aggregated Vector ARMA-Processes (Lecture Notes in Economics and Mathematical Systems No. 284) , Berlin : Springer-Verlag .
  • Mundlak , Y. 1961 . “Aggregation Over Time in Distributed Lag Models,” . International Economic Review , 2 : 154 – 163 .
  • Nijman , T. E. 1985 . Missing Observations in Dynamic Macroeconomic Modeling , Amsterdam : Free University Press .
  • Nijman , T. E. and Palm , F. C. 1986 . “The Construction and Use of Approximations for Missing Quarterly Observations: A Model-Based Approach,” . Journal of Business and Economic Statistics , 4 : 47 – 58 .
  • Nijman , T. E. and Palm , F. C. “Parameter Identification in ARMA Processes in the Presence of Regular but Incomplete Sampling,” . Journal of Time Series Analysis. , (in press)
  • Palm , F. C. and Nijman , T. E. 1984 . “Missing Observations in the Dynamic Regression Model,” . Econometrica , 52 : 1415 – 1435 .
  • Phillips , P. C. B. 1979 . “The Sampling Distribution of Forecasts From a First Order Autoregression,” . Journal of Econometrics , 9 : 241 – 261 .
  • Priestley , M. B. 1981 . Spectral Analysis and Time Series , Vols. 1 and 2 , London : Academic Press .
  • Rose , D. E. 1977 . “Forecasting Aggregates of Independent ARIMA-Processes,” . Journal of Econometrics , 5 : 325 – 345 .
  • Tiao , G. C. and Guttman , I. 1980 . “Forecasting Contemporal Aggregates of Multiple Time Series,” . Journal of Econometrics , 12 : 219 – 230 .
  • Wei , W. W. S. 1978 . “The Effect of Temporal Aggregation on Parameter Estimation in Distributed Lag Models,” . Journal of Econometrics , 8 : 237 – 246 .
  • Weiss , A. A. 1984 . “Systematic Sampling and Temporal Aggregation in Time Series Models,” . Journal of Econometrics , 26 : 271 – 281 .
  • Yamamoto , T. 1976 . “Asymptotic Mean Squared Error Prediction for an Autoregressive Model With Estimated Coefficients,” . Applied Statistics , 25 : 123 – 127 .
  • Zellner , A. and Montmarquette , C. 1971 . “A Study of Some Aspects of Temporal Aggregation Problems in Econometric Analysis,” . Review of Economics and Statistics , 53 : 335 – 342 .

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