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1997 Fiscal Year Final Research Report Summary

Nonlinear and nonstationary models in econometric analysis

Research Project

Project/Area Number 08630023
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionUniversity of Tokyo

Principal Investigator

YAJIMA Yoshihiro  University of Tokyo, Faculty of Economics, Professor, 大学院・経済学研究科, 教授 (70134814)

Co-Investigator(Kenkyū-buntansha) KUNITOMO Naoto  University of Tokyo, Faculty of Economics, Professor, 大学院・経済学研究科, 教授 (10153313)
Project Period (FY) 1996 – 1997
Keywordsnonstationary model / long-memory model / seasonal adjustment method / nonlinear model / missing observations / autoregressive model / sample autocorrelation
Research Abstract

Yajima investigated an effect of missing observations on estimation of nonstationary unit root processes and stationary long memory models.
He considered the two estimations for unit root processe. The first one is a Yule-Walker type estimator and the second one is a least-squares type estimator.
He derived the limiting distributions of these estimators. Next he introduced the third estimator, a sample-correlation coefficient estimator. Then he clarified their asymptotic difference if we apply them to estimate the autocorrelation function of both short-memory and long-memory stationary models.
Kunitomo considered X-11-ARIMA,a seasonal adjustment method which has been recently developed by Bureau of Census, Department of Commerce in U.S.A.He clarified its theoretical properties and topics which should be solved in future. He also proved the limiting distribution of the maximum likelihood estimator of a simultaneous switching autoregressive model proposed by himself.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] Nishino Haruhisa, Yajima Yoshihiro: "On parameter estimation of unit root processes with missing observations" Discussion Paper FacuIty of Economics University of Tokyo. F-19. 1-39 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yajima Yoshihiro, Nishino Haruhisa: "Estimation of the autocorreIation furction of a stationary time series with missing observations" Discussion Paper FacuIty of Economics University of Tokyo. F-1. 1-41 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kunitomo Naoto: "On estimation of the simaItaneous switching autoregressive modeIc" Discussion Paper FacuIty of Economics University of Tokyo. F-31. 1-18 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 国友 直人: "季節調整法X-12-ARIMAの特長と問題点" 経済統計研究. 25. 13-55 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Haruhisa Nishino and Yoshihiro Yajima: "On parameter estimation of unit root processes with missing observations" Discussion paper, Faculty of Economics University of Tokyo. F-19. 1-39 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yoshihiro Yajima and Haruhisa Nishino: "Estimation of the auto correlation function of a stationary time series with missing observations" Discussion paper, Faculty of Economics University of Tokyo. F-1. 1-41 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Naoto Kunitomo: "On estimation of the simultaneous switching autoregressive models" Discussion paper, Faculty of Economics University of Tokyo. F-31. 1-18 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Naoto Kunitomo: "On seasonal adjustment method X-12-ARIMA (in Japanese)" Economic Statistics (Keizai Tokei). 25. 13-55 (1997)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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