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Statistical Inference on Multivariate Nonlinear Time Series Models : Simulation Based Approach

Research Project

Project/Area Number 10630020
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionTOHOKU UNIVERSITY

Principal Investigator

TERUI Nobuhiko  Graduate School of Economics and Management, Tohoku University, Professor, 大学院・経済学研究科, 教授 (50207495)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsCombined forecast / Threshold Model / Exp AR Model / Time Varying Model / Predictive Density / 閾値自己回帰モデル / 結合予測量
Research Abstract

Combined forecasts from a linear and a nonlinear model are investigated for time series with possibly nonlinear characteristics. The forecasts are combined by a constant coefficient regression method as well as a time varying method. The time varying method allows for a locally (non)linear model. The methods are applied to data from two kinds of disciplines : the Canadian lynx and sunspot series from the natural sciences, and Nelson-Plosser's U.S. series from economics. It is shown that the combined forecasts perform well, especially with time varying coefficients. This result holds for out of sample performance for the sunspot and Canadian lynx number series, but it does not uniformly hold for economic time series.
Further this project considered a framework of testing continuous time nonlinear business cycle models by using discrete observations through time discretization in terms of "Local Linearization(L.L.)" method. We employ a Bayesian inference on the conditions for the models to be valid as business cycle models, which are represented in the form of inequality of some function of parameters. A computationally efficient algorithm of Monte Carlo integration for that problem is proposed and applied to data of the U.S. and Japan.
Finally, for analyzing multivariate market share time series, I proposed a dynamic market share model with "logical consistency" by using Bayesian VAR model. The proposed method makes it possible to forecast not only the values of market share by themselves, but also various dynamic market share relations across different brands or companies.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] Nobuhiko Terui and Herman van Dijk: "Composite Forecasts of Linear and Nonlinear Time Series Models"Working Paper, Institute of Economic Research, Kyoto Univ.. A-49. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Nobuhiko Terui: "Forecasting Dynamic Market Share Relationships"Marketing Intelligence and Planning. 18. 67-77 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Nobuhiko Terui and Herman van Dijk: "Composite Forecasts of Linear and Nonlinear Time Series Models"Working Paper, Institute of Economic Research Kyoto University. A-49. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Nobuhiko Terui: "Forecasting Dynamic Market Share Relationships"Marketing Intelligence and Planning. vol. 18 (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Nobuhiko Terui and Herman van Pijk: "Composite Forecasts of Linear and Nonlinear Time Series Models"Working paper, Institute of Economic Research, Kyoto Univ. A-49. (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuhiko Terui: "Forecasting Dynamic Market Share Relationships"Marketing Intelligence and Planning. 18.No.2. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuhiko Terui, Herman van Dijk: "Composite Forecasts of Linear and Nonlinear Time Sevice Models" Discussin Paper, Center for the Study of Complex Economic Systems, Institute of Economic Researchi, Kyoto University. A-49. 1-29 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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