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Analysis of stationary ans non-stationary economic time series with structural changes

Research Project

Project/Area Number 14330005
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionHiroshima University

Principal Investigator

MAEKAWA Koichi  Hiroshima University, Graduate School of Social Sciences, Professor, 大学院・社会科学研究科, 教授 (20033748)

Co-Investigator(Kenkyū-buntansha) YAMADA Hiroshi  Hiroshima University, Graduate School of Social Sciences, Associate Professor, 大学院・社会科学研究科, 助教授 (90292078)
HISAMATSU Hiroyuku  Kagawa University, Department Economics, Professor, 経済学部, 教授 (90228726)
TEE Kianhen  Kyoto University, Institute of Economic Research, visiting Associate Professor, 経済研究所, 客員助教授 (70325140)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥7,300,000 (Direct Cost: ¥7,300,000)
Fiscal Year 2004: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2003: ¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2002: ¥2,700,000 (Direct Cost: ¥2,700,000)
KeywordsStructural Change / ARCH / Unit root / Jump diffusion model / High frequency date of stock price / CUSUM test / Wavelet analysis / Marked point process / Normal Inverse Gaussian分布 / Generalized Hyperbolic / 株価収益率 / 日経225 / ジャンプ拡散過程 / Bipower test / GARCHモデル / ボラティリティの持続性 / 株価収益率の分布 / GH分布 / ジャンプ付き拡散過程 / マーク付きジャンプ過程 / ウェーブレット / ジャンプ過程 / 経済時系列 / 株価時系列 / シミュレーション分析 / ARIMAモデル / VARモデル
Research Abstract

Our main research results are as follows :
(1)We proposed a method of estimating break points in a time series regression with structural changes for I(1) and I(0) model By simulation it is shown that our method is superior to the existing methods.
(2)We proposed a CUSUM test for structural change in variance equation in ARCH(∞)model and derived the asymptotic distribution of the test. We also showed performance of our test by simulation and applied the test to Yen/Doller exchange rate.
(3)Through structural change analysis of economic time series we often encountered cases which seemed to have jump rather than structural changes. So we attracted jump diffusion process. We applied Kou's jump diffusion model and Barndorff-Nielsen and Shepard test for null of no jump. As the result we found that in many stock price processes there were jumps.
(4)We dealt with high frequency data of Japanese stock data. and found inherent movement of the data such as seasonal change, jump, and so on within a day. We applied a marked point process to model such data. We compared performance of several models by simulation study.
(5)We apply wavelet analysis to economic data including stock data and found that wavelet analysis were effective and more flexible than parametric model analysis in economic time series analysis.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (28 results)

All 2005 2004 2003 2002 Other

All Journal Article (21 results) Book (2 results) Publications (5 results)

  • [Journal Article] Jump diffusion models for Japanese stock market2005

    • Author(s)
      Koichi Maekawa
    • Journal Title

      Proceedings of the 2005 International Conference on Simulation and Modeling

      Pages: 547-555

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Wavelet-based beta estimation and Japanese industrial stock prices2005

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Economics Letters 12

      Pages: 85-88

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Do stock prices contain predictive information on business turning points? A wavelet analysis2005

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Financial Economics Letters 1

      Pages: 19-23

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estimating and forecasting instantaneous volatility through a duration model : An assessment based on VaR2005

    • Author(s)
      Takayuki Morimoto
    • Journal Title

      Applied Financial Economics (forthcoming)(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 最小マルチンゲール測度の下での高頻度データを利用したオプション価格付け2005

    • Author(s)
      森本孝之
    • Journal Title

      ジャフィージャーナル (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Wavelet-based estimation and Japanese industrial stock2005

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Economics Letters 12

      Pages: 85-88

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Do Stock prices contain predictive infprmation on business Turning points? A wavelet analysis2005

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Financial Economics Letters 1

      Pages: 19-23

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Wavelet-Based Beta Estimation and Japanese Industrial Stock Prices2005

    • Author(s)
      山田 宏
    • Journal Title

      Applied Economics Letters 12・2

      Pages: 85-88

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Do Stock Prices Contain Predictive Information on Business Turning Points? A Wavelet Analysis2005

    • Author(s)
      山田 宏, 本多祐三
    • Journal Title

      Applied Financial Economics Letters 1・1

      Pages: 19-23

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Estimating break points in a time series regression with structural changes2004

    • Author(s)
      Koichi Maekawa
    • Journal Title

      Mathematics and Computers in Simulation 64

      Pages: 95-101

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The cusum test for parameter change in regression models with ARCH errors2004

    • Author(s)
      Sangyeol Lee
    • Journal Title

      Journal of the Japan Statistical Society 34

      Pages: 173-188

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estinating break points in a time series with Structural changes2004

    • Author(s)
      Koichi Maekawa
    • Journal Title

      Mathematics and Computers in Simulation 64

      Pages: 95-101

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The Cusum Test for Parameter change in Regression Models with ARCH Errors2004

    • Author(s)
      前川功一, 得津康義, S.Lee
    • Journal Title

      Journal of Japan Statistical Society 34・2

      Pages: 173-188

    • NAID

      110003161359

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Estimating break points in a time series regression with structural changes2004

    • Author(s)
      Tee Kianheng, 前川功一, 何宗路
    • Journal Title

      Mathematics and Computers in simulation 64・1

      Pages: 95-101

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Asymptotic properties of the estimator of the long-run coefficient in a dynamic model with integrated regressors and serially correlated errors2003

    • Author(s)
      Zonglu He
    • Journal Title

      The Japan Economic Review 54

      Pages: 420-438

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic properties of the estimator of the long-run Coefficient in a dynamic model with integrated regressors and serially correlated errors2003

    • Author(s)
      Zonglu He
    • Journal Title

      The Japan Economic Review 54

      Pages: 420-438

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the linkage of real interest rates between the US and Canada : some additional empirical evidence2002

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      J.International Financial Markets, Institutions & Money 12

      Pages: 279-289

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Real interest rate equqlization : some empirical evidence from the three major world financial markets2002

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Economics 34

      Pages: 2069-2073

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the linkage of real interest rates between the US and Canada : some additional empirical evidence2002

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      J.International Financial Markets, Institute & Money 12

      Pages: 279-289

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Real interest rate equalization : some empirical evidence From the three maior world financial markets2002

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Economics 34

      Pages: 2069-2073

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estimating and forecasting instantaneous volatility Through a duration model : An assessment based on Var

    • Author(s)
      Takayuki Morimoto
    • Journal Title

      Applied Financial Economics (forthcoming)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Co-trending A Statistical System Analysis of Econometric Trends2003

    • Author(s)
      M.Hatarnaka
    • Total Pages
      115
    • Publisher
      Springer
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Handbook of Applied Econometrics and Statistical Inference (edited by Aman Ullah, Alan T.K.Wan, and Anoop Chaturvedi)(22章 SUR Models with Integrated Regressors, pp469-490を執筆)2002

    • Author(s)
      Koichi Maekawa
    • Total Pages
      718
    • Publisher
      Marcel Dekker, Inc.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] 前川功一, Tee Kianheng 他: "Estimating Breaking Points in a Time Series Regression with Structural Changes"Mathematics and Computer in Simulation. 64・1. 95-101 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 前川功一, 他2名: "Asymptotic Properties of the Estimator of the Long-Run Coefficient in a Dynamic Model with Integrated Regressors and Serially Correlated Errors"The Japanese Economic Review. 54・4. 420-438 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 畠中道雄, 山田宏: "Co-trending : A statistical System Analysis of Economic Trends"Springer. 115 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Koichi Maekawa, Michael McAleer, Zonglu He: "Asymptotic Properties of the Estimator of the Long-run Coefficient in a Dynamic Model with Integrate Regressors and Serially Correlated Errors"The Japanese Economic Revies. (近刊).

    • Related Report
      2002 Annual Research Report
  • [Publications] Koichi Maekawa, Zonglu He, Kianheng Tee: "Estimating break points in a Time Series Regression with Structural Changes"Mathematics and Computers in Simulation. (近刊).

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2021-04-07  

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