手法を比較
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| フーリエOLS（フーリエ拡張最小二乗法）× | 時変係数OLS（TVP-OLS）× | |
|---|---|---|
| 分野 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 2004 | 1976 |
| 提唱者≠ | Becker, Enders, and Hurn | Cooley & Prescott (1976); further developed by Harvey (1990) |
| 種類≠ | Augmented linear regression | Time-series regression with evolving coefficients |
| 原典≠ | Becker, R., Enders, W., & Hurn, S. (2004). A general test for time dependence in parameters. Journal of Applied Econometrics, 19(7), 899–906. DOI ↗ | Cooley, T. F., & Prescott, E. C. (1976). Estimation in the Presence of Stochastic Parameter Variation. Econometrica, 44(1), 167–184. DOI ↗ |
| 別名 | Fourier OLS, Fourier-augmented OLS, trigonometric OLS, smooth structural break OLS | TVP-OLS, time-varying coefficient regression, rolling OLS, locally weighted OLS |
| 関連≠ | 6 | 4 |
| 概要≠ | Fourier OLS is an OLS regression extended by adding low-frequency trigonometric (sine and cosine) terms to the regressor matrix. These Fourier components approximate smooth, gradual structural changes in the regression relationship over time without requiring knowledge of the number, timing, or form of the breaks. | Time-Varying Parameter OLS extends classical ordinary least squares to allow regression coefficients to change over time. Instead of assuming fixed slopes throughout the sample, the model treats each coefficient as a stochastic process, tracking how economic relationships evolve — making it well-suited for analysing structural change in time-series data. |
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