Abstract
This paper estimates Japan’s output gap using the recently developed ℓ 1 trend filter, which is an alternative to the popular Hodrick–Prescott (HP) filter. This new filter provides a piecewise linear trend line, which means it possibly provides better output gap estimates than the HP filter does for an economy such as Japan that has experienced some structural breaks.
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References
Bai J, Perron P (1998) Estimating and testing linear models with multiple structural changes. Econometrica 66: 47–78
Bai J, Perron P (2003) Computation and analysis of multiple structural change models. J Appl Econ 18: 1–22
Cerra V, Saxena SC (2000) Alternative methods of estimating potential output and the output gap: an application to Sweden. IMF Working Paper No. WP/00/59
Fang W, Miller SM (2009) Modeling the volatility of real GDP growth: the case of Japan revisited. Jpn World Econ 21: 312–324
Giorno C, Richardson P, Roseveare D,van den Noord P (1995) Potential output, output gaps and structural budget balances. OECD Econ Stud 24: 167–209
Gómez V (2001) The use of Butterworth filters for trend and cycle estimation in economic time series. J Bus Econ Stat 19(3): 365–373
Hatanaka M, Yamada H (2003) Co-trending: a statistical system analysis of economic trends. Springer, Tokyo
Hodrick RJ, Prescott EC (1997) Postwar U.S. business cycles: an empirical investigation. J Money Credit Bank 29(1): 1–16
Kim S, Koh K, Boyd S, Gorinevsky D (2009) ℓ 1 trend filtering. SIAM Rev 51(2): 339–360
Maravall A, del Río A (2007) Temporal aggregation, systematic sampling, and the Hodrick–Prescott filter. Comput Stat Data Anal 52: 975–998
Rappoport P, Reichlin L (1989) Segmented trends and non-stationary time series. Econ J 99: 168–177
Sato K (2002) From fast to last: the Japanese economy in the 1990s. J Asian Econ 13: 213–235
Tibshirani R (1996) Regression shrinkage and selection via the lasso. J R Stat Soc B 58(1): 267–288
Yamada H (2011) A note on bandpass filters based on the Hodrick–Prescott filter and the OECD system of composite leading indicators. J Bus Cycle Meas Anal 2011(2): 105–109
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Yamada, H., Jin, L. Japan’s output gap estimation and ℓ 1 trend filtering. Empir Econ 45, 81–88 (2013). https://doi.org/10.1007/s00181-012-0625-x
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DOI: https://doi.org/10.1007/s00181-012-0625-x