Abstract
AbstractThis paper describes a moments estimator for a standard state-space model with coefficients generated by a random walk. The method calculates the conditional expectations of the coefficients, given the observations. A penalized least squares estimation is linked to the GLS (Aitken) estimates of the corresponding linear model with time-invariant parameters. The estimates are moments estimates. They do not require the disturbances to be Gaussian, but if they are, the estimates are asymptotically equivalent to maximum likelihood estimates. In contrast to Kalman filtering, no specification of an initial state or an initial covariance matrix is required. While the Kalman filter is one sided, the filter proposed here is two sided and therefore uses more of the available information for estimating intermediate states. Further, the proposed filter has a clear descriptive interpretation.
Funder
Ludwig-Maximilians-Universität München
Publisher
Springer Science and Business Media LLC
Subject
Statistics and Probability
Reference42 articles.
1. Athans, M. (1974). The importance of Kalman filtering methods for economic systems. In Annals of economic and social measurement (Vol. 3, No. 1, pp. 49–64). NBER Chapters. National Bureau of Economic Research, Inc. https://ideas.repec.org/h/nbr/nberch/9994.html
2. Baxa, J., Horváth, R., & Vašíček, B. (2014). How does monetary policy change? Evidence on inflation-targeting countries. Macroeconomic Dynamics, 18(3), 593–630. https://doi.org/10.1017/S1365100512000545
3. Cohen, G., Jalles, J., Loungani, P., & Marto, R. (2017). Emissions and growth: Trends and cycles in a globalized world. IMF Working Paper (WP17/191). https://www.imf.org/~/media/Files/Publications/WP/2017/wp17191.ashx
4. Cooley, T. F. & Prescott, E. C. (1973). An adaptive regression model. International Economic Review, 14(2), 364–371. https://ideas.repec.org/a/ier/iecrev/v14y1973i2p364-71.html
5. Dijkstra, T. (1995). Pyrrho’s lemma, or have it your way. Metrika: International Journal for Theoretical and Applied Statistics 42(1), 119–125. https://ideas.repec.org/a/spr/metrik/v42y1995i1p119-125.html
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