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Stable Algorithms For The State Space Model

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  • Piet De Jong

Abstract

. Numerically stable algorithms are developed for filtering, likelihood evaluation, generalized least squares computation and smoothing where data are generated by a state space model. The algorithms handle diffuse initial states in a numerically safe way. Singular innovation covariance matrices, such as those which arise in series with missing values, are dealt with. The algorithms generalize stable algorithms for ordinary least‐squares computations.

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  • Piet De Jong, 1991. "Stable Algorithms For The State Space Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 12(2), pages 143-157, March.
    • Handle: RePEc:bla:jtsera:v:12:y:1991:i:2:p:143-157
    DOI: 10.1111/j.1467-9892.1991.tb00074.x
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    1. Li, Gang & Song, Haiyan & Witt, Stephen F., 2006. "Time varying parameter and fixed parameter linear AIDS: An application to tourism demand forecasting," International Journal of Forecasting, Elsevier, vol. 22(1), pages 57-71.
    2. Garcia Marquez, Fausto Pedro & Pedregal Tercero, Diego Jose & Schmid, Felix, 2007. "Unobserved Component models applied to the assessment of wear in railway points: A case study," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1703-1712, February.
    3. Stern, David I., 2006. "An atmosphere-ocean time series model of global climate change," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1330-1346, November.
    4. Luis Fernando Melo & Fabio Nieto & Mario Ramos V., 2003. "A Leading Index For The Colombian Economic Activity," Borradores de Economia 1920, Banco de la Republica.
    5. Pollock, D. S. G., 2003. "Recursive estimation in econometrics," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 37-75, October.
    6. Maravall, Agustín & Peña, Daniel, 1992. "Missing observations and additive outliers in time series models," UC3M Working papers. Economics 2888, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Charles Perrings & David Stern, 2000. "Modelling Loss of Resilience in Agroecosystems: Rangelands in Botswana," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 16(2), pages 185-210, June.
    8. Eric Delattre & Richard Moussa, 2018. "Early retirement decisions: Lessons from a dynamic structural modelling," THEMA Working Papers 2018-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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