Tommaso, Proietti and Alessandra, Luati (2012): Maximum likelihood estimation of time series models: the Kalman filter and beyond.
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Abstract
The purpose of this chapter is to provide a comprehensive treatment of likelihood inference for state space models. These are a class of time series models relating an observable time series to quantities called states, which are characterized by a simple temporal dependence structure, typically a first order Markov process.
The states have sometimes substantial interpretation. Key estimation problems in economics concern latent variables, such as the output gap, potential output, the nonacceleratinginflation rate of unemployment, or NAIRU, core inflation, and so forth. Timevarying volatility, which is quintessential to finance, is an important feature also in macroeconomics. In the multivariate framework relevant features can be common to different series, meaning that the driving forces of a particular feature and/or the transmission mechanism are the same.
The objective of this chapter is reviewing this algorithm and discussing maximum likelihood inference, starting from the linear Gaussian case and discussing the extensions to a nonlinear and non Gaussian framework.
Item Type:  MPRA Paper 

Original Title:  Maximum likelihood estimation of time series models: the Kalman filter and beyond 
Language:  English 
Keywords:  Time series models; Unobserved components; 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C2  Single Equation Models ; Single Variables > C22  TimeSeries Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes 
Item ID:  41981 
Depositing User:  Tommaso Proietti 
Date Deposited:  17 Oct 2012 12:33 
Last Modified:  02 Oct 2019 00:53 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/41981 
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