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Time series analysis of non-gaussian observations based on state space models from both classical and bayesian perspectives Author info | Abstract | Publisher info | Download info | Related research | Statistics Durbin, J.
Koopman, S.J. (Tilburg University, Center for Economic Research)
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The analysis of non-Gaussian time series using state space models is considered from both classical and Bayesian perspectives. The treatment in both cases is based on simulation using importance sampling and antithetic variables; Monte Carlo Markov chain methods are not employed. Non-Gaussian disturbances for the state equation as well as for the observation equation are considered. Methods for estimating conditional and posterior means of functions of the state vector given the observations, and the mean square errors of their estimates, are developed. These methods are extended to cover the estimation of conditional and posterior densities and distribution functions. Choice of importance sampling densities and antithetic variables is discussed. The techniques work well in practice and are computationally e cient. Their use is illustrated by applying to a univariate discrete time series, a series with outliers and a volatility series.
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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number
142.
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Date of creation: 1998Date of revision:
Handle: RePEc:dgr:kubcen:1998142Contact details of provider: Web page: http://center.uvt.nl
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Find related papers by JEL classification: C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
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