Recursive estimation in autoregressive models with additive outliers
Tomáš Cipra, Asunción Rubio, José Luis Canal (1993)
Kybernetika
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Tomáš Cipra, Asunción Rubio, José Luis Canal (1993)
Kybernetika
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Tomáš Cipra, I. Motyková (1987)
Commentationes Mathematicae Universitatis Carolinae
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Petr Franěk (2002)
Kybernetika
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The impact of additive outliers on a performance of the Kalman filter is discussed and less outlier-sensitive modification of the Kalman filter is proposed. The improved filter is then used to obtain an improved smoothing algorithm and an improved state-space model parameters estimation.
Tomáš Cipra, Radek Hendrych (2018)
Kybernetika
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The robust recursive algorithm for the parameter estimation and the volatility prediction in GARCH models is suggested. It seems to be useful for various financial time series, in particular for (high-frequency) log returns contaminated by additive outliers. The proposed procedure can be effective in the risk control and regulation when the prediction of volatility is the main concern since it is capable to distinguish and correct outlaid bursts of volatility. This conclusion is demonstrated...
Tomás Cipra, Asunción Rubio, José Trujillo (1991)
Extracta Mathematicae
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The recursive methods are popular in time series analysis since they are computationally efficient and flexible enough to treat various changes in character of data. This paper gives a survey of the most important type of these methods including their classification and relationships existing among them. Special attention is devoted to i) robustification of some recursive methods, capable of facing outliers in time series, and ii) modifications of recursive methods for time series with...