Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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OriginalspracheDeutsch
Titel des SammelwerksInternational Work-Conference on Time Series Analysis
UntertitelITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics
Herausgeber/-innenI. Rojas , H. Pomares , O. Valenzuela
Seiten323-337
Seitenumfang14
ISBN (elektronisch)978-3-319-96944-2
PublikationsstatusVeröffentlicht - 4 Okt. 2018

Abstract

In this contribution, we consider an expectation conditional maximization either (ECME) algorithm for the purpose of estimating the parameters of a linear observation model with time-dependent autoregressive (AR) errors. The degree of freedom (d.o.f.) of the underlying family of scaled t-distributions, which is used to account for outliers and heavy-tailedness of the white noise components, is adapted to the data, resulting in a self-tuning robust estimator. The time variability of the AR coefficients is described by a second linear model. We improve the estimation of the d.o.f. in a previous version of the ECME algorithm, which involves a zero search, by using an interval Newton method. We model the transient oscillations of a shaker table measured by a high-accuracy accelerometer, and we analyze various criteria for selecting a simultaneously parsimonious and realistic time-variability model.

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Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors. / Kargoll, Boris; Alkhatib, Hamza; Omidalizarandi, Mohammad et al.
International Work-Conference on Time Series Analysis: ITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics. Hrsg. / I. Rojas ; H. Pomares ; O. Valenzuela . 2018. S. 323-337.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Kargoll, B, Alkhatib, H, Omidalizarandi, M & Schuh, W-D 2018, Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors. in I Rojas , H Pomares & O Valenzuela (Hrsg.), International Work-Conference on Time Series Analysis: ITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics. S. 323-337. https://doi.org/10.1007/978-3-319-96944-2_22
Kargoll, B., Alkhatib, H., Omidalizarandi, M., & Schuh, W.-D. (2018). Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors. In I. Rojas , H. Pomares , & O. Valenzuela (Hrsg.), International Work-Conference on Time Series Analysis: ITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics (S. 323-337) https://doi.org/10.1007/978-3-319-96944-2_22
Kargoll B, Alkhatib H, Omidalizarandi M, Schuh WD. Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors. in Rojas I, Pomares H, Valenzuela O, Hrsg., International Work-Conference on Time Series Analysis: ITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics. 2018. S. 323-337 doi: 10.1007/978-3-319-96944-2_22
Kargoll, Boris ; Alkhatib, Hamza ; Omidalizarandi, Mohammad et al. / Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors. International Work-Conference on Time Series Analysis: ITISE 2017: Time Series Analysis and Forecasting, Contributions to Statistics. Hrsg. / I. Rojas ; H. Pomares ; O. Valenzuela . 2018. S. 323-337
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abstract = "In this contribution, we consider an expectation conditional maximization either (ECME) algorithm for the purpose of estimating the parameters of a linear observation model with time-dependent autoregressive (AR) errors. The degree of freedom (d.o.f.) of the underlying family of scaled t-distributions, which is used to account for outliers and heavy-tailedness of the white noise components, is adapted to the data, resulting in a self-tuning robust estimator. The time variability of the AR coefficients is described by a second linear model. We improve the estimation of the d.o.f. in a previous version of the ECME algorithm, which involves a zero search, by using an interval Newton method. We model the transient oscillations of a shaker table measured by a high-accuracy accelerometer, and we analyze various criteria for selecting a simultaneously parsimonious and realistic time-variability model.",
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