Forecasting of Categorical Time Series Using a Regression Model

Verfasser / Beitragende:
[Helmut Pruscha, Axel Göttlein]
Ort, Verlag, Jahr:
2003
Enthalten in:
Economic Quality Control, 18/2(2003-10), 223-240
Format:
Artikel (online)
ID: 378847724
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024 7 0 |a 10.1515/EQC.2003.223  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.1515/EQC.2003.223 
245 0 0 |a Forecasting of Categorical Time Series Using a Regression Model  |h [Elektronische Daten]  |c [Helmut Pruscha, Axel Göttlein] 
520 3 |a This paper deals with time series of categorical or ordinal variables, which are combined with time varying covariates. The conditional expectations (probabilities) are modelled as a regression model in a GLM-type manner, its parameters are estimated using a (partial) likelihood-approach. Special attention is given to the multivariate and the cumulative logistic regression model, with a regression term defined by a recursive scheme. The main concern is directed at forecasts for such time series. Using an approximation formula for conditional expectations l-step predictors are developed. Bias and mean square errors are estimated by using expansion formulas and by employing Box-Jenkins as well as nonparametric methods. The procedures proposed are numerically applied to a data set of yearly forest health inventories. 
540 |a © Heldermann Verlag 
690 7 |a Categorical time series  |2 nationallicence 
690 7 |a multivariate logistic regression  |2 nationallicence 
690 7 |a cumulative regression models  |2 nationallicence 
690 7 |a forecast methods  |2 nationallicence 
690 7 |a generalized linear models  |2 nationallicence 
690 7 |a forest inventory  |2 nationallicence 
700 1 |a Pruscha  |D Helmut  |u Mathematical Institute, University of Munich, Theresienstr. 39, D-80333 Munich, Germany. pruscha@mathematik.uni-muenchen.de  |4 aut 
700 1 |a Göttlein  |D Axel  |u Forest Nutrition and Water Resources, Technical University of Munich, Am Hochanger 13, D-85354 Freising, Germany. goettlein@forst.tu-muenchen.de  |4 aut 
773 0 |t Economic Quality Control  |d Walter de Gruyter GmbH & Co. KG  |g 18/2(2003-10), 223-240  |x 0940-5151  |q 18:2<223  |1 2003  |2 18  |o EQC 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Pruscha  |D Helmut  |u Mathematical Institute, University of Munich, Theresienstr. 39, D-80333 Munich, Germany. pruscha@mathematik.uni-muenchen.de  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Göttlein  |D Axel  |u Forest Nutrition and Water Resources, Technical University of Munich, Am Hochanger 13, D-85354 Freising, Germany. goettlein@forst.tu-muenchen.de  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Economic Quality Control  |d Walter de Gruyter GmbH & Co. KG  |g 18/2(2003-10), 223-240  |x 0940-5151  |q 18:2<223  |1 2003  |2 18  |o EQC 
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