Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26802
Title: | Modelling overdispersion with integer-valued moving average processes |
Author: | Silva, Maria Eduarda Silva, Isabel Torres, Cristina |
Keywords: | Count time series Overdispersion Bivariate time series INAR models Negative binomial |
Issue Date: | Mar-2019 |
Publisher: | Springer International Publishing |
Abstract: | A new first-order integer-valued moving average, INMA(1), model based on the negative binomial thinning operation defined by Risti´c et al. [21] is proposed and characterized. It is shown that this model has negative binomial (NB) marginal distribution when the innovations follow a NB distribution and therefore it can be used in situations where the data present overdispersion. Additionally, this model is extended to the bivariate context. The Generalized Method of Moments (GMM) is used to estimate the unknown parameters of the proposed models and the results of a simulation study that intends to investigate the performance of the method show that, in general, the estimates are consistent and symmetric. Finally, the proposed model is fitted to a real dataset and the quality of the adjustment is evaluated. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26802 |
DOI: | 10.1007/978-3-030-28665-1 |
ISBN: | 978-3-030-28664-4 |
ISSN: | 2194-1009 |
Publisher Version: | https://link.springer.com/book/10.1007/978-3-030-28665-1 |
Appears in Collections: | CIDMA - Capítulo de livro PSG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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PROMS2019_MES_IMS_CT_repositorio.pdf | 109.24 kB | Adobe PDF | View/Open |
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