Quadratic estimating functions for Nbingarch model
Time series of counts has been widely used in many real-world applications. In this paper, we derive the quadratic estimating functions for negative binomial GARCH, known as NBINGARCH (p,q) model. Specifically, we derive the optimal function of NBINGARCH(1,1) and obtain the estimated parameters of i...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/81077/ http://irep.iium.edu.my/81077/7/81077%20program%20book%20and%20abstract.pdf |
| _version_ | 1848789074166415360 |
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| author | Mohamed, Ibrahim Mohamad, Nurul Najihah Thavaneswaran, A. Ng, Kok Hau |
| author_facet | Mohamed, Ibrahim Mohamad, Nurul Najihah Thavaneswaran, A. Ng, Kok Hau |
| author_sort | Mohamed, Ibrahim |
| building | IIUM Repository |
| collection | Online Access |
| description | Time series of counts has been widely used in many real-world applications. In this paper, we derive the quadratic estimating functions for negative binomial GARCH, known as NBINGARCH (p,q) model. Specifically, we derive the optimal function of NBINGARCH(1,1) and obtain the estimated parameters of interest via simulation. We show that the performance of the quadratic estimating functions method is superior compared to estimating functions and maximum likelihood methods. For illustration, we fit the NBINGARCH(1,1) on the poliomyelitis cases in the United State from 1970 to 1983. |
| first_indexed | 2025-11-14T17:50:56Z |
| format | Proceeding Paper |
| id | iium-81077 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:50:56Z |
| publishDate | 2019 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-810772020-07-16T02:32:39Z http://irep.iium.edu.my/81077/ Quadratic estimating functions for Nbingarch model Mohamed, Ibrahim Mohamad, Nurul Najihah Thavaneswaran, A. Ng, Kok Hau QA276 Mathematical Statistics Time series of counts has been widely used in many real-world applications. In this paper, we derive the quadratic estimating functions for negative binomial GARCH, known as NBINGARCH (p,q) model. Specifically, we derive the optimal function of NBINGARCH(1,1) and obtain the estimated parameters of interest via simulation. We show that the performance of the quadratic estimating functions method is superior compared to estimating functions and maximum likelihood methods. For illustration, we fit the NBINGARCH(1,1) on the poliomyelitis cases in the United State from 1970 to 1983. 2019 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/81077/7/81077%20program%20book%20and%20abstract.pdf Mohamed, Ibrahim and Mohamad, Nurul Najihah and Thavaneswaran, A. and Ng, Kok Hau (2019) Quadratic estimating functions for Nbingarch model. In: 62nd ISI World Statistics Congress 2019, 18th until 23rd August 2019, Kuala Lumpur. (Unpublished) |
| spellingShingle | QA276 Mathematical Statistics Mohamed, Ibrahim Mohamad, Nurul Najihah Thavaneswaran, A. Ng, Kok Hau Quadratic estimating functions for Nbingarch model |
| title | Quadratic estimating functions for Nbingarch model |
| title_full | Quadratic estimating functions for Nbingarch model |
| title_fullStr | Quadratic estimating functions for Nbingarch model |
| title_full_unstemmed | Quadratic estimating functions for Nbingarch model |
| title_short | Quadratic estimating functions for Nbingarch model |
| title_sort | quadratic estimating functions for nbingarch model |
| topic | QA276 Mathematical Statistics |
| url | http://irep.iium.edu.my/81077/ http://irep.iium.edu.my/81077/7/81077%20program%20book%20and%20abstract.pdf |