On stability Conditions of Pareto Autoregressive model
This paper concerned with studding a stability conditions of the proposed non-linear autoregressive time series model Known as Pareto Autoregressive model, acronym is defined by Pareto . A dynamical method Known as local linearization approximation method was used to obtain the stability condition...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Tikrit University
2020-12-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/297 |
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| _version_ | 1850114692338417664 |
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| author | Osama A. Hamdi Azher A. Mohammad Mundher A. Khaleel |
| author_facet | Osama A. Hamdi Azher A. Mohammad Mundher A. Khaleel |
| author_sort | Osama A. Hamdi |
| collection | DOAJ |
| description |
This paper concerned with studding a stability conditions of the proposed non-linear autoregressive time series model Known as Pareto Autoregressive model, acronym is defined by Pareto . A dynamical method Known as local linearization approximation method was used to obtain the stability condition of a non-zero singular point of Pareto model. In addition, we obtain the orbital stability condition of a limit cycle in terms of model parameters when the Pareto possesses a limit cycle with period .
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| format | Article |
| id | doaj-art-7268b260051f4e5f9f2d1abb6ba06a8c |
| institution | OA Journals |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-7268b260051f4e5f9f2d1abb6ba06a8c2025-08-20T02:36:46ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262020-12-0125510.25130/tjps.v25i5.297On stability Conditions of Pareto Autoregressive modelOsama A. HamdiAzher A. MohammadMundher A. Khaleel This paper concerned with studding a stability conditions of the proposed non-linear autoregressive time series model Known as Pareto Autoregressive model, acronym is defined by Pareto . A dynamical method Known as local linearization approximation method was used to obtain the stability condition of a non-zero singular point of Pareto model. In addition, we obtain the orbital stability condition of a limit cycle in terms of model parameters when the Pareto possesses a limit cycle with period . https://tjpsj.org/index.php/tjps/article/view/297Pareto autoregressive modelNon-linear time series modelStabilityLocal linearization MethodLimit cycle |
| spellingShingle | Osama A. Hamdi Azher A. Mohammad Mundher A. Khaleel On stability Conditions of Pareto Autoregressive model Tikrit Journal of Pure Science Pareto autoregressive model Non-linear time series model Stability Local linearization Method Limit cycle |
| title | On stability Conditions of Pareto Autoregressive model |
| title_full | On stability Conditions of Pareto Autoregressive model |
| title_fullStr | On stability Conditions of Pareto Autoregressive model |
| title_full_unstemmed | On stability Conditions of Pareto Autoregressive model |
| title_short | On stability Conditions of Pareto Autoregressive model |
| title_sort | on stability conditions of pareto autoregressive model |
| topic | Pareto autoregressive model Non-linear time series model Stability Local linearization Method Limit cycle |
| url | https://tjpsj.org/index.php/tjps/article/view/297 |
| work_keys_str_mv | AT osamaahamdi onstabilityconditionsofparetoautoregressivemodel AT azheramohammad onstabilityconditionsofparetoautoregressivemodel AT mundherakhaleel onstabilityconditionsofparetoautoregressivemodel |