Parameter Estimation for a Class of Lifetime Models
Our purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. We point out that the commonly used two-...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/950401 |
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| _version_ | 1832563785364144128 |
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| author | Xinyang Ji Shunhou Fan Wei Fan |
| author_facet | Xinyang Ji Shunhou Fan Wei Fan |
| author_sort | Xinyang Ji |
| collection | DOAJ |
| description | Our purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. We point out that the commonly used two-step method (TSM), which splits the model and estimate parameters separately, has limitation. Instead, we apply the Marquardt’s method (MM) to implement parametric estimation directly for the model and compare these two methods of parametric estimation by random simulation. Our results show that MM has better effect of data fitting, more reasonable parametric estimates, and smaller prediction error compared with TSM. |
| format | Article |
| id | doaj-art-7adf8e581cac4054a96d386e5efac1a6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7adf8e581cac4054a96d386e5efac1a62025-02-03T01:12:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/950401950401Parameter Estimation for a Class of Lifetime ModelsXinyang Ji0Shunhou Fan1Wei Fan2School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaComposites Research Institute of Tianjin Polytechnic University, Tianjin and Education, Ministry Key Laboratory of Advanced Textile Composite Materials, Tianjin 300387, ChinaOur purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. We point out that the commonly used two-step method (TSM), which splits the model and estimate parameters separately, has limitation. Instead, we apply the Marquardt’s method (MM) to implement parametric estimation directly for the model and compare these two methods of parametric estimation by random simulation. Our results show that MM has better effect of data fitting, more reasonable parametric estimates, and smaller prediction error compared with TSM.http://dx.doi.org/10.1155/2014/950401 |
| spellingShingle | Xinyang Ji Shunhou Fan Wei Fan Parameter Estimation for a Class of Lifetime Models Abstract and Applied Analysis |
| title | Parameter Estimation for a Class of Lifetime Models |
| title_full | Parameter Estimation for a Class of Lifetime Models |
| title_fullStr | Parameter Estimation for a Class of Lifetime Models |
| title_full_unstemmed | Parameter Estimation for a Class of Lifetime Models |
| title_short | Parameter Estimation for a Class of Lifetime Models |
| title_sort | parameter estimation for a class of lifetime models |
| url | http://dx.doi.org/10.1155/2014/950401 |
| work_keys_str_mv | AT xinyangji parameterestimationforaclassoflifetimemodels AT shunhoufan parameterestimationforaclassoflifetimemodels AT weifan parameterestimationforaclassoflifetimemodels |