On the estimation of Bell regression model using ridge estimator
The bell regression is used, when the response variable is in the form of counts with over dispersion. The bell regression coefficients are generally estimated using the maximum likelihood estimator (MLE). It is known that the performance of the traditional MLE is very sensitive to multicollinearity...
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| Vydáno v: | Communications in statistics. Simulation and computation Ročník 52; číslo 3; s. 854 - 867 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Taylor & Francis
04.03.2023
Taylor & Francis Ltd |
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| ISSN: | 0361-0918, 1532-4141 |
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| Abstract | The bell regression is used, when the response variable is in the form of counts with over dispersion. The bell regression coefficients are generally estimated using the maximum likelihood estimator (MLE). It is known that the performance of the traditional MLE is very sensitive to multicollinearity. Therefore, we propose a Bell ridge regression (BRR) as a solution to the multicollinearity problems. For the assessment of BRR, we conduct a Monte Carlo simulation study to monitor the performance of the proposed estimator where the mean squared error (MSE) is considered as an evaluation criterion. Also, two real examples are included to show the superiority of the BRR estimator. |
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| AbstractList | The bell regression is used, when the response variable is in the form of counts with over dispersion. The bell regression coefficients are generally estimated using the maximum likelihood estimator (MLE). It is known that the performance of the traditional MLE is very sensitive to multicollinearity. Therefore, we propose a Bell ridge regression (BRR) as a solution to the multicollinearity problems. For the assessment of BRR, we conduct a Monte Carlo simulation study to monitor the performance of the proposed estimator where the mean squared error (MSE) is considered as an evaluation criterion. Also, two real examples are included to show the superiority of the BRR estimator. |
| Author | Majid, Abdul Akram, Muhammad Nauman Amin, Muhammad |
| Author_xml | – sequence: 1 givenname: Muhammad orcidid: 0000-0002-7431-5756 surname: Amin fullname: Amin, Muhammad organization: Department of Statistics, University of Sargodha – sequence: 2 givenname: Muhammad Nauman orcidid: 0000-0001-6688-808X surname: Akram fullname: Akram, Muhammad Nauman organization: Department of Statistics, University of Sargodha – sequence: 3 givenname: Abdul orcidid: 0000-0002-3071-2610 surname: Majid fullname: Majid, Abdul organization: Pakistan Bureau of Statistics, Regional Office Multan |
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| SubjectTerms | Bell distribution Bell ridge regression Bells Maximum likelihood estimator Maximum likelihood estimators Mean squared error Monte Carlo simulation Multicollinearity Regression coefficients Regression models |
| Title | On the estimation of Bell regression model using ridge estimator |
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