Abstract
The fitting and modeling of skewed, complex, symmetric, and asymmetric datasets is an exciting research topic in many fields of applied sciences: notably, lifetime, medical, and financial sciences. This paper introduces a heavy-tailed Nadarajah Haghighi model by compounding the heavy-tailed family and Nadarajah Haghighi distribution. The model obtained has three parameters that account for the scale and shape of the distribution. The proposed distribution’s fundamental characteristics, such as the probability density, cumulative distribution, hazard rate, and survival functions, are provided, several key statistical properties are established, and several entropy information measures are proposed. Estimation of model parameters is performed via a maximum likelihood estimator procedure. Further, different simulation experiments are conducted to demonstrate the proposed estimator’s performance using measures like the average estimate, the average bias, and the associated mean square error. Finally, we apply our proposed model to analyze three different real datasets. In our illustration, we compare the practicality of the recommended model with several well-known competing models.
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MDPI and ACS Style
Alshawarbeh, E.; Alghamdi, F.M.; Meraou, M.A.; Aljohani, H.M.; Abdelraouf, M.; Riad, F.H.; Alsheikh, S.M.A.; Alsolmi, M.M.
A Novel Three-Parameter Nadarajah Haghighi Model: Entropy Measures, Inference, and Applications. Symmetry 2024, 16, 751.
https://0-doi-org.brum.beds.ac.uk/10.3390/sym16060751
AMA Style
Alshawarbeh E, Alghamdi FM, Meraou MA, Aljohani HM, Abdelraouf M, Riad FH, Alsheikh SMA, Alsolmi MM.
A Novel Three-Parameter Nadarajah Haghighi Model: Entropy Measures, Inference, and Applications. Symmetry. 2024; 16(6):751.
https://0-doi-org.brum.beds.ac.uk/10.3390/sym16060751
Chicago/Turabian Style
Alshawarbeh, Etaf, Fatimah M. Alghamdi, Mohammed Amine Meraou, Hassan M. Aljohani, Mahmoud Abdelraouf, Fathy H. Riad, Sara Mohamed Ahmed Alsheikh, and Meshayil M. Alsolmi.
2024. "A Novel Three-Parameter Nadarajah Haghighi Model: Entropy Measures, Inference, and Applications" Symmetry 16, no. 6: 751.
https://0-doi-org.brum.beds.ac.uk/10.3390/sym16060751
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