A New Flexible Family of Continuous Distributions: The Additive Odd-G Family

Emrah Altun, Mustafa Ç. Korkmaz, Mahmoud El-Morshedy and Mohamed S. Eliwa
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Emrah Altun: Department of Mathematics, Bartin University, Bartin 74100, Turkey
Mustafa Ç. Korkmaz: Department of Measurement and Evaluation, Artvin Çoruh University, Artvin 08000, Turkey
Mahmoud El-Morshedy: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Mohamed S. Eliwa: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2021, vol. 9, issue 16, 1-17

Abstract: This paper introduces a new family of distributions based on the additive model structure. Three submodels of the proposed family are studied in detail. Two simulation studies were performed to discuss the maximum likelihood estimators of the model parameters. The log location-scale regression model based on a new generalization of the Weibull distribution is introduced. Three datasets were used to show the importance of the proposed family. Based on the empirical results, we concluded that the proposed family is quite competitive compared to other models.

Keywords: generalized distribution family; regression; serial systems; additive family; odd log-logistic family; odd Weibull family (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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