Extended Weibull log-logistic distribution
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 8, p. 523-534.

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A new distribution called the Weibull Generalized log logistic distribution is introduced along with a simple physical motivation. Several of its statistical properties are derived. Three applications are provided to illustrate the importance of the new distribution. The new distribution is shown to be better that other important competitive models via three applications. The method of maximum likelihood is used to estimate the unknown parameters.
DOI : 10.22436/jnsa.012.08.03
Classification : 62E05, 62F10
Keywords: Log-logistic distribution, Burr XII distribution, maximum likelihood, generating function, moments

Abouelmagd, T. H. M.  1 ; Hamed, Mohammed S.  1 ; Almamy, Jehan. A. Almamy 1 ; Ali, M. Masoom  2 ; Yousof, Haitham M.  3 ; Korkmaz, Mustafa C.  4

1 Management Information System Department, Taibah University, Saudi Arabia
2 Department of Mathematical Sciences, Ball State University, Muncie, USA
3 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
4 Department of Measurement and Evaluation, Artvin Coruh University, Artvin, Turkey
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     title = {Extended {Weibull} log-logistic distribution},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {523-534},
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Abouelmagd, T. H. M. ; Hamed, Mohammed S. ; Almamy, Jehan. A. Almamy; Ali, M. Masoom ; Yousof, Haitham M. ; Korkmaz, Mustafa C. . Extended Weibull log-logistic distribution. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 8, p. 523-534. doi : 10.22436/jnsa.012.08.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.08.03/

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