A new muth generated family of distributions with applications

Volume 11, Issue 10, pp 1171--1184 http://dx.doi.org/10.22436/jnsa.011.10.06
Publication Date: July 20, 2018 Submission Date: May 14, 2018 Revision Date: July 04, 2018 Accteptance Date: July 05, 2018

Authors

Abdullah M. Almarashi - Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia. M. Elgarhy - Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jeddah, Kingdom of Saudi Arabia.


Abstract

A new family of distributions called the Muth family of distributions is introduced and studied. Five special submodels of the proposed family are discussed. Some mathematical properties of the Muth family are studied. Explicit expressions for the probability weighted, moments, mean deviation and order statistics are investigated. Maximum likelihood procedure is used to estimate the unknown parameters. One real data set is employed to show the usefulness of the new family.


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ISRP Style

Abdullah M. Almarashi, M. Elgarhy, A new muth generated family of distributions with applications, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 10, 1171--1184

AMA Style

Almarashi Abdullah M., Elgarhy M., A new muth generated family of distributions with applications. J. Nonlinear Sci. Appl. (2018); 11(10):1171--1184

Chicago/Turabian Style

Almarashi, Abdullah M., Elgarhy, M.. "A new muth generated family of distributions with applications." Journal of Nonlinear Sciences and Applications, 11, no. 10 (2018): 1171--1184


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