Kumaraswamy type I half logistic family of distributions with applications

A new family of distributions called the Kumaraswamy type I half logistic is introduced and studied. The new family is extending well-known distributions as well as provides great flexibility to model specific real data and it is very easy in mathematical properties. Four new special models are pres...

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Bibliographic Details
Published in:	Gazi University Journal of Science Vol. 32; no. 1; pp. 333 - 349
Main Authors:	ElSherpieny,Elsayed, Elsehetry,Mahmoud
Format:	Journal Article
Language:	English
Published:	Gazi Üniversitesi Yayınları 01-01-2019
Subjects:	Bilim-Teknoloji Ankara Türkiye Maximum likelihood method Half logistic distribution Order statistics
Online Access:	Get full text
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Summary:	A new family of distributions called the Kumaraswamy type I half logistic is introduced and studied. The new family is extending well-known distributions as well as provides great flexibility to model specific real data and it is very easy in mathematical properties. Four new special models are presented. Some mathematical properties of the Kumaraswamy type I half logistic family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation and order statistics are investigated. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.
ISSN:	2147-1762