The Exponentiated Weibull-H Family of Distributions: Theory and Applications

A new class of continuous distributions called the exponentiated Weibull-H family is proposed and studied. The proposed class extends the Weibull-H family of probability distributions introduced by Bourguignon et al. (J Data Sci 12:53–68, 2014 ). Some special models of the new family are presented....

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-08, Vol.14 (4), p.1-22, Article 155
Main Authors: Cordeiro, Gauss M., Afify, Ahmed Z., Yousof, Haitham M., Pescim, Rodrigo R., Aryal, Gokarna R.
Format: Article
Language:English
Subjects:
Computer simulation
Economic models
Formulas (mathematics)
Mathematical models
Mathematics
Mathematics and Statistics
Parameter estimation
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Summary:A new class of continuous distributions called the exponentiated Weibull-H family is proposed and studied. The proposed class extends the Weibull-H family of probability distributions introduced by Bourguignon et al. (J Data Sci 12:53–68, 2014 ). Some special models of the new family are presented. Its basic mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating function, Rényi and Shannon entropies, order statistics, and probability weighted moments are derived. The maximum-likelihood method is adopted to estimate the model parameters and a simulation study is performed. The flexibility of the generated family is proved empirically by means of two applications to real data sets.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-0955-1