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- Title
The Marshall–Olkin Transmuted-G Family of Distributions.
- Authors
Afify, Ahmed Z.; Yousof, Haitham M.; Alizadeh, Morad; Ghosh, Indranil; Ray, Samik; Ozel, Gamze
- Abstract
We introduce a new family of univariate continuous distributions called the Marshall–Olkin transmuted-G family which extends the transmuted-G family pioneered by Shaw and Buckley (2007). Special models for the new family are provided. Some of its mathematical properties including quantile measure, explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of two applications to real data sets.
- Subjects
CONTINUOUS distributions; ENTROPY; GENERATING functions; MAXIMUM likelihood statistics; ORDER statistics
- Publication
Stochastics & Quality Control, 2020, Vol 35, Issue 2, p79
- ISSN
2367-2390
- Publication type
Article
- DOI
10.1515/eqc-2020-0009