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Dr. Ahmed Z. Afify :: Publications:

Title:
The complementary geometric transmuted-G family of distributions: model, properties and application
Authors: Afify, Ahmed Z and Cordeiro, Gauss M and Nadarajah, Saralees; Yousof, Haitham M; Ozel, Gamze; Nofal, Zohdy M; Altun, Emrah
Year: 2016
Keywords: Not Available
Journal: Hacettepe Journal of Mathematics and Statistics
Volume: 47
Issue: Not Available
Pages: 1348--1374
Publisher: Hacettepe University
Local/International: International
Paper Link:
Full paper Ahmed Z. Afify_The complementary geometric transmuted-$G$ family of distributions_ model, properties and application[#471530]-555577.pdf
Supplementary materials Not Available
Abstract:

We introduce a new family of continuous distributions called the complementary geometric transmuted-G family, which extends the transmutedfamily proposed by Shaw and Buckley (2007). Some of itsmathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, entropies, order statistics and probability weighted moments are derived. Two special models of the introduced family are discussed in detail. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets. We provide some simulation results to assess the performance of the proposed model.

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