The complementary geometric transmuted-$G$ family of distributions: model, properties and application

Year 2018, Volume: 47 Issue: 5, 1348 - 1374, 16.10.2018

Ahmed Z. Afify Gauss M. Cordeiro , Saralees Nadarajah Haitham M. Yousof , Gamze Ozel , Zohdy M. Nofal , Emrah Altun

Abstract

We introduce a new family of continuous distributions called the complementary geometric transmuted-$G$ family, which extends the transmuted

family proposed by Shaw and Buckley (2007). Some of its mathematical 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.

Keywords

Complementary geometric-G Family , Maximum likelihood , Order statistic , Probability weighted moment , Transmuted family

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