THE MARSHALL-OLKIN GENERALIZED-G FAMILY OF DISTRIBUTIONS WITH APPLICATIONS
Haitham M. Yousof,
Ahmed Z. Afify,
Saralees Nadarajah and
Gokarna R. Aryal ()
Additional contact information
Haitham M. Yousof: Benha University, Egypt
Ahmed Z. Afify: Benha University, Egypt
Saralees Nadarajah: University of Manchester, Manchester, UK
Gokarna R. Aryal: Purdue University Northwest, USA
Statistica, 2018, vol. 78, issue 3, 273-295
Abstract:
We introduce a new class of distributions called the Marshall-Olkin generalized-G family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, order statistics are discussed. 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.
Keywords: Marshall-Olkin distribution; Order statistics; Parameter estimation; Simulation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:78:y:2018:i:3:p:273-295
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