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Annals of Data Science
Published in: Annals of Data Science 3/2019

31-07-2018

Exponentiated Generalized Power Series Family of Distributions

Authors: Suleman Nasiru, Peter N. Mwita, Oscar Ngesa

Published in: Annals of Data Science | Issue 3/2019

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Abstract

In this paper, a new family of distributions called the exponentiated generalized power series family is proposed and studied. Statistical properties such as stochastic order, quantile function, entropy, mean residual life and order statistics were derived. Bivariate and multivariate extensions of the family was proposed. The method of maximum likelihood estimation was proposed for the estimation of the parameters. Some special distributions from the family were defined and their applications were demonstrated with real data sets.
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Literature
1.
Afify AZ, Alizadeh M, Yousof HM, Aryal G, Ahmad M (2016) The transmuted geometric-G family of distributions: theory and applications. Pak J Stat 32:139–160
2.
Afify AZ, Cordeiro GM, Yousof HM, Alzaatreh A, Nofal ZM (2016) The Kumaraswamy transmuted-G family of distributions: properties and applications. J Data Sci 14:245–270
3.
Afify AZ, Yousof HM, Nadarajah S (2017) The beta transmuted-H family of distributions: properties and applications. Stat Its Inference 10:505–520CrossRef
4.
Alzaatreh A, Lee C, Famoye F (2013) A new method for generating families of continuous distributions. Metron 71(1):63–79CrossRef
5.
Alzaghal A, Famoye F, Lee C (2013) Exponentiated T–X family of distributions with some applications. Int J Stat Probab 2(3):31–49CrossRef
6.
Andrews DF, Herzberg AM (2012) Data: a collection of problems from many fields for the student and research worker. Springer, New York
7.
Barlow R, Toland R, Freeman T (1984) A Bayesian analysis of stress-rupture life of Kevlar 49/epoxy spherical pressure vessels. In: Proceedings of conference on applications of statistics. Marcel Dekker, New York
8.
Bolker B (2014) Tools for general maximum likelihood estimation. R development core team
9.
Bourguignon M, Silva RB, Cordeiro GM (2014) The Weibull-G family of probability distributions. J Data Sci 12:53–68
10.
Cordeiro GM, de Castro M (2011) A new family of generalized distributions. J Stat Comput Simul 81(7):883–898CrossRef
11.
Cordeiro GM, Ortega EMM, da Cunha CCD (2013) The exponentiated generalized class of distributions. J Data Sci 11:1–27
12.
Cordeiro GM, Ortega EMM, Silva GO (2012) The beta extended Weibull family. J Probab Stat Sci 10(10):15–40
13.
Gradshteyn IS, Ryzhik IM (2007) Tables of integrals, series, and products. Academic Press, New York
14.
Mead M (2014) An extended Pareto distribution. Pak J Stat Oper Res 10(3):313–329CrossRef
15.
16.
Nasiru S, Mwita PN, Ngesa O (2017) Exponentiated generalized transformed-transformer family of distributions. J Stat Econ Methods 6(4):1–17
17.
Noack A (1950) A class of random variables with discrete distributions. Ann Math Stat 21(1):127–132CrossRef
18.
Nofal ZM, Afify AZ, Yousof HM, Cordeiro GM (2017) The generalized transmuted-G family of distributions. Commun Stat Theory Methods 46:4119–4136CrossRef
19.
Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–432CrossRef
20.
Sklar A (1959) Fonctions de repartition á n dimension et leurs marges. Publications de l’Institute de Statistique de l’Université de Paris 8:229–231
21.
Tahir MH, Cordeiro GM, Alizadeh M, Mansoor M, Zubair M, Hamedani GG (2015) The odd generalized exponential family of distributions with applications. J Stat Distrib Appl 2(1):1–28CrossRef
22.
Yousof HM, Afify AZ, Alizadeh M, Butt NS, Hamedani GG, Ali MM (2015) The transmuted exponential generalized-G family of distributions. Pak J Stat Oper Res 11:441–464CrossRef
Metadata
Title
Exponentiated Generalized Power Series Family of Distributions
Authors
Suleman Nasiru
Peter N. Mwita
Oscar Ngesa
Publication date
31-07-2018
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 3/2019
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-018-0170-3

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