The Exponentiated Generalized Topp Leone-G Family of Distributions: Properties and Applications | [Pakistan Journal of Statistics and Operation Research • 2019]

Author(s):

1. Hesham Mohammed Reyad: Department of Information Systems and Production Management, Qassim University, KSA

2. Morad Alizadeh: Department of Statistics, Faculty of Sciences, Persian Gulf, University, Iran.

3. Farrukh Jamal: Department of Statistics, Govt.S.A. Postgraduate College, Dera Nawab Sahib, Pakistan.

4. Soha Othman: Department of Applied Statistics Cairo University, Egypt

5. G.G. Hamedani: Department of Mathematics, Statistics and Computer Science, Marquette University, USA

Abstract:

In this paper, we propose a new class of continuous distributions called the exponentiated generalized Topp Leone-G family that extends the Topp Leone-G family introduced by Al-Shomrani et al. (2016). We derive explicit expressions for certain mathematical properties of the new family such as; ordinary and incomplete moments, generating functions, reliability analysis, Lorenz and Bonferroni curves, Rényi entropy, stress strength model, moment of residual and reversed residual life, order statistics, extreme values and characterizations. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. Two real data sets are used to illustrate the flexibility of the new family.

Page(s): 1-24

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 1, Year: 2019

Keywords:

Moments , Order statistics , Exponentiated GeneralizedG Family , Topp leoneG family

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