The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications

Sajid Hussain, Muhammad Sajid Rashid, Mahmood Ul Hassan () and Rashid Ahmed
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Sajid Hussain: Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Muhammad Sajid Rashid: Department of Computer Science, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Mahmood Ul Hassan: Department of Statistics, Stockholm University, SE-106 91 Stockholm, Sweden
Rashid Ahmed: Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Mathematics, 2022, vol. 10, issue 19, 1-22

Abstract: Here, we propose a new generalized exponential extended exponentiated (NGE3) family of distributions. Some statistical properties of proposed family are gained. The most extreme probability method, maximum likelihood (ML), is utilized for parameter estimation. We explore an exceptional model called NGE3-Exponential (NGE3E). NGE3E is estimated with ML, and the performance of estimators is demonstrated by utilizing a simulation. Moreover, two applications are given to show the significance and adaptability of the proposed model in comparison to some generalized models (GMs).

Keywords: exponential distribution; lambert; exponentiated; failure rate; simulation; likelihood (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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