The Exponentiated Power Alpha Index Generalized Family of Distributions: Properties and Applications

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

Mathematics, 2023, vol. 11, issue 4, 1-19

Abstract: The study of hydrological characteristics has a vital role in designing, planning, and managing water resources. The selection of appropriate probability distributions and methods of estimations are basic elements in hydrology analyses. In this article, a new family named the ‘exponentiated power alpha index generalized’ (EPAIG)-G is proposed to develop several new distributions. Using this proposed family, we developed a new model, called the EPAIG-exponential (EPAIG-E). A few structural properties of the EPAIG-G were obtained. The EPAIG-E parameters were estimated through the method of maximum likelihood (MML). The study of the Monte Carlo simulation (MCS) was produced for the EPAIG-E. The model performance is illustrated using real data.

Keywords: quantiles; moments; entropies; likelihood; exponentiated; asymptotic; exponential; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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