Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model

Showkat Ahmad Lone, Tabassum Naz Sindhu (), Marwa K. H. Hassan, Tahani A. Abushal (), Sadia Anwar and Anum Shafiq ()
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Showkat Ahmad Lone: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
Tabassum Naz Sindhu: Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Marwa K. H. Hassan: Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt
Tahani A. Abushal: Department of Mathematical Science, Faculty of Applied Science, Umm Al-Qura University, Makkah 24382, Saudi Arabia
Sadia Anwar: Department of Mathematics, College of Arts and Sciences, Wadi Ad Dawasir, Prince Sattam Bin Abdul Aziz University, Al-Kharj 11991, Saudi Arabia
Anum Shafiq: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Mathematics, 2023, vol. 11, issue 8, 1-18

Abstract: Statistical models are vital in data analysis, and researchers are always on the search for potential or the latest statistical models to fit data sets in a variety of domains. To create an improved statistical model, we used a T-X transformation and the Gumbel Type-II model in this investigation. The research examined a simulation evaluation to assess the efficacy of the parameters. To show the application of the T-X approach for producing new distributions titled the new and improved Gumbel Type-II (NIGT-II) distribution, two actual data sets were used. The data sets reveal that the NIGT-II distribution sounds nicer than the Gumbel Type-II distribution.

Keywords: mean square error; T-X method; root mean square error; NIGT-II model; average bias (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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