A novel extended Gumbel Type II model with statistical inference and Covid-19 applications
Statistical models play an important role in data analysis, and statisticians are constantly looking for new or relatively new statistical models to fit data sets across a wide range of fields. In this study, we used a new alpha power transformation and the Gumbel Type -II distribution to suggest an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-04-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722001449 |
| _version_ | 1828882614546595840 |
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| author | Showkat Ahmad Lone Tabassum Naz Sindhu Anum Shafiq Fahd Jarad |
| author_facet | Showkat Ahmad Lone Tabassum Naz Sindhu Anum Shafiq Fahd Jarad |
| author_sort | Showkat Ahmad Lone |
| collection | DOAJ |
| description | Statistical models play an important role in data analysis, and statisticians are constantly looking for new or relatively new statistical models to fit data sets across a wide range of fields. In this study, we used a new alpha power transformation and the Gumbel Type -II distribution to suggest an unique statistical model. The study contains a simulation analysis to determine the parameters’ efficiency. Two real-life data sets were utilized to demonstrate the use of novel alpha power Gumbel Type II (NAPGT-II) distribution. NAPGT-II distribution yields a better fit than Weibull, new alpha power exponential, exponentiated Gumbel Type-II, Gumbel Type-II and exponentiated generalized Gumbel Type-II distribution, as evidenced by the data. |
| first_indexed | 2024-12-13T10:31:35Z |
| format | Article |
| id | doaj.art-98893218cd57438c84cf87418766ae4d |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T10:31:35Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-98893218cd57438c84cf87418766ae4d2022-12-21T23:50:50ZengElsevierResults in Physics2211-37972022-04-0135105377A novel extended Gumbel Type II model with statistical inference and Covid-19 applicationsShowkat Ahmad Lone0Tabassum Naz Sindhu1Anum Shafiq2Fahd Jarad3Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, (Jeddah-M), Riyadh-11673, Kingdom of Saudi ArabiaDepartment of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, PakistanSchool of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China; Corresponding author.Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Corresponding author at: Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey.Statistical models play an important role in data analysis, and statisticians are constantly looking for new or relatively new statistical models to fit data sets across a wide range of fields. In this study, we used a new alpha power transformation and the Gumbel Type -II distribution to suggest an unique statistical model. The study contains a simulation analysis to determine the parameters’ efficiency. Two real-life data sets were utilized to demonstrate the use of novel alpha power Gumbel Type II (NAPGT-II) distribution. NAPGT-II distribution yields a better fit than Weibull, new alpha power exponential, exponentiated Gumbel Type-II, Gumbel Type-II and exponentiated generalized Gumbel Type-II distribution, as evidenced by the data.http://www.sciencedirect.com/science/article/pii/S2211379722001449NAPGT-II modelMean square errorAPTAverage BiasRoot mean square error |
| spellingShingle | Showkat Ahmad Lone Tabassum Naz Sindhu Anum Shafiq Fahd Jarad A novel extended Gumbel Type II model with statistical inference and Covid-19 applications Results in Physics NAPGT-II model Mean square error APT Average Bias Root mean square error |
| title | A novel extended Gumbel Type II model with statistical inference and Covid-19 applications |
| title_full | A novel extended Gumbel Type II model with statistical inference and Covid-19 applications |
| title_fullStr | A novel extended Gumbel Type II model with statistical inference and Covid-19 applications |
| title_full_unstemmed | A novel extended Gumbel Type II model with statistical inference and Covid-19 applications |
| title_short | A novel extended Gumbel Type II model with statistical inference and Covid-19 applications |
| title_sort | novel extended gumbel type ii model with statistical inference and covid 19 applications |
| topic | NAPGT-II model Mean square error APT Average Bias Root mean square error |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722001449 |
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