A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data

Hanaa Saad M.; S.; A.

doi:https://doi.org/10.54216/IJNS.230327

Full Length Article

Volume 23 • Issue 3 • PP: 229-236 • 2024

A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data

Hanaa Saad M. Shibeeb ^1*

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,

S. Altalaqani ¹

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,

A. AL-Adilee ²

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¹Department of Economy, Faculty of Management and Economy, University of Kufa, Iraq

²Department of Mathematics, Faculty of Education, University of Kufa, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.230327

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Received: August 13, 2023 Revised: December 12, 2023 Accepted: February 25, 2024

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Abstract

In this paper, we propose a new version of the Gumbel Distribution using a sine technique family. We discuss the key properties of this distribution, such as the probability density function, the cumulative distribution function, the survival function, the hazard function, the cumulative hazard, and the moments. Additionally, we present a method for estimating the distribution's parameters. We then analyze a dataset using the original and generalized distributions, comparing the results and using goodness-of-fit measures to determine which distribution best fits the data. Finally, we provide conclusions based on our findings, with many examples and valid comparisons applied on fuzzy data.

Keywords

Continues Distributions Statistical Properties Gumbel distribution Trigonometric Functions Estimations Methods Statistical Inference fuzzy data fuzzy analysis.

References

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Shibeeb, Hanaa Saad M., Altalaqani, S., AL-Adilee, A.. "A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, 2024, pp. 229-236. DOI: https://doi.org/10.54216/IJNS.230327

Shibeeb, H., Altalaqani, S., AL-Adilee, A. (2024). A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data. International Journal of Neutrosophic Science, Volume 23(Issue 3), 229-236. DOI: https://doi.org/10.54216/IJNS.230327

Shibeeb, Hanaa Saad M., Altalaqani, S., AL-Adilee, A.. "A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data." International Journal of Neutrosophic Science Volume 23, no. Issue 3 (2024): 229-236. DOI: https://doi.org/10.54216/IJNS.230327

Shibeeb, H., Altalaqani, S., AL-Adilee, A. (2024) 'A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data', International Journal of Neutrosophic Science, Volume 23(Issue 3), pp. 229-236. DOI: https://doi.org/10.54216/IJNS.230327

Shibeeb H, Altalaqani S, AL-Adilee A. A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 3):229-236. DOI: https://doi.org/10.54216/IJNS.230327

H. Shibeeb, S. Altalaqani, A. AL-Adilee, "A New Version of Gumbel Distribution Using Sine Technique Family: Properties, Parameter Estimation, and Data Analysis and Comparison with Fuzzy Data," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, pp. 229-236, 2024. DOI: https://doi.org/10.54216/IJNS.230327

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