An Extension of the UEHL Distribution Based on the DUS Transformation

Murat Genç; Ömer Özbilen

doi:10.53570/jnt.1317652

EN

An Extension of the UEHL Distribution Based on the DUS Transformation

Abstract

In this study, we propose a new distribution based on the Dinesh, Umesh, and Sanjay (DUS) transformation by using the Unit Exponentiated Half-Logistic (UEHL) distribution as the baseline distribution, a member of the family of proportional hazard rate models. Moreover, we study several properties, such as moments, skewness, kurtosis, stress-strength reliability, and likelihood ratio ordering. Further, we discuss the statistical inference on the parameters of the proposed distribution by the maximum likelihood estimation (MLE) method. Besides, we conduct a simulation based on the new distribution to investigate the behavior of the maximum likelihood estimates in various conditions. Furthermore, we present a numerical example to show the performance of the distribution on a real-life data set. Finally, we discuss the need for further research.

Keywords

DUS transformation, UEHL distribution, maximum likelihood estimator, data analysis

References

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Details

Primary Language

English

Subjects

Statistical Theory, Probability Theory

Journal Section

Research Article

Authors

Murat Genç ^*
0000-0002-6335-3044
Türkiye

Ömer Özbilen
0000-0001-6110-1911
Türkiye

Publication Date

September 30, 2023

Submission Date

June 20, 2023

Acceptance Date

September 18, 2023

Published in Issue

Year 2023 Number: 44

DOI

https://doi.org/10.53570/jnt.1317652

IZ

https://izlik.org/JA87DE33SP

APA

Genç, M., & Özbilen, Ö. (2023). An Extension of the UEHL Distribution Based on the DUS Transformation. Journal of New Theory, 44, 20-30. https://doi.org/10.53570/jnt.1317652

AMA

1.Genç M, Özbilen Ö. An Extension of the UEHL Distribution Based on the DUS Transformation. JNT. 2023;(44):20-30. doi:10.53570/jnt.1317652

Chicago

Genç, Murat, and Ömer Özbilen. 2023. “An Extension of the UEHL Distribution Based on the DUS Transformation”. Journal of New Theory, nos. 44: 20-30. https://doi.org/10.53570/jnt.1317652.

EndNote

Genç M, Özbilen Ö (September 1, 2023) An Extension of the UEHL Distribution Based on the DUS Transformation. Journal of New Theory 44 20–30.

IEEE

[1]M. Genç and Ö. Özbilen, “An Extension of the UEHL Distribution Based on the DUS Transformation”, JNT, no. 44, pp. 20–30, Sept. 2023, doi: 10.53570/jnt.1317652.

ISNAD

Genç, Murat - Özbilen, Ömer. “An Extension of the UEHL Distribution Based on the DUS Transformation”. Journal of New Theory. 44 (September 1, 2023): 20-30. https://doi.org/10.53570/jnt.1317652.

JAMA

1.Genç M, Özbilen Ö. An Extension of the UEHL Distribution Based on the DUS Transformation. JNT. 2023;:20–30.

MLA

Genç, Murat, and Ömer Özbilen. “An Extension of the UEHL Distribution Based on the DUS Transformation”. Journal of New Theory, no. 44, Sept. 2023, pp. 20-30, doi:10.53570/jnt.1317652.

Vancouver

1.Murat Genç, Ömer Özbilen. An Extension of the UEHL Distribution Based on the DUS Transformation. JNT. 2023 Sep. 1;(44):20-3. doi:10.53570/jnt.1317652