A New Two-Parameter Extension of Half-Logistic distribution: Properties, Applications and Different Method of Estimations

Authors

  • Majid Hashempour Department of Statistics, School of Sciences, University of Hormozgan, Bandar Abbas, Iran
  • Morad Alizadeh Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran

Keywords:

Entropy, maximum likelihood, moments, moments generating function

Abstract

In this paper, we define a new two-parameter lifetime distribution, which is called the new Half-Logistic (NHL) distribution. Theoretical properties of this model, including the hazard function, quantile function, asymptotic, extreme value, moments, conditional moments, mean residual life, mean past lifetime, residual entropy, and order statistics, are derived and studied in detail. The maximum likelihood estimates of parameters are compared with various methods of estimation by conducting a simulation study. Finally, two real data sets illustrate the purposes.

References

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Published

2024-06-29

How to Cite

Hashempour, M. ., & Alizadeh, M. . (2024). A New Two-Parameter Extension of Half-Logistic distribution: Properties, Applications and Different Method of Estimations. Thailand Statistician, 22(3), 720–735. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/254784

Issue

Vol. 22 No. 3 (2024): July

Section

Articles

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.