Citation

Kanwal, Sana and Fatima, Laraib and Ameeq, Muhammad and Muneeb Hassan, Muhammad and Alkhaleel, Basem A. (2026) The new transmuted-H family of distributions: theory, simulation, and real-world applications. Statistics. pp. 1-24. ISSN 0233-1888

Text The new transmuted-H family of distributions_ theory, simulation, and real-world applications_ Statistics_ Vol 0, No 0 - Get Access.pdf - Published Version Restricted to Repository staff only Download (360kB)

Abstract

This study introduces a new transmuted-H (NT-H) family of probability distributions for modeling data on the bounded unit interval. The proposed family is generated through a flexible transmutation-based mechanism that enhances the shape adaptability of existing baseline models. Statistical inference for the proposed family is carried out using the maximum likelihood estimation (MLE) method. Several mathematical properties of the NT-H family are derived, with special emphasis on the new Transmuted Kumaraswamy (NTKw) distribution. Its structural and inferential properties are analytically investigated, and the performance of the MLEs is assessed through a Monte Carlo simulation study. To demonstrate practical applicability, the NTKw distribution is applied to two real datasets on bounded unit intervals. Its goodness-of-fit performance is compared with the classical Kumaraswamy and transmuted Kumaraswamy models. The results indicate that the NTKw model provides a comparatively better fit among the considered models, highlighting its flexibility and usefulness for modeling bounded data.

Item Type:	Article
Uncontrolled Keywords:	Parameter estimation, simulation study
Subjects:	H Social Sciences > HA Statistics > HA1-4737 Statistics (General)
Divisions:	Faculty of Business (FOB)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	02 Jul 2026 01:31
Last Modified:	02 Jul 2026 01:31
URII:	http://shdl.mmu.edu.my/id/eprint/16193

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