A novel two-parameter unit probability model with properties and applications.

Autor:	Hussain Z; Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan., Jamal F; Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan., Saboor A; Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat, KP, 26000, Pakistan., Shafiq S; Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan., Khan A; Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat, KP, 26000, Pakistan., Perveen S; Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat, KP, 26000, Pakistan., Awwad FA; Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia., Ismail EAA; Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia., Ali M; Department of Mathematics, G.F. College, Shahjahanpur, Affiliated M.J.P. Rohilkhand University, Bareilly, India.
Jazyk:	angličtina
Zdroj:	Heliyon [Heliyon] 2024 Sep 03; Vol. 10 (18), pp. e37242. Date of Electronic Publication: 2024 Sep 03 (Print Publication: 2024).
DOI:	10.1016/j.heliyon.2024.e37242
Abstrakt:	This paper develops a novel two-parameter unit probability model which is the generalized form Kumaraswami distribution that exhibits greater flexibility compared to well-known existing distributions, attributed to its distinct hazard and density function shapes. Extensive analysis has been conducted to explore numerous statistical features of the specified distribution, specifically moments, and order statistics providing explicit expressions for these measures. The maximum likelihood estimation is employed to estimate the model parameters and a numerical simulation analysis confirms the consistency of this estimation approach. Furthermore, the applicability of the specified model is demonstrated by considering four real data sets, showcasing its effectiveness in capturing the characteristics of real life data. The proposed model shows promise as a versatile tool for analyzing diverse data sets in a wide range of fields. Competing Interests: The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: Fuad A. Awwad reports a relationship with 10.13039/501100002383King Saud University College of Business Administration that includes: employment and funding grants. If there are other authors, they declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. (© 2024 The Author(s).)
Databáze:	MEDLINE
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