A New Three-Parameter Inverse Rayleigh Distribution: Simulation and Application to Real Data

Autor:	Muzafer Shala, Faton Merovci
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	generalized transmuted distribution inverse Rayleigh maximum likelihood moment order statistic quantile function Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 5, p 634 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16050634
Popis:	In this paper, we introduce a new three-parameter inverse Rayleigh distribution that extends the inverse Rayleigh distribution, constructed based on the generalized transmuted family of distributions proposed by Alizadeh, Merovci, and Hamedani. We explore statistical properties such as the quantile function, moments, harmonic mean, mean deviation, stress–strength reliability, and entropy. Parameter estimation is performed using various methods, including maximum likelihood, least squares, the method of the maximum product of spacings, and the method of Cramér–von Mises. The usefulness of the new three-parameter inverse Rayleigh distribution is illustrated by modeling a real dataset, demonstrating its superior fit compared to several other distributions.
Databáze:	Directory of Open Access Journals
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