Year: 2025
Type: article
Abstract: A new distribution is proposed using the Quadratic Rank Transmutation Map (QRTM), which introduces skew to an initially symmetric base distribution. The Monsef distribution serves as the baseline. Various statistical properties, including moments, the moment-generating function, and the characteristic function, are derived. The parameters are estimated using the maximum likelihood estimation method, and the method’s performance is validated through mean squared errors and average biases. Additionally, two real datasets are used to demonstrate the flexibility of the proposed distribution.
Institution: Tanta University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415702425
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