A Novel Quantile Regression Approach Based on the Zubair-Unit Rayleigh Model
Year: 2026
Type: article
Abstract: In this paper, we introduce a novel two-parameter distribution on the unit interval, termed the Zubair-Unit Rayleigh distribution. We derive its fundamental statistical properties and evaluate various parameter estimation techniques through a comprehensive simulation study. Building upon this foundation, we develop a new quantile regression model based on the proposed distribution. Applications to real-world datasets demonstrate that both the new distribution and its corresponding regression model provide a superior fit and greater flexibility compared to existing alternatives.
Source: European Journal of Statistics
Author: Mahdi Rasekhi
Institution: Malayer University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7225754804
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