Median Based Unit Weibull (MBUW): a new unit distribution Properties
Iman Mohammed Attia

TL;DR
This paper introduces the Median Based Unit Weibull (MBUW), a new two-parameter distribution on (0,1), with detailed properties and illustrations, aimed at modeling skewed data effectively.
Contribution
It proposes a novel unit Weibull distribution with median-based parameterization, expanding tools for skewed data modeling.
Findings
Distribution defined on (0,1) with unique properties
Illustrations demonstrate flexibility in fitting skewed data
Potential for improved data modeling accuracy
Abstract
A new 2 parameter unit Weibull distribution is defined on the unit interval (0,1). The methodology of deducing its PDF, some of its properties and related functions are discussed. The paper is supplied by many figures illustrating the new distribution and how this can make it illegible to fit a wide range of skewed data. The new distribution holds a name (Attia) as a nickname.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications
