Median Based Unit Weibull (MBUW) A New Unit Distribution: Comparisons Between Variants of Generalized Methods of Moments and Percentile Estimator

Median Based Unit Weibull (MBUW) A New Unit Distribution: Comparisons Between Variants of Generalized Methods of Moments and Percentile Estimator | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Median Based Unit Weibull (MBUW) A New Unit Distribution: Comparisons Between Variants of Generalized Methods of Moments and Percentile Estimator Iman Mohammed Attia This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5961123/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper introduces a new two-parameter unit Weibull distribution defined on the interval (0,1). It discusses the methodology for deriving its probability density function (PDF), explores various properties, and presents related functions. Numerous figures illustrate the distribution and demonstrate its effectiveness in fitting a wide range of skewed real data. The parameter estimation process using maximum likelihood estimation (MLE) faced challenges, particularly concerning large variance. To address these issues, the generalized method of moments (GMMs) and percentile estimators are introduced as improved alternatives. The paper elaborates on GMMs, percentile estimators, and new variants of both methods for estimating the parameters of the new distribution, supplemented by illustrative analyses of real data. Applied Mathematics Applied Statistics Median Based Unit Weibull (MBUW) distribution new distribution unit distribution generalized methods of moments percentile estimator Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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