Extension of the Bradford Distribution via Generalized Transmutation: Properties, Estimation and Application

Extension of the Bradford Distribution via Generalized Transmutation: Properties, Estimation and Application | 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 Extension of the Bradford Distribution via Generalized Transmutation: Properties, Estimation and Application ALOK KUMAR PANDEY, SONAM DESHMUKH This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8662828/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 article proposes a novel family of probability distributions constructed using the T–X transformation approach, with the Bradford distribution serving as the baseline distribution. A wide range of fundamental mathematical characteristics is derived. The maximum likelihood approach is used to estimate the unknown parameters of the proposed model. Additionally, a Monte Carlo simulation analysis is conducted to evaluate the finite-sample performance of the suggested estimators. The analysis of the real-data application demonstrates that the proposed distribution provides the optimal fit compared to the other considered unit distributions. Transmuted family Reliability function Order statistics Bounded distribution Monte Carlo simulation Full Text Additional Declarations No competing interests reported. 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. 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