Harris Extended Dagum Distribution: Properties and Application

Harris Extended Dagum Distribution: Properties 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 Harris Extended Dagum Distribution: Properties and Application Jabir Bengalath, Bindu Punathumparambath This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5035747/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 In this paper, we introduce a new lifetime distribution called the Harris extended Dagum distribution, which is defined by four shape parameters and one scale parameter. Alternative expressions for the HED distribution have been created to make complex calculations easier. We look into some important properties of the distribution, such as the expression for its mean, variance, characteristics function, moment generating function, skewness and kurtosis, entropy measures, and the distribution of its order statistics. To determine the effectiveness of the HED distribution, we estimate its parameters using the maximum likelihood estimation (MLE) method and test their accuracy with monte carlo simulations. Finally, we apply the HED distribution to three real-world datasets and compare its performance to several other competing distributions. Our findings reveal that the newly suggested HED distribution beats the other distributions regarding adaptability and effectiveness. Statistical Theory Dagum distribution Harris extended Dagum distribution Distributional properties Maximum likelihood estimation Simulation Application 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. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5035747","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":349831342,"identity":"93a87bdb-7b5c-4d87-9fad-9a6d97c1756a","order_by":0,"name":"Jabir Bengalath","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVRIiWNgGAWjYBACxgYehgOMDSAm8wEgISFDiha2BJAWHiLs4QHpAzMMoFwCgLn97MHDlTts8uQjcj6/ulFjwcPAfvjoBrwO68lLOHj2TFqx4Y3cbdY5x4AO40lLu4HfLzkGBxvbDidunJG7zTiHDahFgscMv5b+NyAt/4Facp4Z5/wjRssMsC0HEudL5DA/zm0jSsu7hIONZ5ITN/A8M2PO7ZPgYSPkF8P+3MMfG3fYJc5vT378OedbnRw/++Fj+LU0QBkGBxjYJEAMNnzKQUAezmhgYP5ASPUoGAWjYBSMTAAAnhdP6euWUngAAAAASUVORK5CYII=","orcid":"","institution":"Govt. 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