Exponentially Generalized Modified Weibull Distribution for the Skewed Dataset

Exponentially Generalized Modified Weibull Distribution for the Skewed Dataset | 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 Exponentially Generalized Modified Weibull Distribution for the Skewed Dataset Kabiru Abidemi Awopeju, Alfred A. Abiodun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4125728/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 Using the exponentiated approach and three-parameter Weibull distribution as a baseline function, a newly generalized distribution called the exponentially generalized modified Weibull distribution was formed. The distribution was shown to be a proper density function using one of the properties of a proper probability density function. The statistical properties of the distribution were studied, and graphs of its probability density and cumulative density functions were plotted using varying parameter values. The stability of the parameters in the distribution was shown using a Monte Carlo simulation approach. The superiority of the distribution was shown using real life data. It was concluded that the exponentially generalized modified Weibull distribution can be adopted in modelling events involving distributions of its category. Exponentiated function skewed data Probability Monte Carlo simulation and modelling 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. 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-4125728","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":283618301,"identity":"919d29c1-ff58-4463-a6d5-e8282c1ed0cd","order_by":0,"name":"Kabiru Abidemi Awopeju","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDUlEQVRIie3RPWrDMBiA4c8INH2QVUHFvoKMoVAMyVUctDqQ0VMqE0iXHEBDz9HZQUMXh6wt8ZJFU7dClmaoHJqlVGm7Fap30B9+kMAAodBfDD/mSJEGQAAyt2E/JLT4JXErcZq+JYNVE71i1cVElwc+m82vhoqsdwjdSHkI2yjCsbVZpKcPXAuKHKjMEaz0EdgC8OnSTOqeoECMAa85gpE+kWyBvDlyW+vSOsIcGRwuErFRtL+liHRJHRHuYUh7MvKRtF0v82Nr03plsxxFgcMFzW7uhSl8JG6ledZVl6R3cr/D43zMHhf7p5fKjH2k/4duaCBV5wNyejBM1Nffn2sg+Xx04ZZQKBT6Z70DIqdNmk6b3lsAAAAASUVORK5CYII=","orcid":"","institution":"Nnamdi Azikiwe University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Kabiru","middleName":"Abidemi","lastName":"Awopeju","suffix":""},{"id":283618302,"identity":"90f58ed8-1a0b-4bd8-8b2c-81bcb25da871","order_by":1,"name":"Alfred A. 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