Modified Alpha Power Transformed Inverse Power Lomax Distribution with appllications

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This paper introduces the Modified Alpha Power Transformed Inverse Power Lomax Distribution, examining its theoretical properties and demonstrating its effective application to diverse real-world datasets.

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The paper proposes a new statistical distribution, the Modified Alpha Power Transformed Inverse Power Lomax Distribution (MAPT-IPLD), combining a modified alpha power transformation with the inverse power Lomax family. The authors derive theoretical properties including stochastic functions, quantile functions, measures, generic moments, probability-weighted moments, and Rényi entropy, with parameters to be estimated via maximum likelihood. They then apply the distribution to several real-world datasets and compare it with existing models, reporting improved fit across a range of phenomena. The main limitation explicitly stated is that the work is a Research Square preprint and has not been peer reviewed. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract In this research, we introduce a groundbreaking distribution, termed the Modified Alpha Power Transformed Inverse Power Lomax Distribution (MAPT-IPLD), which offers a fresh perspective for modeling intricate datasets. By ingeniously amalgamating the modified alpha power transformation with the inverse power Lomax distribution, we have crafted a versatile and robust distribution family. We conduct a comprehensive examination of the theoretical characteristics of the MAPT-IPLD distribution, encompassing stochastic functions, quantile functions, measures, generic moments, probability-weighted moments, and Rényi entropy. .To showcase the practical utility of the MAPT-IPLD distribution, we apply it to diverse real-world datasets, demonstrating its efficacy in accurately capturing a wide array of phenomena. Through comparative analyses with existing models, we underscore its potential as a versatile tool for various statistical applications.In essence, the Modified Alpha Power Transformed Inverse Power Lomax Distribution represents a pioneering approach to statistical modeling, offering unparalleled flexibility and robust performance across a multitude of domains.
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Modified Alpha Power Transformed Inverse Power Lomax Distribution with appllications | 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 Modified Alpha Power Transformed Inverse Power Lomax Distribution with appllications Gildas Adoté hervé AKUESON, Mahoulé Jude Bogninou, Arcadius Yves Justin Akossou This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4578458/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 research, we introduce a groundbreaking distribution, termed the Modified Alpha Power Transformed Inverse Power Lomax Distribution (MAPT-IPLD), which offers a fresh perspective for modeling intricate datasets. By ingeniously amalgamating the modified alpha power transformation with the inverse power Lomax distribution, we have crafted a versatile and robust distribution family. We conduct a comprehensive examination of the theoretical characteristics of the MAPT-IPLD distribution, encompassing stochastic functions, quantile functions, measures, generic moments, probability-weighted moments, and Rényi entropy. .To showcase the practical utility of the MAPT-IPLD distribution, we apply it to diverse real-world datasets, demonstrating its efficacy in accurately capturing a wide array of phenomena. Through comparative analyses with existing models, we underscore its potential as a versatile tool for various statistical applications.In essence, the Modified Alpha Power Transformed Inverse Power Lomax Distribution represents a pioneering approach to statistical modeling, offering unparalleled flexibility and robust performance across a multitude of domains. Applied Mathematics Biostatistics Modified Alpha Power Transformed Inverse Power Lomax Distribution statistical modeling maximum likelihood. 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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