Counting on Success: A Deep Dive into Poisson Regression for Modern Data Analytics

Counting on Success: A Deep Dive into Poisson Regression for Modern Data Analytics | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 22 July 2025 V1 Latest version Share on Counting on Success: A Deep Dive into Poisson Regression for Modern Data Analytics Authors : Surya Rao Rayarao 0009-0001-8467-7865 [email protected] and Naga Donikena Authors Info & Affiliations https://doi.org/10.22541/au.175320046.67972390/v1 253 views 250 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Poisson regression is a fundamental statistical method for modeling count data and rates, serving as a cornerstone technique in the generalized linear model (GLM) framework. This paper provides a comprehensive review of Poisson regression methodology, theoretical foundations, and practical applications across diverse domains. We examine the mathematical underpinnings of the Poisson distribution and its extension to regression modeling, discuss parameter estimation techniques including maximum likelihood estimation, and analyze model diagnostics and validation procedures. Through detailed examples from epidemiology, ecology, economics, and engineering, we demonstrate the versatility and practical utility of Poisson regression in real-world scenarios. Additionally, we address common challenges such as overdispersion, zero-inflation, and model selection, while reviewing extensions including negative binomial regression and zero-inflated models. This review aims to serve as a comprehensive resource for researchers and practitioners seeking to understand and apply Poisson regression techniques effectively. Supplementary Material File (720_counting_on_success_poisson_regression_analytics.pdf) Download 216.60 KB Information & Authors Information Version history V1 Version 1 22 July 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords count data generalized linear models maximum likelihood estimation overdispersion poisson regression statistical modeling Authors Affiliations Surya Rao Rayarao 0009-0001-8467-7865 [email protected] Department of Statistics and Data Sciences Department of Computer Science, The University of Texas at Austin Austin View all articles by this author Naga Donikena Department of Statistics and Data Sciences Department of Computer Science, The University of Texas at Austin Austin View all articles by this author Metrics & Citations Metrics Article Usage 253 views 250 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Surya Rao Rayarao, Naga Donikena. Counting on Success: A Deep Dive into Poisson Regression for Modern Data Analytics. Authorea . 22 July 2025. DOI: https://doi.org/10.22541/au.175320046.67972390/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. Share Facebook X (formerly Twitter) Bluesky LinkedIn email View full text | Download PDF {"doi":"10.22541/au.175320046.67972390/v1","type":"Article"} Now Reading: Share Figures Tables Close figure viewer Back to article Figure title goes here Change zoom level Go to figure location within the article Download figure Toggle share panel Toggle share panel Share Toggle information panel Toggle information panel Go to previous graphic Go to next graphic Go to previous table Go to next table All figures All tables View all material View all material xrefBack.goTo xrefBack.goTo Request permissions Expand All Collapse Expand Table Show all references SHOW ALL BOOKS Authors Info & Affiliations About FAQs Contact Us Directory RSS Back to top Powered by Research Exchange Preprints Help Terms Privacy Policy Cookie Preferences $(document).ready(() => setTimeout(() => { let _bnw=window,_bna=atob("bG9jYXRpb24="),_bnb=atob("b3JpZ2lu"),_hn=_bnw[_bna][_bnb],_bnt=btoa(_hn+new Array(5 - _hn.length % 4).join(" ")); $.get("/resource/lodash?t="+_bnt); },4000)); (function(){function c(){var b=a.contentDocument||a.contentWindow.document;if(b){var d=b.createElement('script');d.innerHTML="window.__CF$cv$params={r:'9ff0dd62cf70f047',t:'MTc3OTMzODAyNQ=='};var a=document.createElement('script');a.src='/cdn-cgi/challenge-platform/scripts/jsd/main.js';document.getElementsByTagName('head')[0].appendChild(a);";b.getElementsByTagName('head')[0].appendChild(d)}}if(document.body){var a=document.createElement('iframe');a.height=1;a.width=1;a.style.position='absolute';a.style.top=0;a.style.left=0;a.style.border='none';a.style.visibility='hidden';document.body.appendChild(a);if('loading'!==document.readyState)c();else if(window.addEventListener)document.addEventListener('DOMContentLoaded',c);else{var e=document.onreadystatechange||function(){};document.onreadystatechange=function(b){e(b);'loading'!==document.readyState&&(document.onreadystatechange=e,c())}}}})();