{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,14]],"date-time":"2026-09-14T12:15:01Z","timestamp":1789388101657,"version":"build-2803163510"},"reference-count":38,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T00:00:00Z","timestamp":1520380800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we present a Weibull link (skewed) model for categorical response data arising from binomial as well as multinomial model. We show that, for such types of categorical data, the most commonly used models (logit, probit and complementary log\u2013log) can be obtained as limiting cases. We further compare the proposed model with some other asymmetrical models. The Bayesian as well as frequentist estimation procedures for binomial and multinomial data responses are presented in detail. The analysis of two datasets to show the efficiency of the proposed model is performed.<\/jats:p>","DOI":"10.3390\/e20030176","type":"journal-article","created":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T12:55:23Z","timestamp":1520427323000},"page":"176","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Categorical Data Analysis Using a Skewed Weibull Regression Model"],"prefix":"10.3390","volume":"20","author":[{"given":"Renault","family":"Caron","sequence":"first","affiliation":[{"name":"Department of Statistics, Federal University of S\u00e3o Carlos, S\u00e3o Carlos 13565-905, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Debajyoti","family":"Sinha","sequence":"additional","affiliation":[{"name":"Department of Statistics, Florida State University, Tallahassee, FL 32306, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dipak","family":"Dey","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Connecticut, Storrs, CT 06269, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Adriano","family":"Polpo","sequence":"additional","affiliation":[{"name":"Department of Statistics, Federal University of S\u00e3o Carlos, S\u00e3o Carlos 13565-905, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,7]]},"reference":[{"key":"ref_1","unstructured":"Agresti, A., and Finlay, B. 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