{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:06:14Z","timestamp":1760234774166,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2021,6,23]],"date-time":"2021-06-23T00:00:00Z","timestamp":1624406400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universidad de C\u00f3rdoba, Monter\u00eda, Colombia","award":["Distribuciones de Probabilidad Asim\u00e9tricas con Soporte Positivo, Code FCB-03-18"],"award-info":[{"award-number":["Distribuciones de Probabilidad Asim\u00e9tricas con Soporte Positivo, Code FCB-03-18"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper introduces a new family of distributions for modelling censored multimodal data. The model extends the widely known tobit model by introducing two parameters that control the shape and the asymmetry of the distribution. Basic properties of this new family of distributions are studied in detail and a model for censored positive data is also studied. The problem of estimating parameters is addressed by considering the maximum likelihood method. The score functions and the elements of the observed information matrix are given. Finally, three applications to real data sets are reported to illustrate the developed methodology.<\/jats:p>","DOI":"10.3390\/sym13071114","type":"journal-article","created":{"date-parts":[[2021,6,23]],"date-time":"2021-06-23T03:22:00Z","timestamp":1624418520000},"page":"1114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Censored Beta-Skew Alpha-Power Distribution"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6441-5377","authenticated-orcid":false,"given":"Guillermo","family":"Mart\u00ednez-Fl\u00f3rez","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas y Estad\u00edstica, Facultad de Ciencias B\u00e1sicas, Universidad de C\u00f3rdoba, Monter\u00eda 230027, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5649-532X","authenticated-orcid":false,"given":"Roger","family":"Tovar-Fal\u00f3n","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas y Estad\u00edstica, Facultad de Ciencias B\u00e1sicas, Universidad de C\u00f3rdoba, Monter\u00eda 230027, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3871-5170","authenticated-orcid":false,"given":"Mar\u00eda","family":"Mart\u00ednez-Guerra","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda Industrial, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Valpara\u00edso 2362807, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1570","DOI":"10.2307\/2533289","article-title":"A mixture model with detection limits for regression analyses of antibody response to vaccine","volume":"51","author":"Moulton","year":"1995","journal-title":"Biometrics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"24","DOI":"10.2307\/1907382","article-title":"Estimation of relationships for limited dependent variables","volume":"26","author":"Tobin","year":"1958","journal-title":"Econometrica"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1002\/bimj.201100116","article-title":"Asymmetric regression models with limited responses with an application to antibody response to vaccine","volume":"55","author":"Bolfarine","year":"2013","journal-title":"Biom. 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