{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:36:32Z","timestamp":1760146592937,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,11,21]],"date-time":"2024-11-21T00:00:00Z","timestamp":1732147200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper we present a new extension of the truncated positive normal (TPN) model, called power truncated positive normal. This extension incorporates a shape parameter that provides more flexibility to the model. In addition, this new extension was reparameterized based on the p-th quantile of the distribution in order to perform quantile regression. The initial values were calculated from a modification of the moment estimators, which allowed the maximum likelihood estimators to be obtained. A simulation study was carried out which suggests good behavior of the maximum likelihood estimators in finite samples. Finally, two applications using health databases are presented.<\/jats:p>","DOI":"10.3390\/axioms13120811","type":"journal-article","created":{"date-parts":[[2024,11,21]],"date-time":"2024-11-21T06:57:54Z","timestamp":1732172274000},"page":"811","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Power Truncated Positive Normal Distribution: A Quantile Regression Approach Applied to Health Databases"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-6161-2068","authenticated-orcid":false,"given":"Karol I.","family":"Santoro","sequence":"first","affiliation":[{"name":"Departamento de Estad\u00edstica y Ciencia de Datos, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-2148-7489","authenticated-orcid":false,"given":"H\u00e9ctor J.","family":"G\u00f3mez","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias Matem\u00e1ticas y F\u00edsicas, Facultad de Ingenier\u00eda, Universidad Cat\u00f3lica de Temuco, Temuco 4780000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2622-1245","authenticated-orcid":false,"given":"Isaac E.","family":"Cort\u00e9s","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias, Universidad Arturo Prat, Avenida Arturo Prat 2120, Iquique 1110939, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3814-9532","authenticated-orcid":false,"given":"Tiago M.","family":"Magalh\u00e3es","sequence":"additional","affiliation":[{"name":"Department of Statistics, Institute of Exact Sciences, Federal University of Juiz de Fora, Juiz de Fora 36036-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8184-7403","authenticated-orcid":false,"given":"Diego I.","family":"Gallardo","sequence":"additional","affiliation":[{"name":"Departamento de Estad\u00edstica, Facultad de Ciencias, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n 4081112, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Fryar, C.D., Kit, B., Carroll, M.D., Afful, J., and Kuo, T. 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