{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T01:21:15Z","timestamp":1775179275946,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,2,11]],"date-time":"2025-02-11T00:00:00Z","timestamp":1739232000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Faisal University, Saudi Arabia","award":["KFU250261"],"award-info":[{"award-number":["KFU250261"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this manuscript, a new two-parameter stochastic distribution is proposed and obtained by a continuous half-logistic transformation of the quasi-Lindley (QL) distribution to the unit interval. The resulting distribution, named the quasi-Lindley half-logistic unit (QHU) distribution, is examined in terms of its key stochastic properties, such as asymmetry conditions, shape and modality, moments, etc. In addition, the stochastic dominance of the proposed distribution with respect to its parameters is considered, and it is shown that the QHU distribution, in contrast to the QL distribution that is always positively asymmetric, can have both asymmetric forms. The parameters of the QHU distribution are estimated by the maximum likelihood (ML) method, and the asymptotic properties of thusly obtained estimators are examined. Finally, an application of the proposed distribution in modeling some real-world phenomena is also presented.<\/jats:p>","DOI":"10.3390\/sym17020278","type":"journal-article","created":{"date-parts":[[2025,2,11]],"date-time":"2025-02-11T11:01:08Z","timestamp":1739271668000},"page":"278","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Flexible Unit Distribution Based on a Half-Logistic Map with Applications in Stochastic Data Modeling"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3819-4387","authenticated-orcid":false,"given":"Vladica S.","family":"Stojanovi\u0107","sequence":"first","affiliation":[{"name":"Department of Informatics & Computer Sciences, University of Criminal Investigation and Police Studies, 1000 Belgrade, Serbia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3189-0670","authenticated-orcid":false,"given":"Hassan S.","family":"Bakouch","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8557-3796","authenticated-orcid":false,"given":"Gadir","family":"Alomair","sequence":"additional","affiliation":[{"name":"Department of Quantitative Methods, School Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7753-835X","authenticated-orcid":false,"given":"Amira F.","family":"Daghestani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5488-0176","authenticated-orcid":false,"given":"\u017deljko","family":"Gruj\u010di\u0107","sequence":"additional","affiliation":[{"name":"Department of Informatics, Mathematics and Statistics, School of Engineering Management, University Union Nikola Tesla, 11000 Belgrade, Serbia"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mart\u00ednez-Fl\u00f3rez, G., Azevedo-Farias, R.B., and Tovar-Fal\u00f3n, R. 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