{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T12:50:38Z","timestamp":1763988638330,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,7,18]],"date-time":"2025-07-18T00:00:00Z","timestamp":1752796800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002713","name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)","doi-asserted-by":"publisher","award":["IMSIU-DDRSP2501"],"award-info":[{"award-number":["IMSIU-DDRSP2501"]}],"id":[{"id":"10.13039\/501100002713","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper presents the exponentiated power shanker (EPS) distribution, a fresh three-parameter extension of the standard Shanker distribution with the ability to extend a wider class of data behaviors, from right-skewed and heavy-tailed phenomena. The structural properties of the distribution, namely complete and incomplete moments, entropy, and the moment generating function, are derived and examined in a formal manner. Maximum likelihood estimation (MLE) techniques are used for estimation of parameters, as well as a Monte Carlo simulation study to account for estimator performance across varying sample sizes and parameter values. The EPS model is also generalized to a regression paradigm to include covariate data, whose estimation is also conducted via MLE. Practical utility and flexibility of the EPS distribution are demonstrated through two real examples: one for the duration of repairs and another for HIV\/AIDS mortality in Germany. Comparisons with some of the existing distributions, i.e., power Zeghdoudi, power Ishita, power Prakaamy, and logistic-Weibull, are made through some of the goodness-of-fit statistics such as log-likelihood, AIC, BIC, and the Kolmogorov\u2013Smirnov statistic. Graphical plots, including PP plots, QQ plots, TTT plots, and empirical CDFs, further confirm the high modeling capacity of the EPS distribution. Results confirm the high goodness-of-fit and flexibility of the EPS model, making it a very good tool for reliability and biomedical modeling.<\/jats:p>","DOI":"10.3390\/sym17071153","type":"journal-article","created":{"date-parts":[[2025,7,18]],"date-time":"2025-07-18T14:38:36Z","timestamp":1752849516000},"page":"1153","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Exponentiated Power Distribution for Modeling Censored Data with Applications to Clinical and Reliability Studies"],"prefix":"10.3390","volume":"17","author":[{"given":"Kenechukwu F.","family":"Aforka","sequence":"first","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria"}]},{"given":"H. E.","family":"Semary","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}]},{"given":"Sidney I.","family":"Onyeagu","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria"}]},{"given":"Harrison O.","family":"Etaga","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7753-1868","authenticated-orcid":false,"given":"Okechukwu J.","family":"Obulezi","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Nigeria"}]},{"given":"A. S.","family":"Al-Moisheer","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,18]]},"reference":[{"key":"ref_1","first-page":"338","article-title":"Shanker distribution and its applications","volume":"5","author":"Shanker","year":"2015","journal-title":"Int. J. Stat. Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1111\/j.2517-6161.1958.tb00278.x","article-title":"Fiducial distributions and Bayes\u2019 theorem","volume":"20","author":"Lindley","year":"1958","journal-title":"J. R. Stat. Soc. Ser. B"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"16","DOI":"10.9734\/ajpas\/2022\/v20i130480","article-title":"Chris-Jerry distribution and its applications","volume":"20","author":"Onyekwere","year":"2022","journal-title":"Asian J. Probab. 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