{"id":25849,"date":"2026-09-28T08:09:59","date_gmt":"2026-09-28T08:09:59","guid":{"rendered":"https:\/\/scientificassociation.org\/?post_type=journal-paper&#038;p=25849"},"modified":"2026-09-28T08:09:59","modified_gmt":"2026-09-28T08:09:59","slug":"the-unit-komal-distribution-bathtub-risk-function-and-applications","status":"publish","type":"journal-paper","link":"https:\/\/scientificassociation.org\/ar\/journal-paper\/the-unit-komal-distribution-bathtub-risk-function-and-applications\/","title":{"rendered":"The Unit Komal distribution: Bathtub risk function and applications"},"content":{"rendered":"<div class=\"padding_abstract justify ltr\">Restricted model data for the unit interval is a common requirement in many scientific and engineering applications. This article proposes a new one-parameter distribution defined in $(0,1)$, referred to as the unit Komal (UK) distribution, which is constructed through a logarithmic transformation of the Komal random variable. \\textcolor{black}{Its various mathematical characteristics are derived}, including quantile function, incomplete and complete moments, risk function, entropy measure, and reliability measures. In addition, a characterization is also presented based on the hazard function. The parameter of the UK distribution is estimated using maximum likelihood and minimum distance-based estimation approaches. A comprehensive Monte Carlo simulation study is utilized to illustrate the behavior of the derived estimators. Comparison of goodness-of-fit analyzes based on engineering-related datasets reveals that the UK distribution offers better performance compared to the current rival models. The proposed model thus presents a new and effective approach to the modeling of bounded data on the unit interval, especially in the field of engineering and reliability analysis, as well as in other applicable areas.<\/div>\n","protected":false},"featured_media":25859,"template":"","meta":{"_acf_changed":false},"journal-name":[218],"paper-tag":[232,278,269],"class_list":["post-25849","journal-paper","type-journal-paper","status-publish","has-post-thumbnail","hentry","journal-name-cjmss","paper-tag-issue-2","paper-tag-november-2026","paper-tag-volume-5"],"acf":[],"_links":{"self":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-paper\/25849","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-paper"}],"about":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/types\/journal-paper"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/media\/25859"}],"wp:attachment":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/media?parent=25849"}],"wp:term":[{"taxonomy":"journal-name","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-name?post=25849"},{"taxonomy":"paper-tag","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/paper-tag?post=25849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}