{"id":25843,"date":"2026-09-28T08:09:35","date_gmt":"2026-09-28T08:09:35","guid":{"rendered":"https:\/\/scientificassociation.org\/?post_type=journal-paper&#038;p=25843"},"modified":"2026-09-28T08:09:35","modified_gmt":"2026-09-28T08:09:35","slug":"the-new-marshall-olkin-type-ii-exponentiated-half-logistic-gompertz-g-family-of-distributions-properties-and-applications","status":"publish","type":"journal-paper","link":"https:\/\/scientificassociation.org\/ar\/journal-paper\/the-new-marshall-olkin-type-ii-exponentiated-half-logistic-gompertz-g-family-of-distributions-properties-and-applications\/","title":{"rendered":"The New Marshall-Olkin Type II Exponentiated Half Logistic-Gompertz-G Family of Distributions: Properties and Applications"},"content":{"rendered":"<div class=\"padding_abstract justify ltr\">In this work, \u00a0a new family of distributions referred to as \u00a0Marshall-Olkin type II exponentiated half logistic-Gompertz-G distribution is introduced and studied. Some statistical properties including hazard rate and quantile functions, series expansion of the density function, moments, order statistics and \u00a0<span class=\"fontstyle0\">R\u00e9n<\/span>nyi entropy are derived. Special cases, \u00a0particularly when the baseline distributions are log-logistic and Weibull are presented. Various estimation techniques are utilized to estimate the unknown parameters of the new family of distributions. The methods considered include Maximum Likelihood, Anderson\u2013Darling, Least Squares, Weighted Least Squares, and Cram\u00e9r-von Mises. Consistency of the estimators for each of the methods are then evaluated by performing a simulation study. \u00a0The importance and versatility of the \u00a0Marshall-Olkin type II exponentiated half logistic-Gompertz-G family of distributions is demonstrated in an application to two real data sets \u00a0from different fields.<\/div>\n","protected":false},"featured_media":25859,"template":"","meta":{"_acf_changed":false},"journal-name":[218],"paper-tag":[232,278,269],"class_list":["post-25843","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\/25843","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=25843"}],"wp:term":[{"taxonomy":"journal-name","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-name?post=25843"},{"taxonomy":"paper-tag","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/paper-tag?post=25843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}