{"id":23097,"date":"2025-12-15T18:36:09","date_gmt":"2025-12-15T18:36:09","guid":{"rendered":"https:\/\/scientificassociation.org\/?post_type=journal-paper&#038;p=23097"},"modified":"2025-12-15T18:36:09","modified_gmt":"2025-12-15T18:36:09","slug":"study-on-an-extension-to-lindley-distribution-statistical-properties-estimation-and-simulation","status":"publish","type":"journal-paper","link":"https:\/\/scientificassociation.org\/ar\/journal-paper\/study-on-an-extension-to-lindley-distribution-statistical-properties-estimation-and-simulation\/","title":{"rendered":"Study on an Extension to Lindley Distribution: Statistical Properties, Estimation and Simulation"},"content":{"rendered":"<div class=\"padding_abstract justify ltr\"><span class=\"fontstyle0\">Recently, Nedjar and Zeghdoudi [<\/span><span class=\"fontstyle0\">6<\/span><span class=\"fontstyle0\">] proposed a new lifetime model called gamma Lindley distribution. Roozegar and Nadarajah [<\/span><span class=\"fontstyle0\">8<\/span><span class=\"fontstyle0\">] introduced some notes around gamma Lindley distribution including only some statistical properties and estimations depending on the same probability density function which proposed by Nedjar and Zeghdoudi [<\/span><span class=\"fontstyle0\">6<\/span><span class=\"fontstyle0\">]. In fact, the model proposed by Nedjar and Zeghdoudi [<\/span><span class=\"fontstyle0\">6<\/span><span class=\"fontstyle0\">] is not a probabilistic model. Further, some of its fundamental properties as well as parameter estimations are incorrect. Hence, all corrections which proposed by Roozegar and Nadarajah [<\/span><span class=\"fontstyle0\">8<\/span><span class=\"fontstyle0\">] are also incorrect. On the other hand, Messaadia and Zeghdoudi [<\/span><span class=\"fontstyle0\">5<\/span><span class=\"fontstyle0\">] proposed only one remark around the parameter space of gamma Lindley distribution which proposed by Nedjar and Zeghdoudi [<\/span><span class=\"fontstyle0\">6<\/span><span class=\"fontstyle0\">], but the mathematical properties and estimations are still wrong for both Nedjar and Zeghdoudi [<\/span><span class=\"fontstyle0\">6<\/span><span class=\"fontstyle0\">] and Roozegar and Nadarajah [<\/span><span class=\"fontstyle0\">8<\/span><span class=\"fontstyle0\">]. Because, Messaadia and Zeghdoudi [<\/span><span class=\"fontstyle0\">5<\/span><span class=\"fontstyle0\">] did not discuss any corrections around quantile function, entropies, estimation methods, simulation and data analysis. In this paper, several corrections including probability density function, quantile function, entropies, estimation the model parameters using the maximum likelihood estimation and moment estimation methods and simulation are discussed in-detail because the previous three papers not make a beneft to the readers, especially in practical feld.<\/span><\/div>\n","protected":false},"featured_media":23092,"template":"","meta":{"_acf_changed":false},"journal-name":[218],"paper-tag":[225,228],"class_list":["post-23097","journal-paper","type-journal-paper","status-publish","has-post-thumbnail","hentry","journal-name-cjmss","paper-tag-no-1","paper-tag-vol-1"],"acf":[],"_links":{"self":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-paper\/23097","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\/23092"}],"wp:attachment":[{"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/media?parent=23097"}],"wp:term":[{"taxonomy":"journal-name","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/journal-name?post=23097"},{"taxonomy":"paper-tag","embeddable":true,"href":"https:\/\/scientificassociation.org\/ar\/wp-json\/wp\/v2\/paper-tag?post=23097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}