{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T16:31:24Z","timestamp":1781022684511,"version":"3.54.1"},"reference-count":39,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,13]],"date-time":"2022-06-13T00:00:00Z","timestamp":1655078400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Imam Mohammad Ibn Saud Islamic University"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A new class of statistical distributions called the Type II half-Logistic odd Fr\u00e9chet-G class is proposed. The new class is a continuation of the unusual Fr\u00e9chet class. This class is analytically feasible and could be used to evaluate real-world data effectively. The new suggested class of distributions has many new symmetrical and asymmetrical sub-models. We propose new four sub-models from the new class of distributions which are called Type II half-Logistic odd Fr\u00e9chet exponential distribution, Type II half-Logistic odd Fr\u00e9chet Rayleigh distribution, Type II half-Logistic odd Fr\u00e9chet Weibull distribution, and Type II half-Logistic odd Fr\u00e9chet Lindley distribution. Some statistical features of Type II half-Logistic odd Fr\u00e9chet-G class such as ordinary moments (ORMs), incomplete moments (INMs), moment generating function (MGEF), residual life (REL), and reversed residual life (RREL) functions, and R\u00e9nyi entropy (R\u00e9E) are derived. Six methods of estimation such as maximum likelihood, least-square, a maximum product of spacing, weighted least square, Cram\u00e9r-von Mises, and Anderson\u2013Darling are produced to estimate the parameters. To test the six estimation methods\u2019 performance, a simulation study is conducted. Four real-world data sets are utilized to highlight the importance and applicability of the proposed method.<\/jats:p>","DOI":"10.3390\/sym14061222","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T01:43:32Z","timestamp":1655171012000},"page":"1222","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["Type II Half-Logistic Odd Fr\u00e9chet Class of Distributions: Statistical Theory and Applications"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5507-9399","authenticated-orcid":false,"given":"Salem A.","family":"Alyami","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3894-3915","authenticated-orcid":false,"given":"Moolath Girish","family":"Babu","sequence":"additional","affiliation":[{"name":"Department of Statistics, CHMKM Government Arts and Science College, Kozhikode 673 572, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ibrahim","family":"Elbatal","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Naif","family":"Alotaibi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1333-3862","authenticated-orcid":false,"given":"Mohammed","family":"Elgarhy","sequence":"additional","affiliation":[{"name":"The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Algharbia, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"189","DOI":"10.18576\/jsap\/070117","article-title":"The odd Fr\u00e9chet-G class of probability distributions","volume":"7","author":"Haq","year":"2018","journal-title":"J. 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