{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:42:30Z","timestamp":1740156150431,"version":"3.37.3"},"reference-count":36,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T00:00:00Z","timestamp":1686700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deputyship for Research and Innovation, Ministry of Education","award":["IFP-IMSIU2023003"]},{"name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"In this work, we reveal some distributional traits of concomitants of order statistics (COSs) arising from the extended Farlie\u2013Gumbel\u2013Morgenstern (FGM) bivariate distribution, which was developed and studied in recent work. The joint distribution and product moments of COSs for this family are discussed. Moreover, some useful recurrence relations between single and product moments of concomitants are obtained. In addition, the asymptotic behavior of the concomitant\u2019s rank for order statistics (OSs) is studied. The information measures, differential entropy, Kullback\u2013Leibler (KL) distance, Fisher information number (FIN), and cumulative past inaccuracy (CPI) are theoretically and numerically studied.<\/jats:p>","DOI":"10.3390\/sym15061257","type":"journal-article","created":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T06:26:56Z","timestamp":1686724016000},"page":"1257","source":"Crossref","is-referenced-by-count":2,"title":["Scrutiny of a More Flexible Counterpart of Huang\u2013Kotz FGM\u2019s Distributions in the Perspective of Some Information Measures"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9540-9439","authenticated-orcid":false,"given":"Mohamed A.","family":"Abd Elgawad","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6212-432X","authenticated-orcid":false,"given":"Haroon M.","family":"Barakat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt"}]},{"given":"Doaa A.","family":"Abd El-Rahman","sequence":"additional","affiliation":[{"name":"Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7842-7413","authenticated-orcid":false,"given":"Salem A.","family":"Alyami","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":[[2023,6,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/bs.aecr.2020.01.003","article-title":"Copulas and their potential for ecology","volume":"62","author":"Ghosh","year":"2020","journal-title":"Adv. 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