{"id":4920,"date":"2025-06-27T07:03:45","date_gmt":"2025-06-27T07:03:45","guid":{"rendered":"https:\/\/mailitics.com\/index.php\/2025\/06\/27\/2506-20672\/"},"modified":"2025-06-27T07:03:45","modified_gmt":"2025-06-27T07:03:45","slug":"2506-20672","status":"publish","type":"post","link":"https:\/\/mailitics.com\/index.php\/2025\/06\/27\/2506-20672\/","title":{"rendered":"The final solution of the Hitchhiker&#8217;s problem #5"},"content":{"rendered":"\n<div>The final solution of the Hitchhiker&#8217;s problem #5<\/div>\n<p> \t<BR><br \/>\n<BR><\/BR><br \/>\n    <!-- no image --><br \/>\n \t<BR><br \/>\n<BR><\/BR><\/p>\n<div>arXiv:2506.20672v1 Announce Type: new<br \/>\nAbstract: A recent survey, nicknamed &#8220;Hitchhiker&#8217;s Guide&#8221;, J.J. Arias-Garc{i}a, R. Mesiar, and B. De Baets, A hitchhiker&#8217;s guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has raised the rating of quasi-copula problems in the dependence modeling community in spite of the lack of statistical interpretation of quasi-copulas. In our previous work (arXiv:2410.19339, accepted in Fuzzy Sets and Systems), we addressed the question of extreme values of the mass distribution associated with multivariate quasi-copulas. Using a linear programming approach, we were able to solve Open Problem 5 of the &#8220;Guide&#8221; up to dimension d = 17 and disprove a recent conjecture on the solution to that problem. In this paper, we use an analytical approach to provide a complete answer to the original question.<\/div>\n<p> \t<BR><br \/>\n <BR><\/BR><br \/>\n    Matjav{z} Omladiv{c}, Martin Vuk, Aljav{z} Zalar<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2506.20672\">Go to original source<\/a><br \/>\n \t<BR><br \/>\n <BR><\/BR><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The final solution of the Hitchhiker&#8217;s problem #5 arXiv:2506.20672v1 Announce Type: new Abstract: A recent survey, nicknamed &#8220;Hitchhiker&#8217;s Guide&#8221;, J.J. Arias-Garc{i}a, R. Mesiar, and B. De Baets, A hitchhiker&#8217;s guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has raised the rating of quasi-copula problems in the dependence modeling community in spite of the [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[62,113,376,190,112,191],"tags":[3079,581,3085],"class_list":["post-4920","post","type-post","status-publish","format-standard","hentry","category-aimldsaimlds","category-cs-lg","category-math-oc","category-math-st","category-stat-ml","category-stat-th","tag-hitchhiker","tag-problem","tag-quasi"],"_links":{"self":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/4920"}],"collection":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/comments?post=4920"}],"version-history":[{"count":0,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/4920\/revisions"}],"wp:attachment":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/media?parent=4920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/categories?post=4920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/tags?post=4920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}