{"id":89658,"date":"2024-01-22T09:36:40","date_gmt":"2024-01-22T08:36:40","guid":{"rendered":"https:\/\/www.wifo.ac.at\/publication\/89658\/"},"modified":"2026-02-17T16:06:57","modified_gmt":"2026-02-17T15:06:57","slug":"linear-versus-non-linear-dependence","status":"publish","type":"publication","link":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/","title":{"rendered":"Linear versus Non-linear Dependence"},"content":{"rendered":"","protected":false},"featured_media":0,"template":"","class_list":["post-89658","publication","type-publication","status-publish","hentry"],"acf":{"subtitle":"","text":"","onlinedate":"1992-02-01 01:00:00","lang":"English","publication_series":"","publication_date":"19920201","publication_date_year":"","publication_date_full":false,"publication_num_pages":"26","keywords":"[\"Linear versus Non-linear Dependence\"]","jelcodes":"[]","related_publications":"[]","pdf":null,"zip":null,"link":"https:\/\/www.wifo.ac.at\/wwa\/pubid\/1328","monthly_report":true,"monthly_report_main":false,"monthly_report_volume":"","monthly_report_pages":"","monthly_report_pages_sort":"0","issue":"47","journal":"WIFO Working Papers","publisher":"","invisible":false,"external":false,"embargo_date":null,"types":[44410],"research_groups":[3500],"collaboration":"","persons":[3925,3987],"persons_data":"[{\"personId\":3925,\"personName\":\"Franz R. Hahn\",\"organisationNames\":[]},{\"personId\":3987,\"personName\":\"Gerhard Thury\",\"organisationNames\":[]}]","clients":[],"subclients":[],"partners":[],"topics":[],"host_publication_title":"","host_publication_subtitle":"","place_of_publication":"","host_publication_editors":"[]","type_description":"","output_media":"","chapter":"","article_number":"","citations":"{\"apa\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_apa rendering_contributiontoperiodical rendering_apa rendering_contributiontoperiodical_apa\\\"><span>Hahn, F. R.<\\\/span><span>, &amp; Thury, G.<\\\/span> (1992). <span>Linear versus Non-linear Dependence<\\\/span>. <span><em>WIFO Working Papers<\\\/em><\\\/span>, (47). <a onclick=\\\"window.open(this.href, '_blank','noopener,noreferrer'); return false;\\\" href=\\\"https:\\\/\\\/www.wifo.ac.at\\\/wwa\\\/pubid\\\/1328\\\" class=\\\"link\\\"><span>https:\\\/\\\/www.wifo.ac.at\\\/wwa\\\/pubid\\\/1328<\\\/span><\\\/a><\\\/div>\",\"vancouver\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_vancouver rendering_contributiontoperiodical rendering_vancouver rendering_contributiontoperiodical_vancouver\\\"><span>Hahn FR<\\\/span><span>, Thury G<\\\/span>. <span class=\\\"title\\\"><span>Linear versus Non-linear Dependence<\\\/span><\\\/span>. <span>WIFO Working Papers<\\\/span>. 1992 Feb;(47).<\\\/div>\",\"bibtex\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_bibtex rendering_contributiontoperiodical rendering_bibtex rendering_contributiontoperiodical_bibtex\\\"><div>@misc{f2cea898a24f47e4bde5f88da8e5092c,<\\\/div><div>  title    = \\\"Linear versus Non-linear Dependence\\\",<\\\/div><div>  keywords = \\\"Linear versus Non-linear Dependence, Linear versus Non-linear Dependence\\\",<\\\/div><div>  author   = \\\"Hahn, \\\\{Franz R.\\\\} and Gerhard Thury\\\",<\\\/div><div>  year     = \\\"1992\\\",<\\\/div><div>  month    = feb,<\\\/div><div>  language = \\\"English\\\",<\\\/div><div>  journal  = \\\"WIFO Working Papers\\\",<\\\/div><p>}<\\\/p><\\\/div>\",\"ris\":\"<div class=\\\"rendering rendering_researchoutput  rendering_researchoutput_ris rendering_contributiontoperiodical rendering_ris rendering_contributiontoperiodical_ris\\\"><p>TY  - GEN<\\\/p><p>T1  - Linear versus Non-linear Dependence<\\\/p><p>AU  - Hahn, Franz R.<\\\/p><p>AU  - Thury, Gerhard<\\\/p><p>PY  - 1992\\\/2<\\\/p><p>Y1  - 1992\\\/2<\\\/p><p>KW  - Linear versus Non-linear Dependence<\\\/p><p>KW  - Linear versus Non-linear Dependence<\\\/p><p>M3  - WIFO series<\\\/p><p>JO  - WIFO Working Papers<\\\/p><p>JF  - WIFO Working Papers<\\\/p><p>ER  - <\\\/p><\\\/div>\"}","scientific_assistance":"[]","scientific_review":"[]","version":"","release_date":null,"expiration_date":null,"surveyor":"","research_assistance":"","edv":"","additional_info_de":"","additional_info_en":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.0 (Yoast SEO v28.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Linear versus Non-linear Dependence - WIFO<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Linear versus Non-linear Dependence\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/\" \/>\n<meta property=\"og:site_name\" content=\"WIFO\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/WIFOat\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-17T15:06:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO-Gebaeude-FotoAlexanderMueller-www.alexandermueller.at-IMG_6326-Bearbeitet-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1280\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@WIFOat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/89658\\\/\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/89658\\\/\",\"name\":\"Linear versus Non-linear Dependence - WIFO\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#website\"},\"datePublished\":\"2024-01-22T08:36:40+00:00\",\"dateModified\":\"2026-02-17T15:06:57+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/89658\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/89658\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/89658\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Startseite\",\"item\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Linear versus Non-linear Dependence\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\",\"name\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#organization\"},\"alternateName\":\"WIFO\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#organization\",\"name\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"alternateName\":\"WIFO\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/WIFO_kurz_rechts-2-1920x412.jpg\",\"contentUrl\":\"https:\\\/\\\/www.wifo.ac.at\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/WIFO_kurz_rechts-2-1920x412.jpg\",\"width\":2000,\"height\":429,\"caption\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\"},\"image\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/WIFOat\\\/\",\"https:\\\/\\\/x.com\\\/WIFOat\",\"https:\\\/\\\/linkedin.com\\\/company\\\/wifoat\\\/\",\"https:\\\/\\\/www.youtube.com\\\/@WIFO_at\"],\"description\":\"Das WIFO, 1927 von Friedrich August von Hayek und Ludwig von Mises zur Konjunkturanalyse gegr\u00fcndet, ist heute das f\u00fchrende Institut f\u00fcr angewandte empirische Wirtschaftsforschung in \u00d6sterreich mit starkem Engagement auf europ\u00e4ischer Ebene.\",\"email\":\"office@wifo.ac.at\",\"telephone\":\"+43 1 798 26 01 \u2013 0\",\"legalName\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"foundingDate\":\"1927-01-02\",\"numberOfEmployees\":{\"@type\":\"QuantitativeValue\",\"minValue\":\"51\",\"maxValue\":\"200\"},\"publishingPrinciples\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/mission-und-strategie\\\/\",\"ownershipFundingInfo\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/organisation\\\/\",\"actionableFeedbackPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/aktuelles\\\/presse\\\/\",\"correctionsPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/kontakt\\\/\",\"ethicsPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/evidenzbasierung-transparenz-und-unabhaengigkeit\\\/\",\"diversityPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/gleichstellung\\\/\",\"diversityStaffingReport\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/gleichstellung\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Linear versus Non-linear Dependence - WIFO","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/","og_locale":"en_US","og_type":"article","og_title":"Linear versus Non-linear Dependence","og_url":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/","og_site_name":"WIFO","article_publisher":"https:\/\/www.facebook.com\/WIFOat\/","article_modified_time":"2026-02-17T15:06:57+00:00","og_image":[{"width":1920,"height":1280,"url":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO-Gebaeude-FotoAlexanderMueller-www.alexandermueller.at-IMG_6326-Bearbeitet-1.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@WIFOat","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/","url":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/","name":"Linear versus Non-linear Dependence - WIFO","isPartOf":{"@id":"https:\/\/www.wifo.ac.at\/en\/#website"},"datePublished":"2024-01-22T08:36:40+00:00","dateModified":"2026-02-17T15:06:57+00:00","breadcrumb":{"@id":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wifo.ac.at\/en\/publication\/89658\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wifo.ac.at\/en\/publication\/89658\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Startseite","item":"https:\/\/www.wifo.ac.at\/en\/"},{"@type":"ListItem","position":2,"name":"Linear versus Non-linear Dependence"}]},{"@type":"WebSite","@id":"https:\/\/www.wifo.ac.at\/en\/#website","url":"https:\/\/www.wifo.ac.at\/en\/","name":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","description":"","publisher":{"@id":"https:\/\/www.wifo.ac.at\/en\/#organization"},"alternateName":"WIFO","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wifo.ac.at\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.wifo.ac.at\/en\/#organization","name":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","alternateName":"WIFO","url":"https:\/\/www.wifo.ac.at\/en\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.wifo.ac.at\/en\/#\/schema\/logo\/image\/","url":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO_kurz_rechts-2-1920x412.jpg","contentUrl":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO_kurz_rechts-2-1920x412.jpg","width":2000,"height":429,"caption":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung"},"image":{"@id":"https:\/\/www.wifo.ac.at\/en\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/WIFOat\/","https:\/\/x.com\/WIFOat","https:\/\/linkedin.com\/company\/wifoat\/","https:\/\/www.youtube.com\/@WIFO_at"],"description":"Das WIFO, 1927 von Friedrich August von Hayek und Ludwig von Mises zur Konjunkturanalyse gegr\u00fcndet, ist heute das f\u00fchrende Institut f\u00fcr angewandte empirische Wirtschaftsforschung in \u00d6sterreich mit starkem Engagement auf europ\u00e4ischer Ebene.","email":"office@wifo.ac.at","telephone":"+43 1 798 26 01 \u2013 0","legalName":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","foundingDate":"1927-01-02","numberOfEmployees":{"@type":"QuantitativeValue","minValue":"51","maxValue":"200"},"publishingPrinciples":"https:\/\/www.wifo.ac.at\/institut\/mission-und-strategie\/","ownershipFundingInfo":"https:\/\/www.wifo.ac.at\/institut\/organisation\/","actionableFeedbackPolicy":"https:\/\/www.wifo.ac.at\/aktuelles\/presse\/","correctionsPolicy":"https:\/\/www.wifo.ac.at\/institut\/kontakt\/","ethicsPolicy":"https:\/\/www.wifo.ac.at\/institut\/evidenzbasierung-transparenz-und-unabhaengigkeit\/","diversityPolicy":"https:\/\/www.wifo.ac.at\/institut\/gleichstellung\/","diversityStaffingReport":"https:\/\/www.wifo.ac.at\/institut\/gleichstellung\/"}]}},"_links":{"self":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/89658","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication"}],"about":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/types\/publication"}],"version-history":[{"count":1,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/89658\/revisions"}],"predecessor-version":[{"id":440536,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/89658\/revisions\/440536"}],"acf:post":[{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/person\/3987"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/person\/3925"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/research_group\/3500"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication_type\/44410"}],"wp:attachment":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/media?parent=89658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}