{"id":2,"date":"2026-02-10T07:49:05","date_gmt":"2026-02-10T07:49:05","guid":{"rendered":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/?page_id=2"},"modified":"2026-03-10T09:27:42","modified_gmt":"2026-03-10T09:27:42","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/","title":{"rendered":"Jaroslav H\u00e1jek (1926\u20131974)"},"content":{"rendered":"\n<p>A&nbsp;Czech&nbsp;mathematician&nbsp;who worked in&nbsp;theoretical&nbsp;and&nbsp;nonparametric&nbsp;statistics.<\/p>\n\n\n\n<p>He contributed notably to these areas of statistics:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Nonparametric statistics:<\/strong>&nbsp;H\u00e1jek made major contributions to&nbsp;<strong>rank tests<\/strong>, especially their asymptotic theory and efficiency.<\/li>\n\n\n\n<li><strong>Survey sampling:<\/strong>&nbsp;He helped build the theory of&nbsp;<strong>finite-population sampling<\/strong>, including unequal-probability methods and estimation using auxiliary information.<\/li>\n\n\n\n<li><strong>Asymptotic statistical theory:<\/strong>&nbsp;He contributed fundamental results on <strong>efficient estimation<\/strong>, including work behind the H\u00e1jek convolution theorem and local asymptotic minimax theory.<\/li>\n<\/ul>\n\n\n\n<p>H\u00e1jek\u2019s legacy lies in\u00a0<strong>rank-based nonparametric inference, survey sampling, and asymptotic efficiency theory<\/strong>. His influence is still visible in names such as the\u00a0<strong>H\u00e1jek predictor\/estimator<\/strong>, <strong>H\u00e1jek-R\u00e9nyi inequality<\/strong>,\u00a0and the <strong>H\u00e1jek\u2013Le Cam convolution theorem<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"766\" src=\"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-1024x766.jpg\" alt=\"\" class=\"wp-image-57\" srcset=\"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-1024x766.jpg 1024w, https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-300x224.jpg 300w, https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-768x575.jpg 768w, https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-1536x1149.jpg 1536w, https:\/\/www.karlin.mff.cuni.cz\/~hajek\/wp-content\/uploads\/2026\/03\/non-2048x1533.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A&nbsp;Czech&nbsp;mathematician&nbsp;who worked in&nbsp;theoretical&nbsp;and&nbsp;nonparametric&nbsp;statistics. He contributed notably to these areas of statistics: H\u00e1jek\u2019s legacy lies in\u00a0rank-based nonparametric inference, survey sampling, and asymptotic efficiency theory. His influence is still visible in names such as the\u00a0H\u00e1jek predictor\/estimator, H\u00e1jek-R\u00e9nyi inequality,\u00a0and the H\u00e1jek\u2013Le Cam convolution theorem.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":7,"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":82,"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions\/82"}],"wp:attachment":[{"href":"https:\/\/www.karlin.mff.cuni.cz\/~hajek\/index.php\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}