{"id":22566,"date":"2025-10-07T14:31:35","date_gmt":"2025-10-07T12:31:35","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/znanost\/75-fakultetski-seminar-prof-regina-liu-phd\/"},"modified":"2025-10-07T14:31:35","modified_gmt":"2025-10-07T12:31:35","slug":"75-fakultetski-seminar-prof-regina-liu-phd","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/znanost\/75-fakultetski-seminar-prof-regina-liu-phd\/","title":{"rendered":"75. Fakultetski seminar  &#8211; prof. Regina Liu PhD"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column width=&#8221;2\/3&#8243;][vc_column_text css=&#8221;.vc_custom_1759840187772{margin-bottom: 0px !important;}&#8221;]Pozivamo vas na <strong>75. Fakultetski seminar 9. 10. 2025. u B3-37 u 12:15<\/strong>\u00a0na temu:<\/p>\n<p>Antipodal Reflection Depth (ARD) with Application to Nonparametric Outlier Detection in Multivariate and Functional Data<\/p>\n<p>koji \u0107e odr\u017eati <strong>profesorica Regina Liu sa Sveu\u010dili\u0161te Rutgers<\/strong>\u00a0iz Sjedinjenih Ameri\u010dkih Dr\u017eava.<\/p>\n<p><strong>Sa\u017eetak<\/strong><\/p>\n<p>Data depth, as a measure of centrality and center-outward ordering, has been developed into a powerful nonparametric alternative to the classical multivariate analysis or for functional data analysis. We introduce a general approach, referred to as antipodal reflection depth (ARD), to refine any existing notion of data depth (referred to as the base depth) to yield a class of new data depth. \u00a0ARD has the desirable properties: i) It preserves the deepest point and the center-outward ordering along each ray from this deepest point obtained by the base depth; and ii) Its new center-outward ordering captures the relative magnitudes of deviation from all data points to the deepest point. The latter property is generally lacking in the existing notions of data depth due to their location-scale free nature. ARD combines the antipodal reflections of the original sample data in the calculation of depth values but draws inferences using only the original data with their associated ARD depth values. This approach is completely data driven and nonparametric. As an immediate application, ARD can be shown to be an effective approach for outlier detection in both multivariate and functional data. In addition to simulation studies, we also apply ARD to an analysis of aircraft landing performance to identify possible anomalous landings.<\/p>\n<p><strong>Kratki \u017eivotopis<\/strong><\/p>\n<p>Regina Liu is Distinguished Professor, Rutgers University. Her research areas include data depth, resampling, nonparametric statistics, confidence distribution, and fusion learning. Aside from theoretical and methodological research, she has long collaborated with the FAA on aviation safety research projects on process control, text mining and risk management. She is an elected fellow of the Institute of Mathematical Statistics (IMS) and the American Statistical Association (ASA). She is the recipient of 2021 Noether Distinguished Scholar Award (ASA), 2024 Elizabeth Scott Award (Committee of Presidents of Statistical Societies (COPSS)), and the IMS 2025 Neyman Award &amp; Lecture. She has served as Co-Editor for the Journal of the American Statistical Association and as Associate Editor for several journals. She was elected President of the Institute of Mathematical Statistics (IMS), 2020-2021.[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;][mk_image src=&#8221;https:\/\/www.pmfst.unist.hr\/znanost\/wp-content\/uploads\/sites\/29\/2025\/10\/regina_lu.jpg&#8221; image_size=&#8221;full&#8221;][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column width=&#8221;2\/3&#8243;][vc_column_text css=&#8221;.vc_custom_1759840187772{margin-bottom: 0px !important;}&#8221;]Pozivamo vas na 75. Fakultetski seminar 9. 10. 2025. u B3-37 u 12:15\u00a0na temu: Antipodal Reflection Depth (ARD) with Application to Nonparametric Outlier Detection in Multivariate and Functional Data koji \u0107e odr\u017eati profesorica Regina Liu sa Sveu\u010dili\u0161te Rutgers\u00a0iz Sjedinjenih Ameri\u010dkih Dr\u017eava. Sa\u017eetak Data depth, as a measure of centrality and center-outward [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":20467,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[23,2],"tags":[],"poredak":[],"class_list":["post-22566","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fakultetski-seminari","category-novosti"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>75. Fakultetski seminar - prof. Regina Liu PhD - Znanstvena djelatnost, PMF Split<\/title>\n<meta name=\"robots\" content=\"noindex, follow\" \/>\n<meta property=\"og:locale\" content=\"hr_HR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"75. Fakultetski seminar - prof. Regina Liu PhD - Znanstvena djelatnost, PMF Split\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column width=&#8221;2\/3&#8243;][vc_column_text css=&#8221;.vc_custom_1759840187772{margin-bottom: 0px !important;}&#8221;]Pozivamo vas na 75. Fakultetski seminar 9. 10. 2025. u B3-37 u 12:15\u00a0na temu: Antipodal Reflection Depth (ARD) with Application to Nonparametric Outlier Detection in Multivariate and Functional Data koji \u0107e odr\u017eati profesorica Regina Liu sa Sveu\u010dili\u0161te Rutgers\u00a0iz Sjedinjenih Ameri\u010dkih Dr\u017eava. Sa\u017eetak Data depth, as a measure of centrality and center-outward [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.pmfst.unist.hr\/znanost\/75-fakultetski-seminar-prof-regina-liu-phd\/\" \/>\n<meta property=\"og:site_name\" content=\"Znanstvena djelatnost, PMF Split\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/pmfst\/\" \/>\n<meta property=\"article:published_time\" content=\"2025-10-07T12:31:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.pmfst.unist.hr\/znanost\/wp-content\/uploads\/sites\/29\/2022\/02\/fak_seminar.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"770\" \/>\n\t<meta property=\"og:image:height\" content=\"308\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"autor\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@PmfSplit\" \/>\n<meta name=\"twitter:site\" content=\"@PmfSplit\" \/>\n<meta name=\"twitter:label1\" content=\"Napisao\/la\" \/>\n\t<meta name=\"twitter:data1\" content=\"autor\" \/>\n\t<meta name=\"twitter:label2\" content=\"Procijenjeno vrijeme \u010ditanja\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/znanost\/75-fakultetski-seminar-prof-regina-liu-phd\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/znanost\/75-fakultetski-seminar-prof-regina-liu-phd\/\"},\"author\":{\"name\":\"autor\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/znanost\/#\/schema\/person\/8c4957fe31fd46303be41a1bd068040a\"},\"headline\":\"75. 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