{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T17:10:53Z","timestamp":1792689053621,"version":"4.5.0"},"reference-count":72,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,4,20]],"date-time":"2023-04-20T00:00:00Z","timestamp":1681948800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,7,12]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Quantifying uncertainty using confidence regions is a central goal of statistical inference. Despite this, methodologies for confidence bands in functional data analysis are still underdeveloped compared to estimation and hypothesis testing. In this work, we present a new methodology for constructing simultaneous confidence bands for functional parameter estimates. Our bands possess a number of positive qualities: (1) they are not based on resampling and thus are fast to compute, (2) they are constructed under the fairness constraint of balanced false positive rates across partitions of the bands\u2019 domain which facilitates the typical global, but also novel local interpretations, and (3) they do not require an estimate of the full covariance function and thus can be used in the case of fragmentary functional data. Simulations show the excellent finite-sample behaviour of our bands in comparison to existing alternatives. The practical use of our bands is demonstrated in two case studies on sports biomechanics and fragmentary growth curves.<\/jats:p>","DOI":"10.1093\/jrsssb\/qkad026","type":"journal-article","created":{"date-parts":[[2023,3,30]],"date-time":"2023-03-30T21:56:31Z","timestamp":1680213391000},"page":"842-868","source":"Crossref","is-referenced-by-count":16,"title":["Fast and fair simultaneous confidence bands for functional parameters"],"prefix":"10.1093","volume":"85","author":[{"given":"Dominik","family":"Liebl","sequence":"first","affiliation":[{"name":"Institute of Finance and Statistics, University of Bonn , Adenauerallee 24-42, 53113 Bonn, North Rhine-Westphalia , Germany"},{"name":"Hausdorff Center for Mathematics, University of Bonn , Endenicher Allee 62, 53115 Bonn, North Rhine-Westphalia , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Matthew","family":"Reimherr","sequence":"additional","affiliation":[{"name":"Department of Statistics, Penn State 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