{"abstract":[{"lang":"eng","text":"A Monte Carlo approximation algorithm for the Tukey depth problem in high dimensions is introduced. The algorithm is a generalization of an algorithm presented by Rousseeuw and Struyf (1998) . The performance of this algorithm is studied both analytically and experimentally."}],"date_published":"2012-07-01T00:00:00Z","citation":{"mla":"Chen, Dan, et al. “Absolute Approximation of Tukey Depth: Theory and Experiments.” <i>Computational Geometry: Theory and Applications</i>, vol. 46, no. 5, Elsevier, 2012, pp. 566–73, doi:<a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">10.1016/j.comgeo.2012.03.001</a>.","short":"D. Chen, P. Morin, U. Wagner, Computational Geometry: Theory and Applications 46 (2012) 566–573.","ista":"Chen D, Morin P, Wagner U. 2012. Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. 46(5), 566–573.","ieee":"D. Chen, P. Morin, and U. Wagner, “Absolute approximation of Tukey depth: Theory and experiments,” <i>Computational Geometry: Theory and Applications</i>, vol. 46, no. 5. Elsevier, pp. 566–573, 2012.","chicago":"Chen, Dan, Pat Morin, and Uli Wagner. “Absolute Approximation of Tukey Depth: Theory and Experiments.” <i>Computational Geometry: Theory and Applications</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">https://doi.org/10.1016/j.comgeo.2012.03.001</a>.","apa":"Chen, D., Morin, P., &#38; Wagner, U. (2012). Absolute approximation of Tukey depth: Theory and experiments. <i>Computational Geometry: Theory and Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">https://doi.org/10.1016/j.comgeo.2012.03.001</a>","ama":"Chen D, Morin P, Wagner U. Absolute approximation of Tukey depth: Theory and experiments. <i>Computational Geometry: Theory and Applications</i>. 2012;46(5):566-573. doi:<a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">10.1016/j.comgeo.2012.03.001</a>"},"date_created":"2018-12-11T11:57:40Z","publist_id":"4467","doi":"10.1016/j.comgeo.2012.03.001","month":"07","author":[{"first_name":"Dan","last_name":"Chen","full_name":"Chen, Dan"},{"last_name":"Morin","full_name":"Morin, Pat","first_name":"Pat"},{"full_name":"Uli Wagner","last_name":"Wagner","orcid":"0000-0002-1494-0568","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"extern":1,"intvolume":"        46","title":"Absolute approximation of Tukey depth: Theory and experiments","page":"566 - 573","year":"2012","issue":"5","type":"journal_article","publication_status":"published","day":"01","date_updated":"2021-01-12T06:57:29Z","quality_controlled":0,"publisher":"Elsevier","publication":"Computational Geometry: Theory and Applications","status":"public","_id":"2439","volume":46}