{"abstract":[{"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.","lang":"eng"}],"month":"07","publisher":"Elsevier","citation":{"apa":"Chen, D., Morin, P., & Wagner, U. (2012). Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. Elsevier. https://doi.org/10.1016/j.comgeo.2012.03.001","mla":"Chen, Dan, et al. “Absolute Approximation of Tukey Depth: Theory and Experiments.” Computational Geometry: Theory and Applications, vol. 46, no. 5, Elsevier, 2012, pp. 566–73, doi:10.1016/j.comgeo.2012.03.001.","short":"D. Chen, P. Morin, U. Wagner, Computational Geometry: Theory and Applications 46 (2012) 566–573.","chicago":"Chen, Dan, Pat Morin, and Uli Wagner. “Absolute Approximation of Tukey Depth: Theory and Experiments.” Computational Geometry: Theory and Applications. Elsevier, 2012. https://doi.org/10.1016/j.comgeo.2012.03.001.","ieee":"D. Chen, P. Morin, and U. Wagner, “Absolute approximation of Tukey depth: Theory and experiments,” Computational Geometry: Theory and Applications, vol. 46, no. 5. Elsevier, pp. 566–573, 2012.","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.","ama":"Chen D, Morin P, Wagner U. Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. 2012;46(5):566-573. doi:10.1016/j.comgeo.2012.03.001"},"status":"public","issue":"5","doi":"10.1016/j.comgeo.2012.03.001","author":[{"last_name":"Chen","full_name":"Chen, Dan","first_name":"Dan"},{"first_name":"Pat","last_name":"Morin","full_name":"Morin, Pat"},{"orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","last_name":"Wagner","full_name":"Uli Wagner","first_name":"Uli"}],"day":"01","date_updated":"2021-01-12T06:57:29Z","publist_id":"4467","intvolume":" 46","type":"journal_article","page":"566 - 573","quality_controlled":0,"date_created":"2018-12-11T11:57:40Z","title":"Absolute approximation of Tukey depth: Theory and experiments","extern":1,"volume":46,"publication_status":"published","publication":"Computational Geometry: Theory and Applications","year":"2012","date_published":"2012-07-01T00:00:00Z","_id":"2439"}