{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,7]],"date-time":"2026-09-07T10:55:59Z","timestamp":1788778559939,"version":"build-2803163510"},"reference-count":32,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2020,2,17]],"date-time":"2020-02-17T00:00:00Z","timestamp":1581897600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"French National Research"},{"DOI":"10.13039\/501100002341","name":"Academy of Finland","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002341","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002666","name":"Aalto University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002666","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,9,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>Recently a blind source separation model was suggested for spatial data, along with an estimator based on the simultaneous diagonalization of two scatter matrices. The asymptotic properties of this estimator are derived here, and a new estimator based on the joint diagonalization of more than two scatter matrices is proposed. The asymptotic properties and merits of the novel estimator are verified in simulation studies. A real-data example illustrates application of the method.<\/jats:p>","DOI":"10.1093\/biomet\/asz079","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T12:10:39Z","timestamp":1575029439000},"page":"627-646","source":"Crossref","is-referenced-by-count":25,"title":["Spatial blind source separation"],"prefix":"10.1093","volume":"107","author":[{"given":"Fran\u00e7ois","family":"Bachoc","sequence":"first","affiliation":[{"name":"Institut de Math\u00e9matiques de Toulouse, Universit\u00e9 Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marc G","family":"Genton","sequence":"additional","affiliation":[{"name":"Statistics Program, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Klaus","family":"Nordhausen","sequence":"additional","affiliation":[{"name":"Computational Statistics, Vienna University of Technology, Wiedner Hauptstr. 7, A-1040 Vienna, Austria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anne","family":"Ruiz-Gazen","sequence":"additional","affiliation":[{"name":"Toulouse School of Economics, University of Toulouse Capitole, 1, Esplanade de l\u2019Universit\u00e9, 31080 Toulouse Cedex 06, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joni","family":"Virta","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Turku, 20014 Turun yliopisto, Finland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2020,2,17]]},"reference":[{"key":"2020081714264981600_B1","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1109\/78.554307","article-title":"A blind source separation technique using second-order statistics","volume":"45","author":"Belouchrani,","year":"1997","journal-title":"IEEE Trans. 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