{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T17:16:54Z","timestamp":1774891014448,"version":"3.50.1"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2002,7,17]],"date-time":"2002-07-17T00:00:00Z","timestamp":1026864000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2002,10]]},"abstract":"<jats:p>High breakdown point estimators in regression are robust against \ngross contamination in the regressors and also in the errors; \nthe least median of squares (LMS) estimator has the additional \nproperty of packing the majority of the sample most tightly \naround the estimated regression hyperplane in terms of absolute \ndeviations of the residuals and thus is helpful in identifying \noutliers. Asymptotics for a class of high breakdown point smoothed \nLMS estimators are derived here under a variety of conditions \nthat allow for time series applications; joint limit processes \nfor several smoothed estimators are examined. The limit process \nfor the LMS estimator is represented via a generalized Gaussian \nprocess that defines the generalized derivative of the Wiener \nprocess.<\/jats:p>","DOI":"10.1017\/s0266466602185070","type":"journal-article","created":{"date-parts":[[2002,11,14]],"date-time":"2002-11-14T22:03:05Z","timestamp":1037311385000},"page":"1172-1196","source":"Crossref","is-referenced-by-count":21,"title":["ASYMPTOTIC THEORY FOR SOME HIGH BREAKDOWN POINT ESTIMATORS"],"prefix":"10.1017","volume":"18","author":[{"given":"Victoria","family":"Zinde-Walsh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2002,7,17]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466602185070","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T00:32:53Z","timestamp":1557189173000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466602185070\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,7,17]]},"references-count":0,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2002,10]]}},"alternative-id":["S0266466602185070"],"URL":"https:\/\/doi.org\/10.1017\/s0266466602185070","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,7,17]]}}}