{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T09:26:01Z","timestamp":1785403561867,"version":"3.56.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2001,3,3]],"date-time":"2001-03-03T00:00:00Z","timestamp":983577600000},"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":[[2001,4]]},"abstract":"<jats:p>I provide a systematic treatment of the asymptotic \nproperties of weighted <jats:italic>M<\/jats:italic>-estimators under standard \nstratified sampling. Simple, consistent asymptotic variance \nmatrix estimators are proposed for a broad class of problems. \nWhen stratification is based on exogenous variables, I \nshow that the usual, unweighted <jats:italic>M<\/jats:italic>-estimator is \nmore efficient than the weighted estimator under a generalized \nconditional information matrix equality. Hausman tests \nfor the exogeneity of the sampling scheme, including fully \nrobust forms, are derived.<\/jats:p>","DOI":"10.1017\/s0266466601172075","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T13:45:46Z","timestamp":1027777546000},"page":"451-470","source":"Crossref","is-referenced-by-count":75,"title":["ASYMPTOTIC PROPERTIES OF WEIGHTED <i>M<\/i>-ESTIMATORS \nFOR STANDARD STRATIFIED SAMPLES"],"prefix":"10.1017","volume":"17","author":[{"given":"Jeffrey M.","family":"Wooldridge","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2001,3,3]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466601172075","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T19:29:05Z","timestamp":1554751745000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466601172075\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,3,3]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,4]]}},"alternative-id":["S0266466601172075"],"URL":"https:\/\/doi.org\/10.1017\/s0266466601172075","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,3,3]]}}}