{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T23:46:21Z","timestamp":1770507981507,"version":"3.49.0"},"reference-count":28,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T00:00:00Z","timestamp":1287360000000},"content-version":"unspecified","delay-in-days":7748,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1989,8]]},"abstract":"<jats:p>Wu introduced a new technique for proving consistency of least-squares estimators in nonlinear regression. This paper extends his results in three directions. First, we consider the minimization of arbitrary functions (M-estimators instead of least squares). Second, we use an improved type 2 inequality. Third, an extension of Kronecker's lemma yields a more powerful result.<\/jats:p>","DOI":"10.1017\/s0266466600012433","type":"journal-article","created":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T09:14:31Z","timestamp":1287393271000},"page":"272-286","source":"Crossref","is-referenced-by-count":2,"title":["Consistency Via Type 2 Inequalities: A Generalization of Wu's Theorem"],"prefix":"10.1017","volume":"5","author":[{"given":"Asad","family":"Zaman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2010,10,18]]},"reference":[{"key":"S0266466600012433_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-45529-2"},{"key":"S0266466600012433_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1913568"},{"key":"S0266466600012433_ref018","first-page":"263","article-title":"On the strong consistency of approximate maximum likelihood estimators","volume":"1","author":"Perlman","year":"1970","journal-title":"Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability"},{"key":"S0266466600012433_ref014","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345697"},{"key":"S0266466600012433_ref020","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5254-2"},{"key":"S0266466600012433_ref008","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177693066"},{"key":"S0266466600012433_ref025","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729952"},{"key":"S0266466600012433_ref011","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697731"},{"key":"S0266466600012433_ref026","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345455"},{"key":"S0266466600012433_ref003","unstructured":"3. Balet-Lawrence S. , Estimation of parameters in an implicit model by minimizing the sum of absolute value of order p. 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