{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,14]],"date-time":"2026-10-14T11:14:31Z","timestamp":1791976471663,"version":"4.4.0"},"reference-count":15,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2012,3,14]],"date-time":"2012-03-14T00:00:00Z","timestamp":1331683200000},"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":[[2012,8]]},"abstract":"\n This note demonstrates that the conditions of Kotlarski\u2019s (1967,\n Pacific Journal of Mathematics<\/jats:italic>\n 20(1), 69\u201376) lemma can be substantially relaxed. In particular, the condition that the characteristic functions of\n M<\/jats:italic>\n ,\n U<\/jats:italic>\n 1<\/jats:sub>\n , and\n U<\/jats:italic>\n 2<\/jats:sub>\n are nonvanishing can be replaced with much weaker conditions: The characteristic function of\n U<\/jats:italic>\n 1<\/jats:sub>\n can be allowed to have real zeros, as long as the derivative of its characteristic function at those points is not also zero; that of\n U<\/jats:italic>\n 2<\/jats:sub>\n can have an isolated number of zeros; and that of\n M<\/jats:italic>\n need satisfy no restrictions on its zeros. We also show that Kotlarski\u2019s lemma holds when the tails of\n U<\/jats:italic>\n 1<\/jats:sub>\n are no thicker than exponential, regardless of the zeros of the characteristic functions of\n U<\/jats:italic>\n 1<\/jats:sub>\n ,\n U<\/jats:italic>\n 2<\/jats:sub>\n , or\n M<\/jats:italic>\n .\n <\/jats:p>","DOI":"10.1017\/s0266466611000831","type":"journal-article","created":{"date-parts":[[2012,3,14]],"date-time":"2012-03-14T06:59:39Z","timestamp":1331708379000},"page":"925-932","source":"Crossref","is-referenced-by-count":47,"title":["SOME EXTENSIONS OF A LEMMA OF KOTLARSKI"],"prefix":"10.1017","volume":"28","author":[{"given":"Kirill","family":"Evdokimov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Halbert","family":"White","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2012,3,14]]},"reference":[{"key":"S0266466611000831_ref15","unstructured":"Zinde-Walsh V. 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(2010) Nonparametric Identification of a Nonlinear Panel Model with Application to Duration Analysis with Multiple Spells. Working paper, Princeton University."},{"key":"S0266466611000831_ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4076(99)00081-0"},{"key":"S0266466611000831_ref13","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-0262.2004.00477.x"},{"key":"S0266466611000831_ref7","doi-asserted-by":"crossref","first-page":"211","DOI":"10.3982\/ECTA4657","article-title":"The effect of expected income on individual migration decisions","volume":"79","author":"Kennan","year":"2011","journal-title":"Econometrica"},{"key":"S0266466611000831_ref8","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1967.20.69"},{"key":"S0266466611000831_ref5","unstructured":"Evdokimov K. (2008) Identification and Estimation of a Nonparametric Panel Data Model with Unobserved Heterogeneity. Working paper, Yale University."},{"key":"S0266466611000831_ref9","doi-asserted-by":"publisher","DOI":"10.1093\/restud\/rdq004"},{"key":"S0266466611000831_ref3","doi-asserted-by":"publisher","DOI":"10.1017\/S026646661000040X"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466611000831","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T15:10:52Z","timestamp":1556205052000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466611000831\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,14]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,8]]}},"alternative-id":["S0266466611000831"],"URL":"https:\/\/doi.org\/10.1017\/s0266466611000831","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,14]]}}}