{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T11:13:02Z","timestamp":1790939582625,"version":"4.1.0"},"reference-count":24,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2008,2,26]],"date-time":"2008-02-26T00:00:00Z","timestamp":1203984000000},"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":[[2008,6]]},"abstract":"<jats:p>In this paper I propose estimating distributions on the unit interval semi-nonparametrically using orthonormal Legendre polynomials. This approach will be applied to the interval-censored mixed proportional hazard (ICMPH) model, where the distribution of the unobserved heterogeneity is modeled semi-nonparametrically. Various conditions for the nonparametric identification of the ICMPH model are derived. I will prove general consistency results for<jats:italic>M<\/jats:italic>-estimators of (partly) non-euclidean parameters under weak and easy-to-verify conditions and specialize these results to sieve estimators. Special attention is paid to the case where the support of the covariates is finite.<\/jats:p>","DOI":"10.1017\/s0266466608080316","type":"journal-article","created":{"date-parts":[[2008,2,26]],"date-time":"2008-02-26T11:16:11Z","timestamp":1204024571000},"page":"749-794","source":"Crossref","is-referenced-by-count":22,"title":["SEMI-NONPARAMETRIC INTERVAL-CENSORED MIXED PROPORTIONAL HAZARD MODELS: IDENTIFICATION AND CONSISTENCY RESULTS"],"prefix":"10.1017","volume":"24","author":[{"given":"Herman J.","family":"Bierens","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2008,2,26]]},"reference":[{"key":"S0266466608080316_ref008","doi-asserted-by":"publisher","DOI":"10.2307\/2297364"},{"key":"S0266466608080316_ref006","volume-title":"Handbook of Econometrics","volume":"vol. 6B","author":"Chen","year":"2007"},{"key":"S0266466608080316_ref017","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1996.10476984"},{"key":"S0266466608080316_ref007","volume-title":"A Course in Probability Theory","author":"Chung","year":"1974"},{"key":"S0266466608080316_ref004","doi-asserted-by":"publisher","DOI":"10.1002\/jae.960"},{"key":"S0266466608080316_ref014","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697731"},{"key":"S0266466608080316_ref018","unstructured":"Meyer B.D. 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