{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T02:56:01Z","timestamp":1791168961550,"version":"4.1.0"},"reference-count":9,"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":8844,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1986,8]]},"abstract":"<jats:p>The strong consistency of regression quantile statistics (Koenker and Bassett [4]) in linear models with iid errors is established. Mild regularity conditions on the regression design sequence and the error distribution are required. Strong consistency of the associated empirical quantile process (introduced in Bassett and Koenker [1]) is also established under analogous conditions. However, for the proposed estimate of the conditional distribution function of Y, no regularity conditions on the error distribution are required for uniform strong convergence, thus establishing a Glivenko-Cantelli-type theorem for this estimator.<\/jats:p>","DOI":"10.1017\/s0266466600011488","type":"journal-article","created":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T09:13:54Z","timestamp":1287393234000},"page":"191-201","source":"Crossref","is-referenced-by-count":33,"title":["Strong Consistency of Regression Quantiles and Related Empirical Processes"],"prefix":"10.1017","volume":"2","author":[{"given":"Gilbert W.","family":"Bassett","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Roger W.","family":"Koenker","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2010,10,18]]},"reference":[{"key":"S0266466600011488_ref001","first-page":"407","article-title":"An empirical quantile function for linear models with iid errors","volume":"11","author":"Bassett","year":"1982","journal-title":"Journal of the American Statistical Association"},{"key":"S0266466600011488_ref006","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1080\/00031305.1984.10483204","article-title":"Four (Pathological) Examples in Asymptotic Statistics","volume":"38","author":"Koenker","year":"1984","journal-title":"The American Statistician"},{"key":"S0266466600011488_ref003","volume-title":"Inequalities","author":"Hardy","year":"1967"},{"key":"S0266466600011488_ref004","doi-asserted-by":"publisher","DOI":"10.2307\/1913643"},{"key":"S0266466600011488_ref007","volume-title":"Robust and Non-linear Time-Series Analysis","author":"Portnoy","year":"1983"},{"key":"S0266466600011488_ref008","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"S0266466600011488_ref009","first-page":"28","article-title":"Comment on a Paper of McDonald and White","volume":"75","author":"Weisberg","year":"1980","journal-title":"Journal of the American Statistical Association"},{"key":"S0266466600011488_ref002","volume-title":"Probability and Measure","author":"Billingsley","year":"1979"},{"key":"S0266466600011488_ref005","doi-asserted-by":"publisher","DOI":"10.2307\/1912528"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466600011488","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,31]],"date-time":"2024-03-31T13:23:32Z","timestamp":1711891412000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466600011488\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,8]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1986,8]]}},"alternative-id":["S0266466600011488"],"URL":"https:\/\/doi.org\/10.1017\/s0266466600011488","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,8]]}}}