{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,10]],"date-time":"2026-09-10T09:54:27Z","timestamp":1789034067661,"version":"build-2803163510"},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2021,1,12]],"date-time":"2021-01-12T00:00:00Z","timestamp":1610409600000},"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":[[2022,2]]},"abstract":"<jats:p>This note re-investigates the smooth tests for the equality of distributions introduced by Bera et al. (2013, <jats:italic>Econometric Theory<\/jats:italic> 29, 419\u2013446) and provides a modified smooth test which works for the general case with two sample sizes <jats:italic>m<\/jats:italic> and <jats:italic>n<\/jats:italic>. Asymptotic properties of the proposed test statistic under both the null and the alternative hypothesis are studied.<\/jats:p>","DOI":"10.1017\/s0266466620000596","type":"journal-article","created":{"date-parts":[[2021,1,13]],"date-time":"2021-01-13T02:59:26Z","timestamp":1610506766000},"page":"194-208","source":"Crossref","is-referenced-by-count":7,"title":["ON SMOOTH TESTS FOR THE EQUALITY OF DISTRIBUTIONS"],"prefix":"10.1017","volume":"38","author":[{"given":"Xiaojun","family":"Song","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhijie","family":"Xiao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2021,1,12]]},"reference":[{"key":"S0266466620000596_r11","doi-asserted-by":"publisher","DOI":"10.3150\/15-BEJ766"},{"key":"S0266466620000596_r4","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9469.00189"},{"key":"S0266466620000596_r8","volume-title":"Empirical Processes with Applications to Statistics","author":"Shorack","year":"1986"},{"key":"S0266466620000596_r1","first-page":"177","volume-title":"Handbook of Applied Econometrics and Statistical Inference","author":"Bera","year":"2002"},{"key":"S0266466620000596_r5","volume-title":"U-Statistics: Theory and Practice","author":"Lee","year":"1990"},{"key":"S0266466620000596_r3","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1074290336"},{"key":"S0266466620000596_r2","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466612000370"},{"key":"S0266466620000596_r9","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-92710-7"},{"key":"S0266466620000596_r6","volume-title":"Nonparametrics: Statistical Methods Based on Ranks","author":"Lehmann","year":"1975"},{"key":"S0266466620000596_r7","first-page":"150","article-title":"\u201cSmooth test\u201d for goodness of fit","volume":"20","author":"Neyman","year":"1937","journal-title":"Skandinaviske Aktuarietidskrift"},{"key":"S0266466620000596_r10","doi-asserted-by":"publisher","DOI":"10.1198\/TECH.2009.08101"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466620000596","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T11:32:25Z","timestamp":1644233545000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466620000596\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,12]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["S0266466620000596"],"URL":"https:\/\/doi.org\/10.1017\/s0266466620000596","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,12]]}}}