{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T14:01:51Z","timestamp":1770991311298,"version":"3.50.1"},"reference-count":11,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[1973,7,1]],"date-time":"1973-07-01T00:00:00Z","timestamp":110332800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1973,7,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>Tests of fit based on generalized minimum \u03c72 techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is \u03c72 while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central \u03c72 variates. The special case of testing the fit of a bivariate normal distribution is investigated in detail and the power is obtained for several alternative families of bivariate distributions.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1973.tb00973.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T05:21:20Z","timestamp":1544160080000},"page":"452-465","source":"Crossref","is-referenced-by-count":6,"title":["A Test of Fit for Bivariate Distributions"],"prefix":"10.1093","volume":"35","author":[{"given":"Ram C.","family":"Dahiya","sequence":"first","affiliation":[{"name":"University of Wisconsin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John","family":"Gurland","sequence":"additional","affiliation":[{"name":"University of Massachusetts"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920475104100_rssb00973-cit-0001","first-page":"89","volume-title":"On asymptotically normal efficient estimators: 1","author":"Barankin","year":"1951"},{"key":"2024090920475104100_rssb00973-cit-0002","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1080\/01621459.1961.10482117","article-title":"Bivariate logistic distributions","volume":"56","author":"Gumbel","year":"1961","journal-title":"J. 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