{"title":"二元分布的拟合检验","authors":"R. C. Dahiya, J. Gurland","doi":"10.1111/J.2517-6161.1973.TB00973.X","DOIUrl":null,"url":null,"abstract":"Abstract : Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square 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. (Author)","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"127 1","pages":"452-465"},"PeriodicalIF":0.0000,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A Test of Fit for Bivariate Distributions\",\"authors\":\"R. C. Dahiya, J. Gurland\",\"doi\":\"10.1111/J.2517-6161.1973.TB00973.X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract : Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square 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. (Author)\",\"PeriodicalId\":17425,\"journal\":{\"name\":\"Journal of the royal statistical society series b-methodological\",\"volume\":\"127 1\",\"pages\":\"452-465\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1973-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the royal statistical society series b-methodological\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1111/J.2517-6161.1973.TB00973.X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the royal statistical society series b-methodological","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/J.2517-6161.1973.TB00973.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract : Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square 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. (Author)
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