{"title":"多元偏态正态的平滑检验","authors":"Yan Su, Boyuan Zhou","doi":"10.1145/3373419.3373422","DOIUrl":null,"url":null,"abstract":"Based on the smooth test for uniformity on the surface of a unit sphere, a new test for multivariate skew-normality is presented. The asymptotic null distribution of the transformed sample is obtained, and a bootstrapping algorithm is given to estimate the p-value of the test statistic. By using the Anderson-Darling test, a bootstrapping procedure is provided in order to test whether the shape parameter is zero in the multivariate skew-normal distribution.","PeriodicalId":352528,"journal":{"name":"Proceedings of the 2019 3rd International Conference on Advances in Image Processing","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Smooth Test for Multivariate Skew-Normality\",\"authors\":\"Yan Su, Boyuan Zhou\",\"doi\":\"10.1145/3373419.3373422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on the smooth test for uniformity on the surface of a unit sphere, a new test for multivariate skew-normality is presented. The asymptotic null distribution of the transformed sample is obtained, and a bootstrapping algorithm is given to estimate the p-value of the test statistic. By using the Anderson-Darling test, a bootstrapping procedure is provided in order to test whether the shape parameter is zero in the multivariate skew-normal distribution.\",\"PeriodicalId\":352528,\"journal\":{\"name\":\"Proceedings of the 2019 3rd International Conference on Advances in Image Processing\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2019 3rd International Conference on Advances in Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3373419.3373422\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2019 3rd International Conference on Advances in Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3373419.3373422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Based on the smooth test for uniformity on the surface of a unit sphere, a new test for multivariate skew-normality is presented. The asymptotic null distribution of the transformed sample is obtained, and a bootstrapping algorithm is given to estimate the p-value of the test statistic. By using the Anderson-Darling test, a bootstrapping procedure is provided in order to test whether the shape parameter is zero in the multivariate skew-normal distribution.