{"title":"关于检验分布规律均匀性的一些新的k -样本检验","authors":"B. Lemeshko, I. Veretelnikova","doi":"10.1109/APEIE.2018.8545256","DOIUrl":null,"url":null,"abstract":"Properties of k-samples tests for testing the homogeneity of distribution laws have been investigated. Tests have been proposed in which the maximum of the two-samples statistics of the Smirnov, the Lehmann-Rosenblatt and the Anderson-Darling tests as applied by pairs to the k-samples was utilized. Models of limiting statistics distributions for the proposed tests as well as for the Anderson-Darling k-sample test have been made. Comparative analysis of the power of the tests has been done.","PeriodicalId":147830,"journal":{"name":"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)","volume":"112 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On Some New K-Samples Tests for Testing the Homogeneity of Distribution Laws\",\"authors\":\"B. Lemeshko, I. Veretelnikova\",\"doi\":\"10.1109/APEIE.2018.8545256\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Properties of k-samples tests for testing the homogeneity of distribution laws have been investigated. Tests have been proposed in which the maximum of the two-samples statistics of the Smirnov, the Lehmann-Rosenblatt and the Anderson-Darling tests as applied by pairs to the k-samples was utilized. Models of limiting statistics distributions for the proposed tests as well as for the Anderson-Darling k-sample test have been made. Comparative analysis of the power of the tests has been done.\",\"PeriodicalId\":147830,\"journal\":{\"name\":\"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)\",\"volume\":\"112 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APEIE.2018.8545256\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APEIE.2018.8545256","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Some New K-Samples Tests for Testing the Homogeneity of Distribution Laws
Properties of k-samples tests for testing the homogeneity of distribution laws have been investigated. Tests have been proposed in which the maximum of the two-samples statistics of the Smirnov, the Lehmann-Rosenblatt and the Anderson-Darling tests as applied by pairs to the k-samples was utilized. Models of limiting statistics distributions for the proposed tests as well as for the Anderson-Darling k-sample test have been made. Comparative analysis of the power of the tests has been done.