{"title":"测试基于独立过程的统计数据","authors":"Leyla R. Kakadjanova","doi":"10.56017/2181-1318.1093","DOIUrl":null,"url":null,"abstract":"Paper is devoted to investigating classical normalized empirical process of independence. Processes are investigated by using strong approximation meth-ods with best rate of convergence. We also consider the problems of finding of limit distributions of certain classes of statistics for testing the hypothesis of in-dependence of random variable and event. The application to random censoring model also considered.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Test statistics based on independence processes\",\"authors\":\"Leyla R. Kakadjanova\",\"doi\":\"10.56017/2181-1318.1093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Paper is devoted to investigating classical normalized empirical process of independence. Processes are investigated by using strong approximation meth-ods with best rate of convergence. We also consider the problems of finding of limit distributions of certain classes of statistics for testing the hypothesis of in-dependence of random variable and event. The application to random censoring model also considered.\",\"PeriodicalId\":127023,\"journal\":{\"name\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56017/2181-1318.1093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56017/2181-1318.1093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Paper is devoted to investigating classical normalized empirical process of independence. Processes are investigated by using strong approximation meth-ods with best rate of convergence. We also consider the problems of finding of limit distributions of certain classes of statistics for testing the hypothesis of in-dependence of random variable and event. The application to random censoring model also considered.
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