{"title":"失配条件下的三个假设稳健检测设计","authors":"E. Haroutunian","doi":"10.1109/CSITechnol.2019.8895251","DOIUrl":null,"url":null,"abstract":"Generalizing the result of D. Kazacos for two hypotheses we consider the ternary detection problem of the Neyman-Pearson type under mismatch. For the case of independent identically distributed observations the sufficiency condition of existence of test with an exponentially dicreasing probability of error is formulated in terms of the new notion of “divergence for three distributions in certain order”.","PeriodicalId":414834,"journal":{"name":"2019 Computer Science and Information Technologies (CSIT)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On Three Hypotheses Robust Detection Design Under Mismatch\",\"authors\":\"E. Haroutunian\",\"doi\":\"10.1109/CSITechnol.2019.8895251\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalizing the result of D. Kazacos for two hypotheses we consider the ternary detection problem of the Neyman-Pearson type under mismatch. For the case of independent identically distributed observations the sufficiency condition of existence of test with an exponentially dicreasing probability of error is formulated in terms of the new notion of “divergence for three distributions in certain order”.\",\"PeriodicalId\":414834,\"journal\":{\"name\":\"2019 Computer Science and Information Technologies (CSIT)\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Computer Science and Information Technologies (CSIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSITechnol.2019.8895251\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Computer Science and Information Technologies (CSIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSITechnol.2019.8895251","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Three Hypotheses Robust Detection Design Under Mismatch
Generalizing the result of D. Kazacos for two hypotheses we consider the ternary detection problem of the Neyman-Pearson type under mismatch. For the case of independent identically distributed observations the sufficiency condition of existence of test with an exponentially dicreasing probability of error is formulated in terms of the new notion of “divergence for three distributions in certain order”.
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