{"title":"歪斜模式的最大似然概率","authors":"A. Orlitsky, Shengjun Pan","doi":"10.1109/ISIT.2009.5206021","DOIUrl":null,"url":null,"abstract":"A pattern is skewed if, as in 11123, one of its symbols repeats and the others appear once. We show that the pattern-maximum-likelihood distribution of essentially all skewed patterns consists of one discrete element whose probability is the fraction of times the repeated symbol appears in the pattern.","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"105 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"The maximum likelihood probability of skewed patterns\",\"authors\":\"A. Orlitsky, Shengjun Pan\",\"doi\":\"10.1109/ISIT.2009.5206021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A pattern is skewed if, as in 11123, one of its symbols repeats and the others appear once. We show that the pattern-maximum-likelihood distribution of essentially all skewed patterns consists of one discrete element whose probability is the fraction of times the repeated symbol appears in the pattern.\",\"PeriodicalId\":412925,\"journal\":{\"name\":\"2009 IEEE International Symposium on Information Theory\",\"volume\":\"105 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2009.5206021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5206021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The maximum likelihood probability of skewed patterns
A pattern is skewed if, as in 11123, one of its symbols repeats and the others appear once. We show that the pattern-maximum-likelihood distribution of essentially all skewed patterns consists of one discrete element whose probability is the fraction of times the repeated symbol appears in the pattern.
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