{"title":"强混合假设下多元递归核密度估计模的强相合性","authors":"Fatma Ben Khadher, Y. Slaoui","doi":"10.37863/tsp-5865169817-24","DOIUrl":null,"url":null,"abstract":"\nIn this research paper, we define a kernel estimator of the mode based on the recursive kernel density estimator developed by [23]. In addition, we establish its almost sure convergence under strong mixing hypothesis. Finally, we corroborate these theoretical results through numerical simulations.\n","PeriodicalId":38143,"journal":{"name":"Theory of Stochastic Processes","volume":"62 6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Strong consistency of the mode of multivariate recursive kernel density estimator under strong mixing hypothesis\",\"authors\":\"Fatma Ben Khadher, Y. Slaoui\",\"doi\":\"10.37863/tsp-5865169817-24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\nIn this research paper, we define a kernel estimator of the mode based on the recursive kernel density estimator developed by [23]. In addition, we establish its almost sure convergence under strong mixing hypothesis. Finally, we corroborate these theoretical results through numerical simulations.\\n\",\"PeriodicalId\":38143,\"journal\":{\"name\":\"Theory of Stochastic Processes\",\"volume\":\"62 6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theory of Stochastic Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37863/tsp-5865169817-24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Stochastic Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37863/tsp-5865169817-24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Strong consistency of the mode of multivariate recursive kernel density estimator under strong mixing hypothesis
In this research paper, we define a kernel estimator of the mode based on the recursive kernel density estimator developed by [23]. In addition, we establish its almost sure convergence under strong mixing hypothesis. Finally, we corroborate these theoretical results through numerical simulations.
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