{"title":"关于Zakai滤波方程的路径唯一性","authors":"V. Lucic, A. Heunis","doi":"10.1109/CDC.2001.914571","DOIUrl":null,"url":null,"abstract":"We study a nonlinear filtering problem in which the signal to be estimated is conditioned by the observations. The main result establishes pathwise uniqueness for the unnormalized (Zakai) filter equation.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On pathwise uniqueness for the Zakai filter equation\",\"authors\":\"V. Lucic, A. Heunis\",\"doi\":\"10.1109/CDC.2001.914571\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a nonlinear filtering problem in which the signal to be estimated is conditioned by the observations. The main result establishes pathwise uniqueness for the unnormalized (Zakai) filter equation.\",\"PeriodicalId\":217237,\"journal\":{\"name\":\"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2001.914571\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.914571","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On pathwise uniqueness for the Zakai filter equation
We study a nonlinear filtering problem in which the signal to be estimated is conditioned by the observations. The main result establishes pathwise uniqueness for the unnormalized (Zakai) filter equation.