{"title":"交叉验证的光谱窗宽选择:连续时间几乎周期性相关过程的实例","authors":"Sylvestre Placide Ekra, V. Monsan","doi":"10.16929/as/2022.3217.303","DOIUrl":null,"url":null,"abstract":"This work presents a procedure to choose the width of the spectral window used in the smoothing of a periodogram when estimating the spectral density of an almost periodically correlated process. The cross-validation procedure we propose is based on the estimation of the integrated square error using the \"Leave-out-I\" principle.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"108 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Choice of the spectral window width by cross-validation: Case of the almost periodically correlated process with continuous time\",\"authors\":\"Sylvestre Placide Ekra, V. Monsan\",\"doi\":\"10.16929/as/2022.3217.303\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work presents a procedure to choose the width of the spectral window used in the smoothing of a periodogram when estimating the spectral density of an almost periodically correlated process. The cross-validation procedure we propose is based on the estimation of the integrated square error using the \\\"Leave-out-I\\\" principle.\",\"PeriodicalId\":430341,\"journal\":{\"name\":\"Afrika Statistika\",\"volume\":\"108 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Statistika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.16929/as/2022.3217.303\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Statistika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.16929/as/2022.3217.303","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Choice of the spectral window width by cross-validation: Case of the almost periodically correlated process with continuous time
This work presents a procedure to choose the width of the spectral window used in the smoothing of a periodogram when estimating the spectral density of an almost periodically correlated process. The cross-validation procedure we propose is based on the estimation of the integrated square error using the "Leave-out-I" principle.