{"title":"Polynomial regression coefficients estimation in finite differences space","authors":"Anatolii Omelchenko, Oleksii Fedorov","doi":"10.1109/RADIOELEK.2015.7129024","DOIUrl":null,"url":null,"abstract":"Estimators for polynomial regression coefficients in case when correlation function of observation noise is not completely known have been considered. It was shown that sufficient statistics to define i-th order regression coefficient with respect to equidistantly spaced samples are finite differences of the same order. The major attention was paid to research into roundoff noises influence on precision of polynomial regression coefficients computation.","PeriodicalId":193275,"journal":{"name":"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 25th International Conference Radioelektronika (RADIOELEKTRONIKA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2015.7129024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Estimators for polynomial regression coefficients in case when correlation function of observation noise is not completely known have been considered. It was shown that sufficient statistics to define i-th order regression coefficient with respect to equidistantly spaced samples are finite differences of the same order. The major attention was paid to research into roundoff noises influence on precision of polynomial regression coefficients computation.