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Non-asymptotic sequential confidence regions with fixed sizes for the multivariate nonlinear parameters of regression
Authors:Andrey V Timofeev  
Institution:aDepartment of Statistics, Speech Technology Center, 4 Krasutskogo Street, St.-Petersburg, 196084, Russia
Abstract:In this paper we consider a sequential design for the estimation of nonlinear parameters of regression with guaranteed accuracy. Non-asymptotic confidence regions with fixed sizes for the least squares estimates are used. The obtained confidence region is valid for finite numbers of data points when the distributions of the observations are unknown.
Keywords:Non-asymptotic nonlinear estimation  Sequential analysis  Confidence regions  Guaranteed accuracy
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