We propose a new system identification method, called Sign-Perturbed Sums (SPS), for constructing non-asymptotic confidence regions under mild statistical assumptions. SPS is …
In this paper we propose an algorithm for constructing non-asymptotic confidence regions for parameters of general linear systems under mild statistical assumptions. The constructed …
Abstract Sign-Perturbed Sums (SPS) is a finite sample system identification method that constructs exact, non-asymptotic confidence regions for the unknown parameters of linear …
S Kolumbán, I Vajk, J Schoukens - Automatica, 2015 - Elsevier
Hypothesis testing methods that do not rely on exact distribution assumptions have been emerging lately. The method of sign-perturbed sums (SPS) is capable of characterizing …
One of the central issues in system identification consists not only in obtaining a good model of the process under study but also an informative confidence interval around it. This …
In this paper we consider the problem of constructing non-asymptotic confidence regions for the parameters of Errors-In-Variables (EIV) systems where both inputs and outputs are …
In this paper we consider the problem of constructing confidence regions for the parameters of identified models of dynamical systems. Taking a major departure from the previous …
We propose a generalization of the recently developed system identification method called Sign-Perturbed Sums (SPS). The proposed construction is based on the instrumental …
A Senov, K Amelin, N Amelina… - 2014 American Control …, 2014 - ieeexplore.ieee.org
The paper propose new method for identifying non-asymptotic confidence regions for linear regression parameter under external arbitrary noise. This method called Modified Sign …