Asymptotic properties of SPS confidence regions

E Weyer, MC Campi, BC Csáji - Automatica, 2017 - Elsevier
Abstract Sign-Perturbed Sums (SPS) is a system identification method that constructs non-
asymptotic confidence regions for the parameters of linear regression models under mild …

Sign-perturbed sums: A new system identification approach for constructing exact non-asymptotic confidence regions in linear regression models

BC Csáji, MC Campi, E Weyer - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
We propose a new system identification method, called Sign-Perturbed Sums (SPS), for
constructing non-asymptotic confidence regions under mild statistical assumptions. SPS is …

Sign-perturbed sums (SPS): A method for constructing exact finite-sample confidence regions for general linear systems

BC Csáji, MC Campi, E Weyer - 2012 IEEE 51st IEEE …, 2012 - ieeexplore.ieee.org
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 …

Facing undermodelling in Sign-Perturbed-Sums system identification

A Carè, MC Campi, BC Csáji, E Weyer - Systems & Control Letters, 2021 - Elsevier
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 …

Perturbed datasets methods for hypothesis testing and structure of corresponding confidence sets

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 …

Kernel-based SPS

G Pillonetto, A Carè, MC Campi - IFAC-PapersOnLine, 2018 - Elsevier
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 …

Non-asymptotic confidence regions for the parameters of EIV systems

MM Khorasani, E Weyer - Automatica, 2020 - Elsevier
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 …

Guaranteed non-asymptotic confidence regions in system identification

MC Campi, E Weyer - Automatica, 2005 - Elsevier
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 …

Sign-perturbed sums (SPS) with instrumental variables for the identification of ARX systems

V Volpe, BC Csáji, A Care, E Weyer… - 2015 54th IEEE …, 2015 - ieeexplore.ieee.org
We propose a generalization of the recently developed system identification method called
Sign-Perturbed Sums (SPS). The proposed construction is based on the instrumental …

Exact confidence regions for linear regression parameter under external arbitrary noise

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 …