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 …

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 …

A simple condition for the boundedness of Sign-Perturbed-Sums (SPS) confidence regions

A Carè - Automatica, 2022 - Elsevier
Abstract Sign-Perturbed-Sums (SPS) is a system identification algorithm that, under mild
assumptions on the distribution of the noise, constructs confidence regions with finite …

Strong consistency of the Sign-Perturbed Sums method

BC Csáji, MC Campi, E Weyer - 53rd IEEE Conference on …, 2014 - ieeexplore.ieee.org
Sign-Perturbed Sums (SPS) is a recently developed non-asymptotic system identification
algorithm that constructs confidence regions for parameters of dynamical systems. It works …

Sign-Perturbed Sums (SPS) with asymmetric noise: Robustness analysis and robustification techniques

A Care, BC Csáji, MC Campi - 2016 IEEE 55th Conference on …, 2016 - ieeexplore.ieee.org
Sign-Perturbed Sums (SPS) is a recently developed finite sample system identification
method that can build exact confidence regions for linear regression problems under mild …

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 …

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 …

Guaranteed characterization of exact non-asymptotic confidence regions as defined by LSCR and SPS

M Kieffer, E Walter - Automatica, 2014 - Elsevier
In parameter estimation, it is often desirable to supplement the estimates with an
assessment of their quality. A new family of methods proposed by Campi et al. for this …

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 …

[PDF][PDF] Subsampling tests of parameter hypotheses and overidentifying restrictions with possible failure of identification

P Guggenberger, M Wolf - Unpublished working paper, UCLA, 2004 - Citeseer
We introduce a general testing procedure in models with possible identification failure that
has exact asymptotic rejection probability under the null hypothesis. The procedure is widely …