Msplit Estimation Based on L1 Norm Condition

P Wyszkowska, R Duchnowski - Journal of Surveying Engineering, 2019 - ascelibrary.org
The variants of Msplit estimation proposed so far are based on the objective function related
to the least-squares method and hence they are known as the squared Msplit estimation. We …

Stability analysis of deformation-monitoring network points using simultaneous observation adjustment of two epochs

AR Amiri-Simkooei, SM Alaei-Tabatabaei… - Journal of surveying …, 2017 - ascelibrary.org
An important issue in deformation analysis is identification of (un) stable points in a
monitoring network. This paper proposes a new method that identifies the unstable points of …

Total Msplit estimation

Z Wiśniewski - Journal of Geodesy, 2022 - Springer
Msplit estimation is a method that enables the estimation of mutually competing versions of
parameters in functional observation models. In the presented study, the classical functional …

Matrix strengthening the identification of observations with split functional models in the squared Msplit (q) estimation process

MH Zienkiewicz, PS Dąbrowski - Measurement, 2023 - Elsevier
This article addresses the issue of raising the level of identification of observations with
either single or more split functional models in the squared M split (q) estimation process …

Shift- Estimation in Deformation Analyses

Z Wiśniewski, MH Zienkiewicz - Journal of surveying engineering, 2016 - ascelibrary.org
This paper presents an estimation method allowing direct and robust outlier assessment of
parameter shifts in functional models of geodetic observations. The systems adopted in the …

[PDF][PDF] Determination of vertical indicators of ground deformation in the Old and Main City of Gdansk area by applying unconventional method of robust estimation

MH Zienkiewicz, R Baryła - Acta Geodyn. Geomater, 2015 - irsm.cas.cz
It is well known that the reference points' stability is a very important issue in the geodetic
methods of determining the displacements. The methodology of the geodetic deformation …

Robustness of Msplit(q) estimation: A theoretical approach

R Duchnowski, Z Wiśniewski - Studia Geophysica et Geodaetica, 2019 - Springer
M split (q) estimation is a development of M-estimation which is based on the assumption
that a functional model of observations can be split into q competitive ones. The main idea …

Identification of unstable reference points and estimation of displacements using squared Msplit estimation

MH Zienkiewicz - Measurement, 2022 - Elsevier
The article presents a new version of the method for estimating parameters in a split
functional model, which enables the determination of displacements of geodetic network …

Accuracy of the Hodges–Lehmann estimates computed by applying Monte Carlo simulations

R Duchnowski, Z Wiśniewski - Acta geodaetica et geophysica, 2017 - Springer
The paper concerns assessing the accuracy of some variants of robust R-estimates, namely
the Hodges–Lehmann estimates, which can be applied, for example, in deformation …

[PDF][PDF] Multi split functional model of geodetic observations in deformation analyses of the Olsztyn Castle

MH Zienkiewicz, K Hejbudzka… - Acta Geodyn. Geomater, 2017 - researchgate.net
The paper presents monitoring of the geodetic displacements using the Msplit (q) estimation
method. Generally, the approach is based on a multi split functional model of geodetic …