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JOURNAL OF FACULTY OF CIVIL ENGINEERING 46, 2024..y., pp. 40-49


INFLUENCE OF WEIGHTS ON THE UNKNOWNS' ESTIMATION IN 1D GEODETIC NETWORKS
 
DOI: 10.14415/JFCE-911
UDC: 528.41
CC-BY-SA 4.0 license
Author : Nestorović, Žarko ; Trifković, Novica
 
 Summary:
 This paper represents the results of provided research about influence of weights on the unknowns. The research was conducted in the cases of classical Least Square estimation of unknows as well as the generalized matrix inversion. The research was provided for the six cases of 1D networks starting from the simplest cases to the more complicated. The research encompassed hundred random variations of weights values per each researched case in the range of (-0,3 - +0,3) related to the starting weights value. The results showed relatively small influences of weights in considered range on the variations of the unknowns. The possible practical importance of this research is that the influence of wrong determined weights could be modelled and estimated in advance.
 
 Keywords:
 LEAST SQUARE METHOD, GENERALIZED MATRIX INVERSION, STATISTICAL ANALYSIS, SENSITIVITY, STATISTICAL SIGNIFICANCE