Testiranje uporabe metode simulacije Monte Carlo za določitev števila prostostnih stopenj v deformacijski analizi postopka München

Testing the use of the Monte Carlo simulation method to determine the number of degrees of freedom in the deformation analysis of the Munich approach

Author(s):

Aleš Marjetič, Tomaž Ambrožič, Muamer Đidelija, Goran Turk, Simona Savšek

Abstract:

When statistically testing the hypotheses, it can be checked if the test statistic lies in the fail-to-reject region, whose critical values can be computed according to the known probability distribution. The empirical approach to determine the appropriate value of the degrees of freedom is considered to confirm the theoretically defined values from the Munich approach. The results show that the commonly used numbers of degrees of freedom agree with the empirically derived numbers when statistically testing hypotheses in the congruence test, when testing the changes in distances and coordinates of the triangles’ vertices. However, when testing the changes of angles between points in the geodetic network, the empirical value for the number of degrees of freedom is different from the number which is commonly applied. It can be considered the correct value for the corresponding statistical test, which is the main contribution of this work.

Keywords:

Monte Carlo simulation, number of degrees of freedom, Munich approach, statistical testing of hypotheses, deformation analysis of geodetic networks

DOI: 10.15292/geodetski-vestnik.2026.02.187-212

Citation:

Aleš Marjetič, Tomaž Ambrožič, Muamer Đidelija, Goran Turk, Simona Savšek (2026). Testiranje uporabe metode simulacije Monte Carlo za določitev števila prostostnih stopenj v deformacijski analizi postopka München. | Testing the use of the Monte Carlo simulation method to determine the number of degrees of freedom in the deformation analysis of the Munich approach. Geodetski vestnik, 70 (2), 187-212. DOI: 10.15292/geodetski-vestnik.2026.02.187-212