Kongruenzanalyse auf der Basis originärer Beobachtungen

• The congruence analysis is one of the major tasks in the field of applied engineering geodesy. The stability of an object is tested and evaluated based on statistical hypothesis testing. Especially in the 1970s and 1980s the necessary mathematical and statistical background was derived by several institutes. Based on these scientific fundamentals algorithms and software packages were developed and compared to each other. Although modern metrology allows today continual observations, for economic reasons the discontinuous or routine deformation analysis still plays a key role in applied geodesy today, because the instruments are not setup permanently. Usually, deformations are derived from the results of independent single adjustments. This article presents an analysis concept that combines the different original observation sets and furthermore integrates deformation analysis into one unified model. Based on Baarda's Data-Snooping method, a generalised hypothesis testing is introduced to detect questionable observations as well as object deformations. More-Over, shift and strain parameters can be estimated by extend-ing the functional model of the least-squares algorithm. The approach is demonstrated on a synthetic horizontal network presented in 1983, followed by the analysis of a levelling network, which was observed at the Onsala Space Observatory in 2014 and 2015.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

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