A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Geodetic numerical and statistical analysis of data
Abstract The paper presents a more generalized concept of the Helmert’s method of subjecting a least squares adjustment to rigorously enforced boundary conditions through the use of weighting functions applied to both the observed data as well as their functional but unobservable parameters. The generalized concept provides: (1) the algorithm necessary for statistically correct treatment of data from hybrid measuring systems; (2) a means of obtaining optimum design of experiments and achieving unique solutions from even nearly unstable normal equations. Various numerical and statistical measures for investigating nonlinearity effects, instability and convergency conditions, and establishment of statistical confidence in the derived parameters and observed data are given. The entire concept has been successfully applied to terrestrial and celestial geodesy, and is applicable to any experimental data that can be expressed as functions of other parameters that may or may not be directly measurable.
Geodetic numerical and statistical analysis of data
Abstract The paper presents a more generalized concept of the Helmert’s method of subjecting a least squares adjustment to rigorously enforced boundary conditions through the use of weighting functions applied to both the observed data as well as their functional but unobservable parameters. The generalized concept provides: (1) the algorithm necessary for statistically correct treatment of data from hybrid measuring systems; (2) a means of obtaining optimum design of experiments and achieving unique solutions from even nearly unstable normal equations. Various numerical and statistical measures for investigating nonlinearity effects, instability and convergency conditions, and establishment of statistical confidence in the derived parameters and observed data are given. The entire concept has been successfully applied to terrestrial and celestial geodesy, and is applicable to any experimental data that can be expressed as functions of other parameters that may or may not be directly measurable.
Geodetic numerical and statistical analysis of data
Fubara, Dagogo M. J. (author)
1973
Article (Journal)
Electronic Resource
English
Geodäsie , Geometrie , Geodynamik , Mathematik , Mineralogie
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