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Browsing by Subject "parameter estimation"

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    Item type:Article, Access status: Open Access ,
    Statistical algorithms for modelling the results of geodetic observations
    (2010) Czaja, Józef; Dąbrowski, Janusz
    The article presents the principles for linearizing observational equations describing functional relations in the field of geodesy. An algorithm for solving overdetermined systems of equations with a rank deficient coefficient matrix is then formulated. The estimation of parameters which describe the given process is based on the Gauss-Markov model, using the generalized inverse of the normal equations matrix. Variance analysis is used to present formulae for estimating the covariance matrix for the vector of unknowns which is the basis for evaluating the accuracy of the estimated parameters. In the last section, a practical illustration of the proposed algorithm is presented, applied to the modelling of survey observation results in order to estimate the elevation of a water table at four ground points.