The locally best estimators of the first and second order parameters in epoch regression models
Mixed multiepoch linear regression models with nuisance parameters
Generalized method of least squares collocation
Two general solutions of the collocation problem of physical geodesy are given. Their mutual equivalency and equivalency of them to the classical solution in the regular case are proved. The regularity means the non-singularity of the covariance matrix of those random variables by outcomes of which the measured values of the gravitational field are generated.
Testing statistical hypotheses in deformation measurement; one generalization of the Scheffé theorem
Linearization regions for a determination of a calibration curve
Estimation in multiepoch regression models with different structures for studying recent crustal movements
One of the calibration problems
Ferrero formula and triangle misclosures revisited
Nonsensitiveness regions in universal models
Kalman filter with variance components
Linear conform transformation: Errors in both coordinate systems
Linear conform transformation in the case of non-negligible errors in both coordinate systems is investigated. Estimation of transformation parameters and their statistical properties are described. Confidence ellipses of transformed nonidentical points and cross covariance matrices among them and identical points are determined. Some simulation for a verification of theoretical results are presented.
Exponential regression
How the design of an experiment influences the nonsensitiveness regions in models with variance components
Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.
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