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- Publications
- Influence

Parameter estimation and hypothesis testing in linear models

- K. Koch
- Mathematics, Computer Science
- 25 April 1988

This textbook on theoretical geodesy deals with the estimation of unknown parameters, the testing of hypothesis and the estimation of intervals in linear models. The reader will find presentations of… Expand

Introduction to Bayesian Statistics

- K. Koch
- Mathematics
- 30 July 2007

The Introduction to Bayesian Statistics (2nd Edition) presents Bayes theorem, the estimation of unknown parameters, the determination of confidence regions and the derivation of tests of hypotheses… Expand

Regularization of geopotential determination from satellite data by variance components

Abstract. Different types of present or future satellite data have to be combined by applying appropriate weighting for the determination of the gravity field of the Earth, for instance GPS… Expand

Maximum likelihood estimate of variance components

- K. Koch
- Mathematics
- 1 December 1986

SummaryUsing the orthogonal complement likehood function, an iterative procedure for the maximum likelihood estimates of the variance and covariance components is derived. It is shown that these… Expand

Evaluation of uncertainties in measurements by Monte Carlo simulations with an application for laserscanning

- K. Koch
- Mathematics
- 2008

Abstract The trapezoidal and triangular distribution recommended by the “Guide to the Expression of Uncertainty in Measurement (GUM)” are derived to obtain methods for drawing random samples from… Expand

Robust Kalman filter for rank deficient observation models

- K. Koch, Ying-Gu Yang
- Mathematics
- 26 August 1998

Abstract. A robust Kalman filter is derived for rank deficient observation models. The datum for the Kalman filter is introduced at the zero epoch by the choice of a generalized inverse. The robust… Expand

Determining uncertainties of correlated measurements by Monte Carlo simulations applied to laserscanning

- K. Koch
- Mathematics
- 2008

Abstract The determination of uncertainties according to the “Guide to the Expression of Uncertainty in Measurement (GUM)” is extended to correlated measurements. The correlations are estimated by… Expand

Bayesian Inference with Geodetic Applications

- K. Koch
- Mathematics
- 16 November 1990

Basic concepts.- Bayes' Theorem.- Prior density functions.- Point estimation.- Confidence regions.- Hypothesis testing.- Predictive analysis.- Numerical techniques.- Models and special applications.-… Expand

Gibbs sampler for computing and propagating large covariance matrices

- Brigitte Gundlich, K. Koch, J. Kusche
- Mathematics
- 1 December 2003

The use of sampling-based Monte Carlo methods for the computation and propagation of large covariance matrices in geodetic applications is investigated. In particular, the so-called Gibbs sampler,… Expand