Structure‐coupled multiphysics imaging in geophysical sciences

LA Gallardo, MA Meju - Reviews of Geophysics, 2011 - Wiley Online Library
Multiphysics imaging or data inversion is of growing importance in many branches of
science and engineering. In geophysical sciences, there is a need for combining information …

[LLIBRE][B] Introduction to Bayesian statistics

KR Koch - 2007 - books.google.com
This book presents Bayes' theorem, the estimation of unknown parameters, the
determination of confidence regions and the derivation of tests of hypotheses for the …

Optimal multi-step collocation: application to the space-wise approach for GOCE data analysis

M Reguzzoni, N Tselfes - Journal of Geodesy, 2009 - Springer
Collocation is widely used in physical geodesy. Its application requires to solve systems with
a dimension equal to the number of observations, causing numerical problems when many …

Monte carlo methods

KR Koch - … : Handbuch der Geodäsie, herausgegeben von Willi …, 2020 - Springer
Monte Carlo methods deal with generating random variates from probability density
functions in order to estimate unknown parameters or general functions of unknown …

Accuracy analysis and applications of the Sterling interpolation method for nonlinear function error propagation

L Wang, C Zou - Measurement, 2019 - Elsevier
The differential is replaced by the Sterling interpolation method with a finite difference,
without calculating the first and second derivatives of the nonlinear function. The mean and …

Scaled unscented transformation of nonlinear error propagation: Accuracy, sensitivity, and applications

L Wang, Y Zhao - Journal of surveying engineering, 2018 - ascelibrary.org
The scaled unscented transformation (SUT) with scaled symmetric sampling strategy is
introduced into Geomatics and expanded. Unlike the Taylor series expansion, this method …

An iteratively reweighted least-squares approach to adaptive robust adjustment of parameters in linear regression models with autoregressive and t-distributed …

B Kargoll, M Omidalizarandi, I Loth, JA Paffenholz… - Journal of geodesy, 2018 - Springer
In this paper, we investigate a linear regression time series model of possibly outlier-afflicted
observations and autocorrelated random deviations. This colored noise is represented by a …

Efficient variance component estimation for large-scale least-squares problems in satellite geodesy

Y Nie, Y Shen, R Pail, Q Chen - Journal of Geodesy, 2022 - Springer
Abstract Efficient Variance Component Estimation (VCE) is significant to optimal data
combination in large-scale least-squares problems as those encountered in satellite …

Approximating covariance matrices estimated in multivariate models by estimated auto-and cross-covariances

KR Koch, H Kuhlmann, WD Schuh - Journal of geodesy, 2010 - Springer
Quantities like tropospheric zenith delays or station coordinates are repeatedly measured at
permanent VLBI or GPS stations so that time series for the quantities at each station are …

[PDF][PDF] Digital filtering algorithms for decorrelation within large least squares problems

C Siemes - 2012 - Citeseer
Abstract The GOCE (Gravity Field and steady-state Ocean Circulation Explorer) mission is
dedicated to the determination of the Earth's gravity field. During the mission period of at …