Biased estimation: a simple framework for inversion and uncertainty analysis with prior information

Geophysical Journal International

Volumn 119, Issue 2, 1994, Pages 521-528

  Meju, Max A ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

a priori information; most squares inversion; parameter estimation; uncertainty analysis

Indexed keywords

A PRIORI INFORMATION; ESTIMATION; GEOPHYSICS; INVERSION; MATHEMATICAL ANALYSIS; MOST SQUARES METHOD; NONUNIQUENESS; PARAMETER ESTIMATION; UNCERTAINTY ANALYSIS;

EID: 0028564447     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1994.tb00139.x     Document Type: Article

References (29)

1. Bayesian reference in geomagnetism
2. Uniqueness in the inversion of inaccurate gross earth data
3. The resolving power of gross earth data
4. Oceam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data
5. Bayesian estimation in seismic inversion. Part I: Principles
6. Bayesian estimation in seismic inversion. Part II: Uncertainty Analysis
7. Statistical theory for the interpretation of geophysical fields
8. Ridge regression: biased estimation for nonorthogonal problems
9. Interpretation of inaccurate, insufficient, and inconsistent data
10. Most squares inversion
11. The use of
12. A Bayesian approach to nonlinear inversion
13. An algorithm for least‐squares estimation of nonlinear parameters
14. Generalized inverses, ridge regression, biased linear estimation and nonlinear estimation
15. An effective ridge regression procedure for resistivity inversion
16. Inversion for smooth geoelectromagnetic models and the effective depth of inference: an interpretative analysis
17. A general program for linear parameter estimation and uncertainty analysis
18. Iterative most‐squares inversion: application to magnetotelluric data
19. The geoelectric structure across the Great Glen Fault, northern Scotland
20. Generalized nonlinear inverse problems solved using the least squares criterion
21. Regularization of Ill‐posed Problems
22. On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature