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Geophysical data analysis : discrete inverse theory /
Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Diego :
Academic Press,
©1989.
|
| Edición: | Rev. ed. |
| Colección: | International geophysics series ;
v. 45. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 037 | |a 83187:83187 |b Elsevier Science & Technology |n http://www.sciencedirect.com | ||
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| 100 | 1 | |a Menke, William. | |
| 245 | 1 | 0 | |a Geophysical data analysis : |b discrete inverse theory / |c William Menke. |
| 250 | |a Rev. ed. | ||
| 260 | |a San Diego : |b Academic Press, |c ©1989. | ||
| 300 | |a 1 online resource (xii, 289 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a International geophysics series ; |v v. 45 | |
| 504 | |a Includes bibliographical references (pages 277-280) and index. | ||
| 505 | 0 | |a Preface. -- Introduction. -- DESCRIBING INVERSE PROBLEMS -- Formulating Inverse Problems. -- The Linear Inverse Problem. -- Examples of Formulating Inverse Problems. -- Solutions to Inverse Problems. -- SOME COMMENTS ON PROBABILITY THEORY -- Noise and Random Variables. -- Correlated Data. -- Functions of Random Variables. -- Gaussian Distributions. -- Testing the Assumption of Gaussian Statistics -- Confidence Intervals. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1:THE LENGTH METHOD -- The Lengths of Estimates. -- Measures of Length. -- Least Squares for a Straight Line. -- The Least Squares Solution of the Linear Inverse Problem. -- Some Examples. -- The Existence of the Least Squares Solution. -- The Purely Underdetermined Problem. -- Mixed-b1Determined Problems. -- Weighted Measures of Length as a Type of A Priori Information. -- Other Types of A Priori Information. -- The Variance of the Model Parameter Estimates. -- Variance and Prediction Error of the Least Squares Solution. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES -- Solutions versus Operators. -- The Data Resolution Matrix. -- The Model Resolution Matrix. -- The Unit Covariance Matrix. -- Resolution and Covariance of Some Generalized Inverses. -- Measures of Goodness of Resolution and Covariance. -- Generalized Inverses with Good Resolution and Covariance. -- Sidelobes and the Backus-Gilbert Spread Function. -- The Backus-Gilbert Generalized Inverse for the Underdetermined Problem. -- Including the Covariance Size. -- The Trade-off of Resolution and Variance. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS -- The Mean of a Group of Measurements. -- Maximum Likelihood Solution of the Linear Inverse Problem. -- A Priori Distributions. -- Maximum Likelihood for an Exact Theory. -- Inexact Theories. -- The Simple Gaussian Case with a Linear Theory. -- The General Linear, Gaussian Case. -- Equivalence of the Three Viewpoints. -- The F Test of Error Improvement Significance. -- Derivation of the Formulas of Section 5.7. -- NONUNIQUENESS AND LOCALIZED AVERAGES -- Null Vectors and Nonuniqueness. -- Null Vectors of a Simple Inverse Problem. -- Localized Averages of Model Parameters. -- Relationship to the Resolution Matrix. -- Averages versus Estimates. -- Nonunique Averaging Vectors and A Priori Information. -- APPLICATIONS OF VECTOR SPACES -- Model and Data Spaces. -- Householder Transformations. -- Designing Householder Transformations. -- Transformations That Do Not Preserve Length. -- The Solution of the Mixed-Determined Problem. -- Singular-Value Decomposition and the Natural Generalized Inverse. -- Derivation of the Singular-Value Decomposition. -- Simplifying Linear Equality and Inequality Constraints. -- Inequality Constraints. -- LINEAR INVERSE PROBLEMS AND NON-GAUSSIAN DISTRIBUTIONS -- L1 Norms and Exponential Distributions. | |
| 520 | |a Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geophysics |x Measurement. | |
| 650 | 0 | |a Oceanography |x Measurement. | |
| 650 | 0 | |a Inverse problems (Differential equations) |x Numerical solutions. | |
| 650 | 6 | |a Problèmes inverses (Équations différentielles) |x Solutions numériques. | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geography. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geology. |2 bisacsh | |
| 650 | 7 | |a Geophysics |x Measurement. |2 fast |0 (OCoLC)fst00941024 | |
| 650 | 7 | |a Inverse problems (Differential equations) |x Numerical solutions. |2 fast |0 (OCoLC)fst00978099 | |
| 650 | 7 | |a Oceanography |x Measurement. |2 fast |0 (OCoLC)fst01043696 | |
| 776 | 0 | 8 | |i Print version: |a Menke, William. |t Geophysical data analysis. |b Rev. ed. |d San Diego : Academic Press, ©1989 |z 0124909213 |z 9780124909212 |w (DLC) 89031224 |w (OCoLC)19457375 |
| 830 | 0 | |a International geophysics series ; |v v. 45. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=279574 |z Texto completo |
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