Errors in all variables

We present a thorough derivation of the posterior for the straight line fit employing the hyper-plane prior. For the example of the parabola we enlarge the scope to nonlinear problems, however simplify it to be solved resembling the straight line solution. Finally we come to the problem of determini...

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Bibliographic Details
Main Authors: Preuss, R, Dose, V
Format: Conference Proceeding
Language:English
Subjects:
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ERRORS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SCALING LAWS
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Summary:We present a thorough derivation of the posterior for the straight line fit employing the hyper-plane prior. For the example of the parabola we enlarge the scope to nonlinear problems, however simplify it to be solved resembling the straight line solution. Finally we come to the problem of determining the exponents of a scaling law, where in logarithmic form the scaling exponents are linear coefficients of logarithmic variables.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2149825