Estimation of error in the solutions of inverse problems and application to the limb sounding of the emission of the upper planetary atmosphere

Computer Science – Sound

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Atmospheric Sounding, Error Analysis, Optical Thickness, Statistical Analysis, Upper Atmosphere, Atmospheric Attenuation, Atmospheric Models, Atmospheric Optics

Scientific paper

A statistical approach to error estimation is proposed for inverse problem solutions. For ill-posed problems, such an estimate can be obtained simultaneously with the solution by using the statistical regularization approach. In cases where solution regularization is not required, a similar approach can be used which leads to a statistical formulation of the least squares method. Results of the determination of the volume luminosity of the upper earth atmosphere in the 1.27-micron band from limb sounding data, obtained in the approximation of an optically thin atmosphere, are examined as an example.

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