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Treatment of Gross Errors Using Maximum Probability Theory
Author(s) -
Dharssi I.,
Lorenc A. C.,
Ingleby N. B.
Publication year - 1992
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49711850709
Subject(s) - gaussian , generalization , interpolation (computer graphics) , scheme (mathematics) , mathematics , algorithm , nonlinear system , computer science , statistics , artificial intelligence , mathematical analysis , physics , motion (physics) , quantum mechanics
We describe a nonlinear analysis scheme capable of directly treating observations which have a non‐Gaussian error distribution. This non‐Gaussian analysis scheme is shown to be a generalization of the familiar optimum interpolation scheme and must be solved iteratively. the approach to the treatment of gross errors is compared with a more traditional approach in which a quality‐control step precedes the analysis. Simulation experiments are performed in which the observations have many of the characteristics of observations from the proposed space‐borne atmospheric laser Doppler instrument and a 50% probability of gross error. Both approaches are shown to perform well, with the non‐Gaussian analysis giving the better results.