The effect of a priori knowledge on parameter estimation errors with applications to incoherent scatter

Details The effect of a priori knowledge on parameter estimation errors with applications to incoherent scatter The effect of a priori knowledge on parameter estimation errors with applications to incoherent scatter

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jatp...52..675v&link_type=abstract

(EISCAT Scientific Association, International EISCAT Workshop, 4th, Sigtuna, Sweden, June 5-9, 1989) Journal of Atmospheric and

Mathematics

Logic

5

Bayes Theorem, Error Analysis, Incoherent Scatter Radar, Statistical Analysis, Eiscat Radar System (Europe), Ion Temperature, Least Squares Method, Linear Systems, Oxygen Atoms

Scientific paper

The dependence of the width of the a posteriori distribution (i.e., parameter estimation error) in a multiparameter fit on the a priori width of another parameter is studied in the framework of linear statistical inversion theory. An exact formula is given which makes it possible to estimate how accurate the a priori information on a given parameter must be in order to obtain the other parameter with a prescribed accuracy. These estimates are useful in those cases where some errors are strongly correlated, like the ion temperature and the O(+) content in incoherent scatter measurements with the EISCAT UHF radar.

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