I've found that there may possibly be many meanings of "objectively analyzed" and "objective analysis" in modeling and data assimilation. What are some of the accepted meanings?
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In my field of oceanography, objective analysis (OA) is often taken as a synonym of optimal interpolation (OI). (e.g. Emery & Thomson, Section 4.2; and in many lectures).
The same method is also referred to as objective mapping or Gauss-Markov smoothing. In this case OA is a least squared interpolation where the estimate is unbiased and the expected error is a minimum in the least squares sense.
In many other cases, objective analysis is taken to be a specific type of optimal interpolation. A good example is the group from University of Liege. In this case OI includes other methods like kriging, successive corrections or the Cressman method.
In my case, I tend to follow the nomenclature and suggestions by Ide et al. (1997).
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$\begingroup$ This is great - thanks aretxabaleta. I'm having trouble with the above link for Ide; I believe the paper's title is: "Unied Notation for Data Assimilation: Operational, Sequential and Variational". And another link is: twister.ou.edu/OBAN2010/IdeEtal_1997_Notation.pdf $\endgroup$ Commented Apr 24, 2015 at 2:20
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$\begingroup$ Ide, K., Courtier, P., Ghil, M., & Lorenc, A. C. (1997). Unified notation for data assimilation: operational, sequential and variational. J. Met. Soc. Japan. Special Issue in Meteorology and Oceanography: Theory and Practice, 75(1B), 181-189. $\endgroup$– arkaiaCommented Apr 24, 2015 at 11:49
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$\begingroup$ twister.caps.ou.edu/OBAN2004/IdeEtal_1997_Notation.pdf 128.149.132.117/data3/ATN_output/%2Btemp/%2Bseaice/… $\endgroup$– arkaiaCommented Apr 24, 2015 at 11:50