Combinations of Least-Squares Approximations in the Case of Correlated Variables

Details Combinations of Least-Squares Approximations in the Case of Correlated Variables Combinations of Least-Squares Approximations in the Case of Correlated Variables

Apr 1963

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1963saosr.122.....k&link_type=abstract

SAO Special Report #122 (1963)

Astronomy and Astrophysics

Astronomy

Scientific paper

This paper discusses the problem of estimating a mean vector of n independent sample mean vectors of the same population or the same physical quantity with their corresponding n variance-covariance matrices (or weight matrices) for which off-diagonal elements are nonzero; e. g., when fitting an equation of polynomial of some degree to a large number of observations by the least squares. Solution is based on the statistical estimation theory and has practical utility in the field of astronomy.

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