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Sufficiency and completeness in the general Gauss-Markov model. (English) Zbl 0535.62007
Author’s summary: This paper develops the concepts ”linear sufficiency”, ”linear minimal sufficiency”, and ”linear completeness” in the general Gauss-Markov model $$EY=X\beta$$, Cov Y$$=V$$. Characterizations of these concepts are given. It is shown that linear sufficient and linear complete statistics are sufficient and complete, respectively, if Y is normally distributed. An application considers stepwise regression analysis.
Reviewer: C.Hipp

##### MSC:
 62B05 Sufficient statistics and fields 62J05 Linear regression; mixed models