Geodesic
Stability of invariant linearly sufficient statistics in the general Gauss-Markov model
Applications of Mathematics, Tome 42 (1997) no. 1, pp. 71-77.

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Necessary and sufficient conditions are derived for the inclusions $J_0\subset J$ and $J_0^{*}\subset J^{*}$ to be fulfilled where $J_0$, $J_0^{*}$ and $J$, $J^{*}$ are some classes of invariant linearly sufficient statistics (Oktaba, Kornacki, Wawrzosek (1988)) corresponding to the Gauss-Markov models $GM_0=(y,X_0\beta _0,\sigma _0^2V_0)$ and $GM=(y,X\beta ,\sigma ^2V)$, respectively.
DOI : 10.1023/A:1022244727376
Classification : 62A01, 62B05, 62F10, 62J05
Keywords: Gauss-Markov model; linearly sufficient statistics; invariant linearly sufficient statistics 
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Kornacki, Andrzej. Stability of invariant linearly sufficient statistics in the general Gauss-Markov model. Applications of Mathematics, Tome 42 (1997) no. 1, pp. 71-77. doi : 10.1023/A:1022244727376. http://geodesic.mathdoc.fr/articles/10.1023/A:1022244727376/

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