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Keywords:
Gauss-Markov model; linearly sufficient statistics; invariant linearly sufficient statistics
Gauss-Markov model; linearly sufficient statistics; invariant linearly sufficient statistics
Summary:
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.
References:
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