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\footnotesize
\noindent Statistica Sinica {\bf 16}(2006), 7-14

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\centerline{\large\bf A NOTE ON MINIMAL SUFFICIENCY}
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\author{J. E. Chac\'{o}n, J. Montanero, A. G. Nogales and  P. P\'{e}rez}
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\centerline{\it Universidad de Extremadura}
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\begin{quotation}
\noindent {\it Abstract:}
This paper shows that the classes of sufficient and minimal sufficient
$\sigma$-fields are closed under products. The results are used to construct several
examples that throw some light on the study of the relationship between minimal sufficiency
and invariance, a problem posed in Hall, Wijsman and Ghosh (1965).\par
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\noindent {\it Key words and phrases:}
Completeness, invariance, minimal sufficiency.\par
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